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  • ECE 301 (SanSummer2008)
    ...TI systems: The convolution sum_(ECE301Summer2008asan)|DR LTI systems: The convolution sum]] ...stems: The convolution integral_(ECE301Summer2008asan)|CT LTI systems: The convolution integral]]
    7 KB (921 words) - 06:08, 21 October 2011
  • Problem 5 (ECE301Summer2008asan)
    ...utput y(t). Since the input and impulse response are given, we simply use convolution on x(t) and h(t) to find the system's output.
    1 KB (227 words) - 10:55, 30 January 2011
  • Problem 5 - Alternate Solution (ECE301Summer2008asan)
    ...utput y(t). Since the input and impulse response are given, we simply use convolution on x(t) and h(t) to find the system's output.
    1 KB (222 words) - 10:57, 30 January 2011
  • Associative Property for Continous Time (ECE301Summer2008asan)
    #<math>y(t)=x(t)*h(t)=h(t)*x(t)</math> commutative property of convolution for continuous time ...h>x(t)*(h_1(t)*h_2(t))=x(t)*(h_2(t)*h_1(t))</math> commutative property of convolution for continuous time
    1 KB (249 words) - 10:45, 21 November 2008
  • ECE 301 Fall 2007 mboutin LTI Systems
    ...Fall 2007 mboutin Properties of Convolution and LTI Systems|Properties of Convolution and LTI Systems]]== {{:ECE 301 Fall 2007 mboutin Properties of Convolution and LTI Systems}}
    824 B (87 words) - 11:46, 8 December 2008
  • ECE 301 Fall 2007 mboutin Properties of Convolution and LTI Systems
    [[Category: Convolution]] ...Invariant (LTI) systems have properties that arise from the properties of convolution.
    1 KB (178 words) - 11:50, 8 December 2008
  • ECE 301 Fall 2007 mboutin Convolution Simplification
    [[Category: Convolution]] <b> Convolution of Unit Step Function: </b>
    1,016 B (163 words) - 11:54, 8 December 2008
  • ECE 301 Fall 2007 mboutin Most General Convolutions (CT)
    [[Category: Convolution]] =Framework for computing the CT Convolution of two unit step exponentials=
    2 KB (470 words) - 11:04, 30 January 2011
  • ECE 301 Fall 2007 mboutin Convolution
    [[Category: Convolution]] =Example of CT convolution=
    3 KB (549 words) - 10:37, 30 January 2011
  • ECE 301 Fall 2007 mboutin Sifting Property
    ...o ask it. One of its uses is in helping develop and understand the idea of convolution.
    2 KB (322 words) - 17:27, 23 April 2013
  • ECE 301 Fall 2007 mboutin Examples
    ==[[ECE 301 Fall 2007 mboutin Convolution|Convolution Example]]== {{:ECE 301 Fall 2007 mboutin Convolution}}
    850 B (90 words) - 12:27, 12 December 2008
  • ECE 301 Fall 2007 mboutin Interesting Site
    =Interesting Site to learn about convolution= ...The part that has been most helpful to me is under the first link 'Joy of Convolution.' I haven't even had time to get around the whole site, but there seem to b
    652 B (110 words) - 11:30, 30 January 2011
  • Lecture Schedule (ECE438BoutinSpring09)
    | align="right" style="padding-right: 1em;" | Friday || 02/27/09 || Circular convolution, one random variable || 1.6.5., 3.1.1
    6 KB (689 words) - 07:59, 2 August 2010
  • Hw2 comments (ECE438BoutinSpring09)
    <br>- In Q3, convolution must be separated into various cases. The analytical expression will vary
    797 B (145 words) - 08:36, 10 February 2009
  • Hw4 comments (ECE438BoutinSpring09)
    - Zero-order hold (also known as zeroth-order interpolation) involves convolution with a causal rect in time. In frequency, this is multiplication of the sp ...etrical about t=0) triangle. The key is to realize that a triangle is the convolution of two rect's - producing a <math>sinc^2</math> in frequency. This can als
    906 B (143 words) - 12:40, 4 March 2009
  • Question 8.4
    <math>*</math> means convolution.
    608 B (114 words) - 11:25, 23 April 2009
  • Course evaluation (ECE438BoutinSpring2009)
    ...ncorporate sampling. I'd imagine all of that, plus DFT, FFT, and circular convolution could be covered by the first exam. Next maybe a short review of 302 mater
    4 KB (709 words) - 13:42, 3 May 2009
  • Reading guide (ECE438BoutinSpring2009)
    ...rdue.edu/~bouman/ece438/lecture/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...bouman/ece438/lecture/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    8 KB (1,226 words) - 11:40, 1 May 2009
  • Sum of independent x,y ~uniform(0,1) on 10/10 ECE302Fall2008sanghavi
    ...dependent x,y there had seemed to be some confusion when we were doing the convolution steps. some people had trouble seeing why the boundaries for 0,z and then z ...y always solve this (or know what shape to expect at least) with graphical convolution: http://www.jhu.edu/signals/convolve/
    930 B (156 words) - 13:27, 22 November 2011
  • 7.4 Katie Pekkarinen ECE302Fall2008sanghavi
    The PDF of the sum of two independent random variables is the convolution of the two PDFs. The lecture notes from 10/10 are helpful.
    133 B (23 words) - 19:13, 19 October 2008
  • 7.4 Steven Streeter ECE302Fall2008sanghavi
    *Then compute the convolution through the equation: <math> f_z(z)= \int \limits_{-\infty}^{\infty} f_B(\t
    2 KB (344 words) - 17:00, 21 October 2008
  • HW1.5 Brian Thomas - Energy and Power of a Complex Signal over Infinite Time ECE301Fall2008mboutin
    ...plication in this context. The start symbol is typically used for denoting convolution in electrical engineering. </span>
    4 KB (734 words) - 15:54, 25 February 2015
  • 3.B Nicholas Gentry ECE301Fall2008mboutin
    ...this symbol <math>*</math> for multiplication, it can be misunderstood for convolution.
    906 B (161 words) - 16:07, 19 September 2008
  • HW3.B Mark Frankosky ECE301Fall2008mboutin
    (Note: The star in this case is the multiplication operator, not the convolution operator)
    601 B (103 words) - 18:18, 18 September 2008
  • HW4.3 Ananya Panja ECE301Fall2008mboutin
    we can determine the output using convolution integral
    1 KB (215 words) - 14:56, 26 September 2008
  • HW4.3 Josh Long ECE301Fall2008mboutin
    The response is equal to the convolution of the input signal and the system.
    550 B (110 words) - 17:36, 26 September 2008
  • HW5.4 Eric Zarowny ECE301Fall2008mboutin
    ...ms that involve sums and changing their bounds. Also, I am not great with convolution on a more complex level.
    314 B (57 words) - 14:14, 7 October 2008
  • HW5.4 Max Paganini ECE301Fall2008mboutin
    ...a hard time grasping it since we never really went over how it affects the convolution and such.
