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  • Main Page
    :[[ECE438|ECE438: "Digital Signal Processing with Applications"]]
    2 KB (209 words) - 13:07, 9 September 2022
  • ECE 301 Fall 2007 mboutin Difference Between Fourier and Laplace
    ...n evaluating the Region of Convergence (ROC) of the Laplace transform, the signal has a Fourier transform if:
    2 KB (268 words) - 12:14, 10 December 2008
  • Rhea Portal
    *[[ECE438|ECE438: "Digital Signal Processing with Applications]], the main page for this popular senior level ...tal_signal_processing_practice_problems_list|Practice problems on "Digital Signal Processing"]]
    6 KB (877 words) - 07:22, 21 March 2013
  • ECE 301 (SanSummer2008)
    ##[[Signal Energy and Power_(ECE301Summer2008asan)|Signal Energy and Power]] ...CT signal by its samples:_(ECE301Summer2008asan)| Representation of a CT signal by its samples]]
    7 KB (921 words) - 06:08, 21 October 2011
  • Students' statements of the Sampling Theorem (ECE301Summer2008asan)
    The sampling theorem states that for a signal x(t) to be uniquely reconstructed, its X(jw) = 0 when |w| > wm, and the sam A signal can be recovered from sampling if
    4 KB (667 words) - 11:15, 21 November 2008
  • Official Statements of the Sampling Theorem (ECE301Summer2008asan)
    Let x(t) be a BAND-LIMITED signal with X(w) = 0 for |w| > w_m.
    625 B (99 words) - 13:07, 8 November 2010
  • 1.27 (a,b,c,f) (ECE301Summer2008asan)
    ...--[[User:Asan|Asan]] 03:42, 14 June 2008 (EDT)(It is the system... not the signal)
    3 KB (534 words) - 11:16, 30 January 2011
  • Problem 1 (ECE301Summer2008asan)
    ...e. The transformation consists of a shift and time scaling. The resulting signal is shifted to the left by 5 and time scaled so the new times are divided by ...even and odd parts of a signal x[n]. x1[n] = (x[n] + x[-n])/2 is the even signal. It can be found by plotting x[n]/2 and x[-n]/2 then summing the two signa
    877 B (156 words) - 10:58, 21 November 2008
  • Problem 3 (ECE301Summer2008asan)
    (a) Derive the condition for which the discrete time complex exponetial signal x[n] is periodic.
    2 KB (270 words) - 10:59, 21 November 2008
  • Problem 5 (ECE301Summer2008asan)
    The unit impulse response of an LTI system is the CT signal
    1 KB (227 words) - 10:55, 30 January 2011
  • Problem 5 - Alternate Solution (ECE301Summer2008asan)
    The unit impulse response of an LTI system is the CT signal
    1 KB (222 words) - 10:57, 30 January 2011
  • Problem 5 - Graphical Solution (ECE301Summer2008asan)
    The unit impulse response of an LTI system is the CT signal
    409 B (61 words) - 10:59, 30 January 2011
  • Problem 6 (ECE301Summer2008asan)
    (a) The FT of <math>X(j\omega)</math> of a continuous-time signal x(t) is periodic (b) The FT of <math>X(e^{j\omega})</math> of a continuous-time signal x[n] is periodic
    4 KB (777 words) - 11:49, 21 November 2008
  • ECE301:SanSummer08:Exam II (ECE301Summer2008asan)
    .../math> of the signal x[n] is also periodic with period N. For the periodic signal x[n], find the values of <math>a_0,a_1,...,a_{N-1}.</math> Express your an 1)b)Evaluate the value of <math>(1/N)*\sum_{n=<N>}|x[n]|^2</math> for the signal x[n] given in part (a).
    4 KB (815 words) - 10:57, 21 November 2008
  • Sampling
    [[Category:signal processing]] =Signal Sampling=
    1 KB (176 words) - 07:04, 16 September 2013
  • HKN QE (ECEPhDQE)
    *[[HKNQE_Communications_and_Signal_Processing|Communications and Signal Processing]]
    626 B (74 words) - 09:44, 3 December 2008
  • ECE:CNSIP area
    = Communication, Networking, Image and Signal Processing (CNSIP) Research in ([[ECE]])= Purdue University has a rich and long history in communications and signal processing. For example, did you know the the following facts?
