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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

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