    299 B (53 words) - 10:11, 8 October 2008
  • HW6.3 Jun Hyeong Park ECE301Fall2008mboutin
    <math> y[n] = x[n] * h[n] , where * is convolution/,</math>
    725 B (114 words) - 14:31, 10 October 2008
  • Homework 7 ECE301Fall2008mboutin
    * [[Eric Zarowny - Convolution and Change of Variables in Discrete Time_ECE301Fall2008mboutin]]
    3 KB (406 words) - 11:28, 16 September 2013
  • Eric Zarowny - Convolution and Change of Variables in Discrete Time ECE301Fall2008mboutin
    =Convolution and Change of Variables in Discrete-time=
    1 KB (229 words) - 10:41, 30 January 2011
  • Tyler Houlihan: Chapter 7 Notes ECE301Fall2008mboutin
    A multiplication in the time domain becomes a convolution in the frequency domain This isolates the range, and if the convolution was ideal, this function should only have a value when k=0, which would yie
    3 KB (543 words) - 17:23, 10 November 2008
  • H.W ECE301Fall2008mboutin
    ...\frac{1}{2\pi}2\pi\delta(w-w_{c}) * X(w) = X(w-w_{c})</math> , where * is convolution
    1 KB (270 words) - 12:35, 16 November 2008
  • Tyler Houlihan - Sampling with zero-order hold ECE301Fall2008mboutin
    ...l <math>x(t)</math>, we must find a signal <math>h_2(t)</math> so that the convolution of <math>h_1(t)</math> and <math>h_2(t)</math> represent a low pass filter
    2 KB (411 words) - 17:16, 17 November 2008
  • HW10 Justin Kietzman- Properties of Laplace ECE301Fall2008mboutin
    ==Convolution==
    392 B (70 words) - 13:48, 23 November 2008
  • Daniel Morris: Properties of Z-transform ECE301Fall2008mboutin
    ==Convolution==
    693 B (127 words) - 06:51, 1 December 2008
  • Sangwan Han HW 11 ECE301Fall2008mboutin
    Convolution
    1 KB (207 words) - 11:42, 3 December 2008
  • Exam3 ECE301Fall2008mboutin
    | align="right" style="padding-right: 1em;"|Convolution || <math>\,\! x_1(t)*x_2(t)</math> || <math>\,\! X_1(s)X_2(s)</math> || At | align="right" style="padding-right: 1em;"|Convolution || <math>\,\! x_1[n] * x_2[n]</math> || <math>\,\! X_1(z)X_2(z)</math> ||
    21 KB (3,312 words) - 11:58, 5 December 2008
  • Chapter 10 ECE301Fall2008mboutin
    | align="right" style="padding-right: 1em;"|Convolution || <math>\,\! x_1[n] * x_2[n]</math> || <math>\,\! X_1(z)X_2(z)</math> ||
    6 KB (938 words) - 06:59, 8 December 2008
  • Final ECE301Fall2008mboutin
    ...an ability to determine the response of linear systems to any input signal convolution in the time domain. [1,2,4;a,e,k] #Convolution in DT
    7 KB (1,017 words) - 10:05, 11 December 2008
  • Z-Transformproperties ECE301Fall2008mboutin
    | align="right" style="padding-right: 1em;"|Convolution || <math>\,\! x_1[n] * x_2[n]</math> || <math>\,\! X_1(z)X_2(z)</math> ||
    3 KB (421 words) - 06:52, 8 December 2008
  • LaplaceProperties ECE301Fall2008mboutin
    | align="right" style="padding-right: 1em;"|Convolution || <math>\,\! x_1(t)*x_2(t)</math> || <math>\,\! X_1(s)X_2(s)</math> || At
    2 KB (358 words) - 06:53, 8 December 2008
  • Test Old Kiwi
    === Convolution ===
    744 B (106 words) - 11:02, 27 March 2008
  • Aperiodic Convolution Old Kiwi
    === Formula for Aperiodic Convolution ===
    198 B (32 words) - 10:51, 7 March 2008
  • ECE662:Homework 1 Old Kiwi
    Signals can be smoothed by applying a Gaussian filter, which is just the convolution of a signal with an appropriately scaled Gaussian function. Due to the cent
    10 KB (1,594 words) - 11:41, 24 March 2008
  • Periodic Convolution Old Kiwi
    === Formula for Periodic Convolution ===
    504 B (76 words) - 10:51, 7 March 2008
  • Chapter 2 Old Kiwi
    [[Properties of Convolution and LTI systems_Old Kiwi]] [[Convolution Simplification_Old Kiwi]]
    2 KB (363 words) - 21:12, 16 March 2008
  • Properties of Convolution and LTI systems Old Kiwi
    ...Invariant (LTI) systems have properties that arise from the properties of convolution. <font size="3"><b>Property 1: Convolution is Commutative</b></font>
    1 KB (190 words) - 21:15, 16 March 2008
  • Convolution Simplification Old Kiwi
    ==Convolution of Unit Step Function:== To take a convolution, first determine whether the system is CT or DT and use the correct formula
    815 B (144 words) - 21:19, 16 March 2008
  • Most general Convolutions (CT) Old Kiwi
    Let's take the convolution of the two most general unit-step exponentials in CT.
    3 KB (515 words) - 21:33, 16 March 2008
  • TestZoom Old Kiwi
    convolution is a mathematical operator which takes two functions f and g and produces a ...can be used to find the output of an LTI system. The output is simply the convolution of the input and the system's impulse response.
    821 B (137 words) - 16:22, 20 March 2008
  • Lab1 Old Kiwi
    2D Convolution Algorithm --peter.s.mc.kinnis.1, Tue, 22 Jan 2008 16:44:33 -0500 reply ...ng if this is how we are suposed to impliment, or if I should just write a convolution in the space domain?
    10 KB (1,738 words) - 22:44, 7 April 2008
  • Sifting property Old Kiwi
    ...ask it. One of its uses is in helping develop and understand the idea of convolution.
    2 KB (305 words) - 11:17, 24 March 2008
  • Lecture 28 - Final lecture Old Kiwi
    This is the same as convolution: At each successive time step, the convolution iterates on the results
    10 KB (1,728 words) - 08:55, 17 January 2013
  • ECE301:SanSummer08 Old Kiwi
    ##[[DT LTI systems: The convolution sum_Old Kiwi]] ##[[CT LTI systems: The convolution integral_Old Kiwi]]
    4 KB (531 words) - 11:32, 25 July 2008
  • Associative Property for Continous Time Old Kiwi
    #<math>y(t)=x(t)*h(t)=h(t)*x(t)</math> commutative property of convolution for continuous time ...h>x(t)*(h_1(t)*h_2(t))=x(t)*(h_2(t)*h_1(t))</math> commutative property of convolution for continuous time
    1 KB (238 words) - 16:53, 25 June 2008
  • Problem 5 Old Kiwi
    ...utput y(t). Since the input and impulse response are given, we simply use convolution on x(t) and h(t) to find the system's output.
    956 B (170 words) - 16:23, 3 July 2008
  • Problem 5 - Alternate Solution Old Kiwi
    ...utput y(t). Since the input and impulse response are given, we simply use convolution on x(t) and h(t) to find the system's output.