    3 KB (360 words) - 07:01, 25 June 2012
  • CNSIPseminars
    :"A Signal-Processing Approach to Modeling Vision, and Applications" ...these results to image compression and quality assessment, as well as some signal processing problems (and their solutions) that emerged in applying the psyc
    5 KB (656 words) - 14:36, 4 May 2011
  • ECE 301 Fall 2007 mboutin Periodic Signals
    <b>Periodic CT Signal:</b> ...es of t. The fundamental period is the smallest period of all periods of a signal (denoted by <math> T_0\ </math>).
    1 KB (206 words) - 16:58, 23 April 2013
  • ECE 301 Fall 2007 mboutin Properties of Systems
    ...shift in the input signal results in an identical time shift in the output signal.
    4 KB (748 words) - 17:24, 23 April 2013
  • ECE 301 Fall 2007 mboutin Simplified View of Cascaded Systems
    ...ignal would, and writing all the transforms or "things" that happen to the signal using different variables, then we go back and substitute so it all works o
    3 KB (486 words) - 11:10, 8 December 2008
  • ECE 301 Fall 2007 mboutin Definition of Sampling Theorem
    A band-limited signal can be recovered by sampling if the sampling frequency <math> \omega_s </ma
    589 B (78 words) - 13:08, 8 December 2008
  • ECE 301 Fall 2007 mboutin Convolution
    This is an example of convolution done two ways on a fairly simple general signal.
    3 KB (549 words) - 10:37, 30 January 2011
  • ECE 301 Fall 2007 mboutin DT Fourier Series in Matlab
    The command is ifft. It takes in a vector representing your signal and produces a vector of the fourier series coefficients. Two examples are The signal is represented by the graph below and is periodic for all time:
    5 KB (834 words) - 17:26, 23 April 2013
  • ECE 301 Fall 2007 mboutin Convergence of Fourier Transforms
    and let <math> x(t)\ </math> denote the signal obtained by using <math> X(j\omega)\ </math> in the right hand side of Equa
    1 KB (227 words) - 11:54, 10 December 2008
  • ECE 301 Fall 2007 mboutin Sifting Property
    ...an then apply the 'effect' of the system to each individual impulse of the signal, sum them, and find the resulting output.
    2 KB (322 words) - 17:27, 23 April 2013
  • ECE 301 Fall 2007 mboutin Common Questions on FS/FT Answered By Mimi
    ...hey are for periodic signals also. The formula for transforming a periodic signal is (I believe) the first one on the table. :: Fourier Transform is for all signal. It represents signals as an integral of complex exponentials.
    1 KB (186 words) - 17:25, 23 April 2013
  • ECE 301 Fall 2007 mboutin Meaning of Fourier Transform
    ...he Fourier Transform.... In particular, Fourier reasoned that an aperiodic signal can be viewed as a periodic singal with an infinite period." An example of ...nd the sound of the musical chord represented by these notes (the function/signal itself).
    3 KB (431 words) - 17:29, 23 April 2013
  • ECE 301 Fall 2007 mboutin Multidimension Fourier Transform
    ...sion for CT signals, and performing a summation for each dimension in a DT signal.
    2 KB (303 words) - 10:13, 12 December 2008
  • ECE 301 Fall 2007 mboutin Nyquist Example
    ...pled signal that is band limited to about 20kHz, then we should sample the signal at twice that frequency.
    925 B (151 words) - 17:28, 23 April 2013
  • ECE 301 Fall 2007 mboutin Sampling Theorem
    The sampling theorem tells us that we can perfectly reconstruct a signal if the following two conditions are observed: # The signal has a finite bandwidth B. (meaning the signal is band limited)
    3 KB (591 words) - 17:24, 23 April 2013
  • ECE 301 Fall 2007 mboutin Animated Aliasing Example
    ...sampled greater than the Nyquist Rate in order to reconstruct the original signal. The effect of undersampling, or sampling at a rate below that of the Nyqui ...ponds to a frequency of .2 rev/sec. This frequency is the frequency of the signal. The small red dot is just an indicator on a part of the wheel to make it e
    3 KB (446 words) - 06:21, 18 September 2013
  • ECE 301 Fall 2007 mboutin Sampling Theorem Def
    ...ecause it does not specify from what the signal is being recreated. If the signal is for example not band-limited, it cannot be reconstructed at all. ...an the Nyquist rate in rare cases you are able to properly reconstruct the signal.