    954 B (175 words) - 16:56, 30 June 2008
  • Course Summary ECE438Fall09mboutin
    ...rdue.edu/~bouman/ece438/lecture/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...bouman/ece438/lecture/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    9 KB (1,237 words) - 09:29, 5 October 2009
  • Student summary Discrete Fourier transform ECE438F09
    Leakage is caused by the convolution by the DTFT of a window function, which is a sinc. This causes copies of t
    4 KB (695 words) - 06:46, 23 September 2011
  • Calculating E infinity and P infinity - Tylor Thompson (thompso7)
    ...his context. The star symbol in electrical engineering is usually denoting convolution. </span>
    2 KB (408 words) - 17:20, 25 February 2015
  • E infinity and P infinity - Evan Witkoske
    ...the star symbol to denote multiplication here. It is usually reserved for convolution in electrical engineering.</span>
    3 KB (432 words) - 17:55, 25 February 2015
  • Exams/Quizzes
    * DT and CT LTI system input/output relationship by convolution
    5 KB (643 words) - 11:55, 6 August 2009
  • Homework 2
    7. Convolution implementation Write a Matlab function that per- forms convolution of two discrete-time input signals. Note that the
    3 KB (451 words) - 00:38, 2 July 2009
  • Helpful Youtube videos
    Matlab Examples - Review of Discrete Convolution using Matlab == http://www.youtube.com/watch?v=bPAKMS6_FWg&eurl=http://fre
    420 B (68 words) - 11:20, 29 June 2009
  • HW 3.7 - Ryne Rayburn ECE301 Summer2009
    %% Performs convolution on inputted vectors x & y. Then displays the
    752 B (131 words) - 08:56, 1 July 2009
  • HW 3.7 - Nick Gentry ECE301 Summer2009
    ...do not take into account the variations in starting time of the resulting convolution.
    258 B (39 words) - 13:07, 1 July 2009
  • HW 3.7 - Tyler Mattmuller ECE301 Summer2009
    X=[x,zeros(1,n)]; %padding with zeros will allow for convolution to be
    673 B (123 words) - 11:18, 1 July 2009
  • HW 3.7 - Ted Schnittgen ECE301 Summer2009
    function [ y ] = convolution( h, x ) %CONVOLUTION computes the convolution for two DT LTI signals;
    717 B (116 words) - 11:25, 1 July 2009
  • Ted Schnittgen ECE301 Summer2009
    %CONVOLUTION computes the convolution for two DT LTI signals % Algebraically, convolution is the same operation as multiplying the
    1 KB (166 words) - 11:30, 1 July 2009
  • HW 3.7 - Vishal Ramani ECE301 Summer2009
    %This Program computes the convolution of two inputs x(t) and h(t)with the %The program below will compute the convolution, y(t), based on the users
    1 KB (205 words) - 14:56, 1 July 2009
  • HW 3.7 - Evan Witkoske ECE301 summer2009
    %Convolution problem HW 3.7 CONV Convolution and polynomial multiplication.
    1 KB (204 words) - 22:28, 1 July 2009
  • HW 3.7 - Mohd Faiz Mohd Asri ECE301 Summer2009
    function y=convolution(x,h);
    275 B (59 words) - 22:35, 1 July 2009
  • HW 3.7 - Jamis Martin ECE301 Summer2009
    % Convolution Program <br>
    568 B (114 words) - 00:51, 2 July 2009
  • Midterm Cheat Sheet
    * [[Convolution and LTI systems]] == Convolution ==
    1 KB (152 words) - 04:06, 23 July 2009
  • Ryne Rayburn - ECE 301 Summer 2009
    == CT Convolution: Definition ==
    184 B (38 words) - 10:44, 30 January 2011
  • Ryne Rayburn - ECE 301 Summer 2009 - DT Convo
    == DT Convolution: Definition==
    165 B (34 words) - 10:48, 30 January 2011
  • Convolution and LTI systems
    [[DT Convolution - Mark Scherschel II (mschersc)]] [[CT Convolution - Nick Gentry (nkgentry)]]
    95 B (13 words) - 18:10, 22 July 2009
  • DT Convolution - Mark Scherschel II (mschersc)
    =Definition of DT convolution=
    106 B (22 words) - 10:51, 30 January 2011
  • CT Convolution - Nick Gentry (nkgentry)
    =Definition of CT convolution=
    152 B (28 words) - 11:01, 30 January 2011
  • Ted Schnittgen - ECE 301 Summer 2009
    =Convolution of a rectangular impulse train with itself (continuous-time)=
    971 B (55 words) - 10:46, 30 January 2011
  • Jonathan Chu - ECE 301 Summer 2009 - DT Convo Sample Prob
    =Example of DT convolution=
    732 B (136 words) - 10:49, 30 January 2011
  • CTFS Property: - Ali Alyoussef
    * CT Convolution: F(x_1(t)*x_2(t)) = X_1(\omega)X_2(\omega) \!
    1 KB (178 words) - 04:40, 23 July 2009
  • Discrete Time Fourier Transform Properties (DTFT) - Mohammed Almathami
    DT Fourier Transform Convolution <math> x[n]*y[n] = X(e^{jw})Y(e^{jw}) \! </math>
    537 B (85 words) - 07:16, 14 November 2011
  • ECE301 (BoumanFall2009)
    *[http://www.jhu.edu/signals/convolve/index.html The Joy of Convolution!]
    6 KB (785 words) - 06:02, 1 March 2010
  • Peer Legacy ECE202
    ...or the rest of your college career and even into the workforce. Understand convolution (applies to ECE301, ECE438, ECE440), bode plots (ECE382), and Laplace trans *Be sure to get the full story on the dirac function, convolution, bode plot approximations, and linearity. Don't rely on memorization. -Mike
    7 KB (1,297 words) - 11:41, 10 December 2011
  • Number two, ye scallywags!
    Definition of Convolution:
    1 KB (264 words) - 05:57, 11 June 2013
  • MA598R 7.7
    ...= \|K\|_1\|f\|_p = \|f\|_p</math> where the inequality is a result of the convolution theorem. Proof. Using Young's Convolution Theorem with <math>r = \infty</math> we find:
    4 KB (657 words) - 05:53, 11 June 2013
  • MA598R 7.2
    Applying the definitions of Fourier transform and convolution, followed by Fubini (since <math>f, g \in L(\mathbb{R})</math>) we have:
    1 KB (206 words) - 05:52, 11 June 2013
  • Number six, thar she blows!
    but since the convolution is define everywhere and <math>f\ast f = 0\Rightarrow f = 0</math> everywhe
    994 B (157 words) - 05:56, 11 June 2013
  • Detailed Course Description
    * A knowledge of impulse response functions and convolution for linear systems.
    7 KB (1,153 words) - 14:06, 24 August 2009
  • Student summary CT DT Fourier transform ECE438F09
    ** <span style="color:green">Careful here: the symbol <math>~_*</math> is for convolution, not multiplication.</span>--[[User:Mboutin|Mboutin]] 20:18, 1 September 20
    2 KB (375 words) - 04:11, 3 September 2009
  • Student summary Filtering
    * The results of the frequency domain multiplication with the filter (CONVOLUTION IN THE TIME DOMAIN) gives us the desired signal without noise.
    7 KB (1,251 words) - 11:54, 21 September 2012
  • Student summary z transform ECE438F09
    Convolution:
    2 KB (252 words) - 06:55, 16 September 2013
  • Student summary sampling part1 ECE438F09
    ...ransform of the comb is also an impulse train in the frequency domain, the convolution of X(f) with P(f) simply makes copies of X(f) at each impulse with the magn
    8 KB (1,452 words) - 06:49, 16 September 2013
  • HW3 Signal Reconstruction Interpolation
    Properties of convolution allow
    2 KB (436 words) - 19:51, 22 September 2009
  • Fourier Transforms and its Properties
    Convolution: Convolution in Time domain corresponds to multiplication in Frequency domain.
    1 KB (218 words) - 07:34, 25 August 2010
  • DTFourierTransformCollectedfromECE301
    | align="right" style="padding-right: 1em;" | convolution property || <math>x[n]*y[n] \!</math> || ||<math> X(\omega)Y(\omega) \!</ma
    2 KB (351 words) - 12:52, 22 October 2010
  • CT Fourier Transform (frequency in radians per time unit)
    | align="right" style="padding-right: 1em;" | convolution property
    8 KB (1,130 words) - 11:45, 24 August 2016
  • Introduction to Wavelets
    *Also, a close look at the above integral, shows that it is simply a convolution of the mother wavelet and the signal.
    10 KB (1,646 words) - 11:26, 18 March 2013
  • Student summary spectral analysis 2D signalsb
    ...lent webpage showing how 2D convolution is done: [http://www.songho.ca/dsp/convolution/convolution2d_example.html])''<br><br>
    8 KB (1,397 words) - 11:23, 18 March 2013
  • Student summary spectral analysis 2D signals
    Convolution Theorem
    5 KB (950 words) - 15:17, 30 November 2010
  • Peer Legacy ECE301
    ...n you reach the end of the course that you still remember why you're using convolution in the first place. "The output of a LTI system is the input convolved with ...teaching all possible fundamentals. Pay special attention to Sampling and Convolution if you intend to take any courses related to signal processing. Also, your
    14 KB (2,366 words) - 17:32, 21 April 2013
  • Discrete Fourier Transform table
    ...rac{1}{N} X[k]\circledast Y[k], \ \circledast \text{ denotes the circular convolution} </math> | align="right" style="padding-right: 1em;" | Convolution
    4 KB (633 words) - 15:28, 23 April 2013
  • Snikitha ListECE202
    14. Convolution&nbsp;&nbsp;&nbsp;&nbsp;(used in [[ECE301|ECE 301]], [[ECE438|ECE 438]])<br/
    6 KB (873 words) - 17:02, 15 April 2013
  • Snikitha ListECE301
    ...ability to determine the response of linear systems to any input signal by convolution in the time domain. <br/><br/>4. Convolution sum/integral, properties of convolution
    3 KB (394 words) - 07:08, 4 May 2010
  • Lecture Schedule ECE438Fall10 Boutin
    ...rdue.edu/~bouman/ece438/lecture/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...~bouman/ece438/lecture/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    9 KB (1,331 words) - 07:15, 29 December 2010
  • ECE438 HW1 Solution
    ...e added! In particular, some students said it was not clear how to get the convolution property in terms of f. So this needs to be explained clearly.</span> --[[U | align="right" style="padding-right: 1em;" | [[Explain_CTFT_convprop|convolution property]]
    6 KB (823 words) - 12:26, 15 September 2010
  • CT Fourier Transform (frequency in hertz)
    | align="right" style="padding-right: 1em;" | convolution property
    5 KB (687 words) - 21:01, 4 March 2015
  • Explain CTFT convprop
    =How to obtain the convolution property in terms of f in hertz (from the formula in terms of <math>\omega<
    643 B (108 words) - 12:13, 15 September 2010
  • Hw5ECE438 discussion
    For question 2c, will the impulse response just be the convolution of a unit impulse with the transfer function ho(t) (given on pg 521 fig 7.7
    1 KB (159 words) - 03:56, 29 September 2010
  • Landis' Matlab Page
    * Understanding convolution using Matlab ** [http://web.ics.purdue.edu/~huffmalm/myconv.m Custom, illustrative convolution function]
    4 KB (602 words) - 09:32, 6 October 2010
  • Presentation Use of MATLAB in classroom
    '''Understanding convolution using Matlab''' (from [[ECE301|ECE301]]) * [http://web.ics.purdue.edu/~huffmalm/myconv.m Custom, illustrative convolution function]
    2 KB (286 words) - 05:45, 29 December 2010
  • ECE438 Week8 Quiz
    (<math>\ast</math> implies the convolution)
    3 KB (462 words) - 10:42, 11 November 2011
  • Hw6ECE438F10
    c) y[n]= x[n]* (u[n+3]-u[n-3]) ('*' means convolution)
    3 KB (467 words) - 11:29, 20 October 2010
  • Hw6ECE438 discussion
    *For the last part of the last problem, is the star for multiplication or convolution? **Convolution. -pm
    490 B (75 words) - 03:29, 21 October 2010
  • HWK8MA527Fall2010
    I am using the convolution of via convolution, you'll need to compute the convolution integral:
    2 KB (411 words) - 15:21, 19 October 2010
  • CT DT Fourier transform ECE438F10
    '''Time Domain Multiplication/Convolution''': '''Time Domain Multiplication/Convolution''':
    4 KB (746 words) - 08:47, 11 November 2013
  • ECE438 Week9 Quiz Q3sol
    Using the definition of convolution, <br/> Using the definition of convolution, <br/>
    3 KB (553 words) - 17:21, 20 October 2010
  • Table DT Fourier Transforms
    | align="right" style="padding-right: 1em;" | convolution property
    7 KB (1,037 words) - 21:05, 4 March 2015
  • Hw8ECE438F10
    c) Compute six-point circular convolution between x[n] and the signal ...result is the same as the periodic repetition (with period N) of the usual convolution between x[n] and h[n]?
    2 KB (366 words) - 12:16, 27 October 2010
  • Lecture27ECE438F10
    ...obtaining the relationship between the circular convolution and the usual convolution. ...ule_1/1.6_dft/1.6.5_periodic_convol.pdf Prof. Allebach's notes on periodic convolution]
    767 B (98 words) - 12:26, 27 October 2010
  • Continuous Space Fourier Transform (frequences in hertz)
    | align="right" style="padding-right: 1em;" | '''Convolution Theorem
    8 KB (1,167 words) - 15:32, 23 April 2013
  • ECE438 Week12 Quiz
    c) Compute six-point circular convolution between x[n] and the signal c. Compute 4-pt circular convolution directly of <math>y[n]=x[n]\circledast_4 h[n]</math>;(You may use plot to e
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  • ECE438 Week12 Quiz Q5sol
    c. Circular convolution equals linear convolution plus aliasing. The length of x[n] is 3 and length of h[n] is 4. We need <ma
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  • ECE438 HW8 Solution
    computing the circular convolution with <math>x[n]</math> and <math>h[n]</math>, ...convolution between x[n] and h[n] to be the same with the N-point circular convolution,
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  • ECE 600 Prerequisites Discrete Random Variables
    .../math> because Binomial distribution is the <math class="inline">n</math> convolution of Bernoulli distribution.