    4 KB (689 words) - 12:48, 12 December 2008
  • ECE 301 Fall 2007 mboutin Your Sampling Theorem
    Let <math> x(t)\ </math> be a BAND-LIMITED signal with <math> X(\omega) = 0\ </math> for <math> |\omega| > \omega_m\ </math>.
    739 B (108 words) - 12:43, 18 December 2008
  • ECE 301 Fall 2007 mboutin Sound in Matlab
    : <code>Plot(Y)</code> Plots vector Y (useful to visualize an audio signal). Plotting at different frequencies: ...ode>x=y ( 1 : N : length(y) );</code> will create a vector x, which is the signal Y at 1/N of its original frequency. (takes every N element of y and puts in
    725 B (116 words) - 13:10, 18 December 2008
  • Research Group List
    *[[ECE:CNSIP area| Communication, Networking, Signal and Image Processing (CNSIP) area (from ECE)]]
    493 B (74 words) - 11:24, 25 May 2009
  • List of Course Wikis
    :[[2015_Spring_ECE_438_Ersoy|ECE438: "Digital SIgnal Processing", Prof. Ersoy]] :[[2014_Fall_ECE_438_Boutin|ECE438: "Digital SIgnal Processing"]]
    13 KB (1,570 words) - 13:53, 7 August 2018
  • ECE 438 professor Boutin Spring 2009 Course Details
    =ECE 438: Digital Signal Processing with Applications=
    558 B (80 words) - 09:55, 27 February 2009
  • Lecture Schedule (ECE438BoutinSpring09)
    | align="right" style="padding-right: 1em;" | Wednesday || 01/14/09 || Signal types, characteristics, transformations || 1.1.1-1.1.3 || CT and DT signals
    6 KB (689 words) - 07:59, 2 August 2010
  • Main Page ECE301Fall2008mboutin
    *[[lecture1_ECE301Fall2008mboutin|Lecture 1]]: Intro; Example of DT signal (text) and system (enigma machine). *[[Lecture2_ECE301Fall2008mboutin|Lecture 2]]: Example of CT signal (sound); Creating sounds in Matlab; Example of linear system.
    5 KB (720 words) - 06:10, 16 September 2013
  • Main Page ECE301Fall2008chihw
    I am trying to figure out how to compute the norm of the DT signal
    2 KB (396 words) - 16:53, 23 April 2013
  • CNSIP plan of study
    * A typical plan of study for a first semester Signal Processing Grad Student (MS or PhD) is: ECE600, ECE538, MA511 ==If you are a direct PhD student interested in the signal processing area==
    2 KB (308 words) - 13:06, 30 September 2009
  • ECE 438 Spring 2009 mboutin Course Notes
    [[Category:signal processing]]
    865 B (78 words) - 06:37, 16 September 2013
  • CourseNotes1 (BoutinSpring2009)
    [[Category:signal processing]] 2) Digital Signal = a signal that can be represented by a sequence of 0's and 1's.
    3 KB (532 words) - 06:43, 16 September 2013
  • ECE 438 Spring 2009 mboutin Symbols
    *<math>\omega_m</math>: Maximum frequency in a band-limited signal (<math> = max(\{|w|\ :\ w \neq 0\})</math> ...hen the band-limited signal can be uniquely reconstructed from the sampled signal.
    2 KB (406 words) - 11:08, 12 November 2010
  • CourseNotes2 (BoutinSpring2009)
    [[Category:signal processing]] <li>Signal Characteristics</li>
    3 KB (508 words) - 06:43, 16 September 2013
  • CourseNotes3 (BoutinSpring2009)
    [[Category:signal processing]] <p>Comb operator multiplies a signal by an "impulse train".
    2 KB (408 words) - 06:43, 16 September 2013
  • CourseNotes4 (BoutinSpring2009)
    [[Category:signal processing]]
    2 KB (359 words) - 06:43, 16 September 2013
  • Table of Formulas and Properties ECE301Fall2008mboutin
    *[[CT Time-averaged Power of a Signal over an infinite interval_ECE301Fall2008mboutin]] {{:CT Power of a Signal_
    8 KB (989 words) - 07:20, 5 February 2009
  • Tektronix presentation February 2009
    ...is is an advanced capture, process and display technology which enables RF signal analysis never before possible. Featured capabilities, discussed and demons *Automatic RF signal identification
    967 B (123 words) - 12:47, 5 February 2009

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