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  • ECE438 Week13 Quiz
    Obtain the 4-point circular convolution of x[n] and z[n]. d) When computing the N-point circular convolution of x[n] and the signal
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  • ECE438 Week13 Quiz Q3sol
    computing 5-point circular convolution with <math>y[n]</math> and <math>h[n]</math>,
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  • ECE438 Week13 Quiz Q4sol
    Using definition of convolution, <br> <math>\begin{align}
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  • 2010 Fall ECE 438 Boutin/ECE438Mid2FormulaSheet Work
    | align="right" style="padding-right: 1em;" | Circular Convolution
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  • Info multiplication property FT w
    is given by the convolution
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  • Z Transform table
    | align="right" style="padding-right: 1em;" | Convolution
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  • Lecture38ECE438F10
    Today, we showed how to process an discrete-space image by convolution with a function h[n,m]. We also looked at this processing from the frequenc
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  • Summary spectral analysis 2D signals Chen Fall 2010
    | align="right" style="padding-right: 1em;" | '''Convolution Theorem
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  • Properties
    == 4. Time Convolution Theorem ==
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  • 2010 Fall ECE 438 properties
    Z(x[n+k]) = Z<sup>k</sup>X(z)<br>4. Time Convolution Theorem
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  • 2011 Spring ECE 301 Boutin
    *Computing the output of an LTI system by convolution **[[Output of LTI DT system by convolution ECE301S11|Compute the output of the following DT LTI system]]
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  • Magnitude complex numbers ECE301S11
    ...he symbol <math class="inline">*</math>: we will be using it to denote the convolution operation later on, so it will be important not to use it to denote multipl
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  • Magnitude complex CT signals ECE301S11
    ...he symbol <math class="inline">*</math>: we will be using it to denote the convolution operation later on, so it will be important not to use it to denote multipl
    2 KB (292 words) - 16:17, 26 November 2013
  • Signal power energy exercise CT ECE301S11
    ...ng the start symbol for multiplication in this context. It usually denotes convolution in electrical engineering.</span>
    4 KB (595 words) - 11:01, 21 April 2015
  • Output of LTI DT system by convolution ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution = Use convolution to compute the system's response to the input
    2 KB (380 words) - 10:20, 11 November 2011
  • Output of LTI CT system by convolution ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution= Use convolution to compute the system's response to the input
    2 KB (389 words) - 10:23, 11 November 2011
  • Lecture8ECE301S11
    ...he system. We covered one example of a DT convolution. An example of a CT convolution will be given in the next lecture. ..._Convolution_sum|A hub page listing ECE301 related pages discussing the CT convolution]]
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  • Computing the output of a CT system using the Convolution sum
    [[Category: convolution]] =Rhea Pages about "Computing the output of a CT system using the convolution sum", [[ECE301]]=
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  • Computing the output of a DT system using the Convolution sum
    [[Category: convolution]] =Rhea Pages about "Computing the output of a DT system using the convolution sum", [[ECE301]]=
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  • Output of LTI DT system by convolution no2 ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution= Use convolution to compute the system's response to the input
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  • Output of LTI DT system by convolution no3 ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution= Use convolution to compute the system's response to the input
    1 KB (178 words) - 10:21, 11 November 2011
  • Output of LTI DT system by convolution no4 ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution= Use convolution to compute the system's response to the input
    1 KB (178 words) - 10:21, 11 November 2011
  • Output of LTI DT system by convolution no5 ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution= Use convolution to compute the system's response to the input
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  • Output of LTI DT system by convolution no6 ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution= Use convolution to compute the system's response to the input
    1 KB (187 words) - 10:22, 11 November 2011
  • Output of LTI DT system by convolution no7 ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution = Use convolution to compute the system's response to the input
    1 KB (255 words) - 10:22, 11 November 2011
  • Output of LTI DT system by convolution no8 ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution = Use convolution to compute the system's response to the input
    1 KB (199 words) - 10:22, 11 November 2011
  • Lecture9ECE301S11
    ...erties of LTI systems that are a direct corollary of the properties of the convolution operation. *By popular demand, I added more practice problems related to the convolution sum.
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  • Discussion HW3 ECE301 Spring2011
    ==About convolution== I understand that convolution is commutative, but I was wondering if there are any good general rules as
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  • 2011 Spring ECE 301 Bouton Notes
    ===Convolution Property===
    10 KB (1,788 words) - 09:22, 11 April 2013
  • Lecture10ECE301S11
    ...erties of LTI systems that are a direct corollary of the properties of the convolution operation. It also contains a discussion of CT LTI systems defined by diffe
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  • Lecture 10 online ECE301S11 Prof Boutin
    ...easy to prove them if we remember that the output of an LTI system is the convolution between the input and the unit impulse response of the system. ...way to obtain them is to remember that the output of an LTI system is the convolution between the input and the unit impulse response of the system. I will only
    10 KB (1,922 words) - 13:46, 2 February 2011
  • ECE301 signals systems learning material
    *[[ECE_301_Fall_2007_mboutin_Convolution_Simplification|Convolution simplification]] ..._Fall_2007_mboutin_Properties_of_Convolution_and_LTI_Systems|Properties of convolution]]
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  • Output of LTI CT system by convolution no2 ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution= Use convolution to compute the system's response to the input
    1 KB (222 words) - 10:23, 11 November 2011
  • Output of LTI CT system by convolution no3 ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution = Use convolution to compute the system's response to the input
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  • Output of LTI CT system by convolution no4 ECE301S11
    ...em_solving|Practice Question]] on Computing the Output of an LTI system by Convolution = Use convolution to compute the system's response to the input
    2 KB (265 words) - 10:24, 11 November 2011
  • Signals and systems practice problems list
    *Computing the output of a DT LTI system by convolution *Computing the output of a CT LTI system by convolution
    12 KB (1,768 words) - 10:25, 22 January 2018
  • Lecture19ECE301S11
    ...cular, we saw the duality property and the convolution property. Using the convolution property, a student was able to formula a lemma about the output of LTI sys
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  • HW5 ECE301 Spring2011 Prof Boutin Solutions
    ...By the multiplication property, the Fourier transform of x(t) is thus the convolution of the Fourier transform of a sinusoidal with itself. -pm </span>
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  • Nyquist rate after squaring sinc signals ECE301S11
    I'm not sure if I did the convolution right... help please (if you can read it)
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  • Nyquist rate after multiplicating sinc signals ECE301S11
    The Fourier transform of the product of two functions is (1/2pi) times the convolution of the Fourier transforms of the individual functions.
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  • ECE301 S11 Exam 3 more practice
    ==Convolution==
    2 KB (359 words) - 08:23, 6 May 2011
  • Review of an alternative book by M.J. Roberts
    ...gnals and proporties of the convolutions. Diagrams and graphical method of convolution are very good and clear. There many different examples to practice and to i
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  • Book Review: Signals & Systems MJR
    ...gnals and proporties of the convolutions. Diagrams and graphical method of convolution are very good and clear. There many different examples to practice and to i
    6 KB (955 words) - 10:54, 6 May 2012
  • ECE301S11 more practice CT conv 1
    Compute the convolution
    1 KB (263 words) - 10:42, 30 April 2011
  • Textbook Review: Fundamentals of Signals
    ...see the rest of the derivations. Following this is a section on using the convolution integral with interconnected systems, then a section on system responses.
    5 KB (854 words) - 10:53, 6 May 2012
  • ECE301S11 more practice CT conv 2
    Compute the convolution
    773 B (132 words) - 06:04, 6 May 2011
  • ConvolutionVideoSpring11
    = &nbsp;Video Tutorial on Convolution (aka Black Magic)<br> = ...found this gif online and it helps me visualize the graphical approach to convolution. &nbsp;If you really want to play around with this concept I have also foun
    2 KB (358 words) - 10:50, 6 May 2012
  • VideoTutorialConvolutionMATLABCodeExample
    = &nbsp;Example MATLAB Code to create visualization of Convolution =
    1 KB (212 words) - 19:16, 5 May 2011
  • ECE301S11 more practice CT conv 3
    Compute the convolution
    2 KB (437 words) - 07:22, 6 May 2011
  • ECE301S11 more practice DT conv 1 ekhall
    Compute the convolution
    800 B (134 words) - 07:53, 6 May 2011
  • ECE301S11 more practice DT conv 7 ekhall
    Compute the convolution
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  • ECE438 Lab Quizpool
    *[[ECE438_Week12_Quiz|Periodic Convolution]] <br/> *[[ECE438_Week13_Quiz|DFT and Periodic Convolution]] <br/>
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  • Lecture Schedule ECE438Fall11 Boutin
    ...rdue.edu/~bouman/ece438/lecture/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...~bouman/ece438/lecture/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    9 KB (1,341 words) - 03:52, 31 August 2013
  • Coding for Android on Windows - Image processing - C Code
    ...really complicated: We just use a filter in form of a matrix and perform a convolution. As this is not really an issue of programming for Android, I won't tell to
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  • Practice DTFT computation cosine ECE438F11
    ...ent: What about other values of omega? Also, be careful not to confuse the convolution symbol (*) with a multiplication. -pm </span>
    6 KB (1,000 words) - 12:33, 26 November 2013
  • Practice writing equations ECE438F11
    ...that using the * symbol for multiplication is confusing: it usually means convolution. -pm </span>
    3 KB (475 words) - 09:56, 11 November 2011
  • Lecture27ECE438F11
    * the N-point circular convolution of x[n] and h{n], [[Category:circular convolution]]
    1 KB (158 words) - 06:30, 11 September 2013
  • Digital signal processing practice problems list
    *[[ECE438_Week12_Quiz|Periodic Convolution]] <br/> *[[ECE438_Week13_Quiz|DFT and Periodic Convolution]] <br/>
    6 KB (801 words) - 22:04, 19 April 2015
  • Lecture35ECE438F11
    ...t, we moved to the topic of image processing. We stated the formula for 2D convolution (in discrete-space). We used this formula to express the output of a discr
    2 KB (301 words) - 06:32, 11 September 2013
  • Lecture 28 - Final lecture OldKiwi
    This is the same as convolution: At each successive time step, the convolution iterates on the results
    10 KB (1,704 words) - 11:25, 10 June 2013
  • Eric Lewis Bonus 2
    ...ac delta function can be used to solve differential equations, because the convolution of a function with the delta function is itself.
    1 KB (196 words) - 17:45, 21 April 2013
  • Collective problem solving why and how to
    ...DT_system_by_convolution_ECE301S11|Output of a discrete-time LTI system by convolution]]
    4 KB (658 words) - 08:25, 7 May 2012
  • 2018 Fall ECE 301 Boutin
    | [[CT_and_DT_Convolution_Examples| CT and DT Convolution Examples]]
    4 KB (534 words) - 19:10, 4 December 2018
  • Bonus point 1 ECE301 Spring2013
    2. Example of graphical convolution. [[Category:convolution]]
    3 KB (511 words) - 10:18, 15 May 2013
  • 1st Bonus Point - Ryan Miller
    [[Category:convolution]] Determine and sketch the convolution of the following signals:
    2 KB (308 words) - 16:53, 10 February 2013
  • ECE301 Bonus questions
    Solve for convolution.
    1 KB (241 words) - 11:27, 10 February 2013
  • ECE301ksteckbe
    2. [[Category:convolution]]
    2 KB (246 words) - 16:48, 10 February 2013
  • ECE301 Spring2013 EC1
    ...:ECE301]] [[Category:probability]] [[Category:problem solving]] [[Category:convolution]] ==<center>Convolution</center>==
    6 KB (991 words) - 15:18, 1 May 2016
  • ECE301 S13 BP1 nareetha
    [[Category:Convolution]] 2.&nbsp;Example of graphical convolution.
    2 KB (299 words) - 09:10, 11 February 2013
  • ECE301 Spring2013 Bonus point 1
    [[Category:convolution]] == 2. Graphical Convolution problem: ==
    1 KB (227 words) - 11:58, 11 February 2013
  • ECE 301 Eric Lewis Bonus lewis91
    [[Category:convolution]]
    900 B (150 words) - 12:52, 11 February 2013
  • Krauserece301bonus1
    ...ability]] [[Category:Problem_solving]] [[Category:LTI_systems]] [[Category:Convolution]] [[Category:Period]]
    763 B (123 words) - 13:04, 11 February 2013
  • Practice Question moment order zero Gaussian ECE302S13Boutin
    ..."dx" in the integral. Also, I should warn you that the symbol "*" denotes convolution. I believe you mean "multiplication", right? Can anobody write a more "comp
    1 KB (214 words) - 04:47, 4 March 2013
  • QE637 T
    ...s it take per output point to implements the complete system with a single convolution.
    3 KB (471 words) - 10:25, 13 September 2013
  • QE637 T Pro2
    To implement the complete system with a single convolution: ...(2N+1)^2 </math> multiplies to implement the complete system with a single convolution.
    4 KB (739 words) - 10:07, 13 September 2013
  • Lecture32 blog ECE302S13 Boutin
    ...formula for the pdf of a sum of independent random variables (namely, the convolution of their respective pdf's).
    2 KB (286 words) - 09:11, 29 March 2013
  • ECE637 Bouman lectures Image Processing sLecture mhossain
    ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]]
    2 KB (246 words) - 07:21, 26 February 2014
  • ECE637 optical imaging systems space domain models S13 mhossain
    ...h(x,y)</math>. The image you form on the focal plane array is given by the convolution of the ideal image you should have formed with the PSF of the system. ...tor (or assume that <math>|M| = 1</math>), the resulting image is like the convolution of what the image should have been with the PSF of the system.
    7 KB (1,274 words) - 07:24, 26 February 2014
  • Lab1 OldKiwi
    2D Convolution Algorithm --peter.s.mc.kinnis.1, Tue, 22 Jan 2008 16:44:33 -0500 reply ...ng if this is how we are suposed to impliment, or if I should just write a convolution in the space domain?
    10 KB (1,756 words) - 08:05, 9 April 2013
  • Lecture42 blog ECE302S13 Boutin
    ...and the autocorrelation of the input. More specifically, the output is the convolution of the autocorrelation of the input with the unit impulse response of the s
    4 KB (545 words) - 07:12, 24 April 2013
  • ECE637 tomographic reconstruction intro S13 mhossain
    ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|convolution back projection (CPB)]] to perform the computation.
    8 KB (1,168 words) - 07:24, 26 February 2014
  • ECE637 tomographic reconstruction S13 mhossain
    ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] ([[ECE637_tomographic_reconstruction_convolution_back_pro
    4 KB (443 words) - 07:24, 26 February 2014
  • ECE637 tomographic reconstruction CT S13 mhossain
    ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|convolution back projection]]
    9 KB (1,390 words) - 07:24, 26 February 2014
  • ECE637 tomographic reconstruction PET S13 mhossain
    ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]]
    6 KB (913 words) - 07:24, 26 February 2014
  • ECE637 tomographic reconstruction coordinate rotation S13 mhossain
    ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]]
    6 KB (834 words) - 07:25, 26 February 2014
  • ECE637 tomographic reconstruction convolution back projection S13 mhossain
    ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] <font size= 3> Subtopic 7: Convolution Back Projection </font size>
    9 KB (1,486 words) - 07:25, 26 February 2014
  • ECE637 tomographic reconstruction radon transform S13 mhossain
    ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]]
    6 KB (942 words) - 07:25, 26 February 2014
  • ECE637 tomographic reconstruction fourier slice theorem S13 mhossain
    ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|convolution back projection]] is the most commonly used method to recover the image and
    9 KB (1,485 words) - 12:30, 17 April 2014
  • Lemma boutin mhossain 05 2013
    Since <math>f_X(x) </math> is the convolution of two even functions, <math>f_X(x)</math> is also even. (proof)<br/>
    6 KB (1,084 words) - 13:20, 13 June 2013
  • Lecture Schedule ECE438Fall13 Boutin
    ...rdue.edu/~bouman/ece438/lecture/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...~bouman/ece438/lecture/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    9 KB (1,353 words) - 09:04, 11 November 2013
  • Lecture2ECE438F13
    ...a few important properties of the FT (namely, duality, multiplication, and convolution) and we computed the Fourier transform of some basic signals (namely, Dirac Someone asked how to get rid of the <math>2\pi</math> in front of the convolution in the multiplication property and I promised to answer on course blog. So,
    3 KB (505 words) - 06:56, 2 September 2013
  • HW1 Solution ECE438F13
    | align="right" style="padding-right: 1em;" | [[Explain_CTFT_convprop|convolution property]]
    5 KB (768 words) - 05:49, 9 September 2013
  • Practice Question inverse z transform 2 ECE438F13
    ...1} </math> :<span style="color:blue"> Grader's comment: Use x instead of convolution symbol </span>
    6 KB (1,011 words) - 12:54, 26 November 2013
  • Practice Question inverse z transform 5 ECE438F13
    ...an style="color:green"> (Instructor's comment: Be careful! You do not mean convolution here, do you? Then you should use <math>\times</math> instead of <math>*</m
    8 KB (1,294 words) - 12:55, 26 November 2013
  • Student projects
    ** [[HonorsContractECE438CBP|Convolution Back Projection (CBP)]]
    3 KB (389 words) - 18:10, 23 February 2015
  • ECE438 digital signal processing textbooks
    ...rdue.edu/~bouman/ece438/lecture/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...~bouman/ece438/lecture/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    6 KB (759 words) - 08:10, 11 November 2013
  • Review2MA527Fall2013
    The Laplace Transform of the convolution in 1a would be the of the convolution. But they also want you to
    11 KB (1,959 words) - 17:57, 10 November 2013
  • Lecture36ECE438F13
    Today we moved to the topic of image processing. We stated the formula for 2D convolution (in discrete-space). We used this formula to express the output of a discr
    2 KB (315 words) - 06:46, 15 November 2013
  • ECE600 F13 Linear Systems with Random Inputs mhossain
    First, write R<math>_Y(\tau)</math> as a convolution. From before, we have that <br/>
    8 KB (1,476 words) - 12:13, 21 May 2014
  • Parzen Windows
    ...(x) * \frac{1}{V_j} \phi(\frac{-x}{h_j}) \right ) \Bigg|_{x_0} \leftarrow Convolution </math>
    12 KB (2,086 words) - 10:54, 22 January 2015
  • 2014 Fall ECE 438 Boutin
    ...there are two ways to define each of these operators: using multiplication/convolution with an impulse train, or using a summation formula without impulse-train. ...transform of an impulse-train. You do not need to prove the multiplication/convolution property of the CTFT, but state it clearly whenever you need to use it.) DE
    13 KB (1,944 words) - 16:51, 13 March 2015
  • Lecture Schedule ECE438Fall14 Boutin
    ...e438/lecture_notes/legacy_notes/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...ure_notes/legacy_notes/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    9 KB (1,320 words) - 04:46, 11 September 2014
  • Lecture2ECE438F14
    ...a few important properties of the FT (namely, duality, multiplication, and convolution) and we computed the Fourier transform of some basic signals (namely, Dirac
    3 KB (393 words) - 06:37, 27 August 2014
  • Slecture rep comb ECE438 Xiaozhe
    We can transform the representation with convolution formula to another and vice versa.
    5 KB (768 words) - 18:51, 16 March 2015
  • Slecture rep comb ECE438 Xiaozhe review
    ...-domain. I really liked the in depth analysis of the simplification of the convolution of x(t) and the impulse train. That was helpful for me. Overall, I liked th
    7 KB (1,226 words) - 05:30, 15 October 2014
  • Fourier Transform rep com Youqin Liu ECE438 slecture
    ...rier Transformation, the multiplication in the time domain is equal to the convolution in the frequency domain.</font size>
    4 KB (610 words) - 18:55, 16 March 2015
  • HW3ECE438F14 Soln
    Performing the convolution in the time domain
    7 KB (1,178 words) - 20:16, 18 December 2014
  • Ftrepcomb mattmiller
    Using the convolution property:
    4 KB (734 words) - 18:56, 16 March 2015
  • FTrepcomb mille507comments
    ...helped me see the correlations between the two, particularly that one is a convolution and the other is a multiplication.
    6 KB (1,033 words) - 05:33, 15 October 2014
  • Nyquist Michael Hayashi ECE438 slecture
    ...system, the multiplication that occurred in the frequency domain must be a convolution in the time domain. Because of the delta-functions in the sampling, the rec ...b of delta-functions manifests as multiple copies of the signal undergoing convolution. Thus, <math>X_{2s}(f)</math> appears as <math>T^{-1}</math>-periodic copie
    10 KB (1,650 words) - 19:04, 16 March 2015
  • Nyquist Miguel Castellanos ECE438 slecture
    ...thcal{F}(x(t)) = X(f) </math>, we can find <math> X_s(f) </math> using the convolution property.
    6 KB (1,008 words) - 19:04, 16 March 2015
  • NyquistRozolis
    Then, this can be brought into the radial frequency domain. Multiplication is convolution in the frequency domain, therefore:
    2 KB (406 words) - 19:06, 16 March 2015
  • Slecture Topic 7 Ryan
    </math> Multiplication in time is equal to convolution in frequency. <br> <math>
    2 KB (335 words) - 09:57, 14 March 2015
  • Yeshmukhanbetov ECE438 slecture review
    ...figures clearly show how to downsample a signal. Some small mistakes are a convolution symbol in your first derivation that should not be there, your sum for the
    3 KB (405 words) - 05:41, 15 October 2014
  • Questions and Answers for Fourier Transform of a Rep and Comb
    ...rep that it is a signal multiplied by an impulse train when it actually a convolution. Demonstrating the comb with an actual comb was a great illustration. It wo
    2 KB (431 words) - 05:33, 15 October 2014
  • HonorsContractECE438Fall14
    Topic 4: [[HonorsContractECE438CBP|Convolution Back Projection (CBP)]]
    2 KB (259 words) - 19:30, 9 February 2015
  • Lecture37ECE438F14
    ...pled, finite duration, voiced phoneme. Recall that a voiced phoneme is the convolution of a pulse-train and and the unit impulse response of the vocal tract (assu
    2 KB (329 words) - 06:44, 24 November 2014
  • Lecture38ECE438F14
    ...moved to the topic of image processing. We stated from the formula for 2D convolution (in discrete-space) expressing the output of a discrete-space LTI system in
    3 KB (373 words) - 07:08, 24 November 2014
  • ECE438HonorsContractFST
    ...ical implementation is unfeasible. This leads to [[HonorsContractECE438CBP|convolution back projection]], which is currently the most common reconstruction method
    8 KB (1,252 words) - 19:26, 9 February 2015
  • ECE438HonorsContractCT
    =Extracting the Line Integral for Convolution Back Projection= ...Once all the line integrals have been computed, [[HonorsContractECE438CBP|convolution back projection]] can be used to produce slices for each line integral whic
    7 KB (1,072 words) - 19:25, 9 February 2015
  • HonorsContractECE438CBP
    <font size="5">Convolution/Fourier Back Projection Algorithm</font> Convolution Back Projection (CBP) offers a reconstruction method that is not computatio
    6 KB (927 words) - 19:26, 9 February 2015
  • Lecture Schedule ECE438Fall15 Boutin
    ...e438/lecture_notes/legacy_notes/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...ure_notes/legacy_notes/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    10 KB (1,356 words) - 13:19, 19 October 2015
  • 2015 Summer ECE 301 Jang
    : [[Media:Add1.pdf|Summary of Some Convolution Results and Properties]] <br /> :[[Media:301Quiz2.pdf|Quiz 2. Convolution of Two Rectangles]] <br />
    6 KB (748 words) - 21:35, 10 August 2015
  • Lecture2ECE438F15
    ...n saw a few important properties of the CTFT (duality, multiplication, and convolution) and we computed the Fourier transform of some basic signals (Dirac delta a
    3 KB (445 words) - 08:57, 28 August 2015
  • HW3ECE438F15 Soln
    Performing the convolution in the time domain
    7 KB (1,181 words) - 19:17, 19 October 2015
  • 2015 Fall ECE 438 Boutin Constant Q Transform Robert Schwieterman
    ...T having non zero components ONLY where w=(2 π/2.2).<br />It is this sinc convolution and frequency bleeding that allows us to view each frequency bin as a band-
    4 KB (655 words) - 23:26, 22 November 2015
  • HW03ECE438Su2016
    *DT convolution: 2.3 *CT convolution: 2.11
    526 B (73 words) - 21:35, 20 June 2016
  • HW04ECE301Su2016
    *DT convolution: 2.21abcd *CT convolution 2.22abcde
    707 B (103 words) - 14:02, 24 June 2016
  • Lecture Schedule ECE438Fall16 Boutin
    ...e438/lecture_notes/legacy_notes/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...ure_notes/legacy_notes/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    10 KB (1,357 words) - 17:02, 14 September 2016
  • Lecture Schedule ECE438Spring17 Boutin
    ...e438/lecture_notes/legacy_notes/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...ure_notes/legacy_notes/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    10 KB (1,357 words) - 09:45, 8 January 2017
  • Edge Detection with Gaussian Blur
    ...the Gaussian capacity. This hypothetically requires an endlessly extensive convolution portion, as the Gaussian appropriation is non-zero all over the place. Luck
    3 KB (498 words) - 18:53, 30 November 2016
  • An Implementation of Sobel Edge Detection
    ...e to a Grayscale image. Then from there, we will use what is called kernel convolution. A kernel is a 3 x 3 matrix consisting of differently (or symmetrically) we By using Kernel Convolution, we can see in the example image below there is an edge between the column
    7 KB (1,184 words) - 20:31, 23 April 2017
  • August 2012(Published on May 2017)
    ...s it take per output point to implements the complete system with a single convolution.
    3 KB (478 words) - 18:07, 1 May 2017
  • QE637 sol2012
    ...s it take per output point to implements the complete system with a single convolution.
    3 KB (466 words) - 21:08, 2 May 2017
  • QE637 sol2012 Q2
    ...multiplies per output point to implement the complete system with a single convolution is <math>\left( 2N+1 \right)\left( 2N+1 \right)\text{ }=4{{N}^{2}}+4N+1</ma
    5 KB (823 words) - 20:43, 2 May 2017
  • Digital Filters: An Overview on Design Points and Considerations
    ...the convolution of the impulse and the signal will still be the same! The convolution process is a multiply and sum of all the points between the input signal an ...rs. Their implementation is much much faster than that of FIR filters. The convolution process used in FIR involves a large number of additions and multiplication
    6 KB (897 words) - 16:44, 7 December 2017
  • 2018 Spring ECE 301 Boutin
    | Convolution Tutorial (with examples!) ([https://www.projectrhea.org/rhea/index.php/ECE3
    4 KB (618 words) - 12:12, 1 May 2018
  • Discrete Time Fourior Transfrom Properties and Proofs
    | Convolution || <math>x[n]*y[n] \rightarrow \chi(\omega)\gamma (\omega)</math> || Recall
    7 KB (1,166 words) - 13:20, 26 March 2018
  • CTFT periodic signals ECE301F18
    | Convolution | Refer to Convolution section
    5 KB (873 words) - 00:52, 15 November 2018
  • CT and DT Convolution Examples
    =CT and DT Convolution Examples=
    5 KB (985 words) - 12:38, 30 November 2018
  • Class note ECE301F18
    * [[Media:part1_notesf18.pdf| Signals, Systems, and Convolution]]
    364 B (52 words) - 20:16, 2 December 2018
  • Moving between the Time Domain and Frequency Domain
    ...lse response h(t), one can either directly calculate the response y(t) via convolution in the time domain, or one can apply the Fourier transform to x(t) and y(t) by the definition of convolution
    5 KB (865 words) - 16:23, 2 December 2018
  • LTI-Systems-Application
    ===Application of LTI Systems and Convolution in Matlab===
    341 B (55 words) - 20:19, 2 December 2018
  • Audio Manipulation and LTI Systems
    =Application of LTI Systems and Convolution in Matlab= Convolution may also be used in the same way to alter your voice which will be demonstr
    7 KB (1,070 words) - 00:57, 3 December 2018
  • QE2010 CS-2 ECE538
    ...e L < N. In this problem <math> y[n]=x[n] \star h[n] </math> is the linear convolution of the causal sinewave of length N in Equation (1) with a causal FIR filter Determine the upper and lower limits in the convolution sum above for <math> 0 \leq n \leq L-1 </math><br/>
    8 KB (1,474 words) - 16:37, 24 February 2019
  • 2019 Fall ECE 438 Boutin
    | [[Applications of Convolution: Simple Image Blurring|Applications of Convolution: Image Blurring]] | [[ece438f19mvermabonus|Image Convolution with Different Filter Applications]]
    4 KB (467 words) - 02:18, 10 December 2019
  • Lecture Schedule ECE438Fall2019 Boutin
    ...e438/lecture_notes/legacy_notes/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...ure_notes/legacy_notes/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    10 KB (1,356 words) - 18:52, 20 August 2019
  • Applications of Convolution: Simple Image Blurring
    <big>'''Applications of Convolution: Image Blurring'''</big> ...t applications of it? In this page, we will explore the application of the convolution operation in image blurring.
    7 KB (1,006 words) - 22:10, 22 December 2019
  • Ece438f19mvermabonus
    <big>'''Image Convolution with Different Filter Applications'''</big> The convolution of an image is basically the same process as signal convolution. The filter matrix needs to be flipped both horizontally and vertically the
    4 KB (624 words) - 09:11, 6 December 2019

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Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang