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'''The [http://mireilleboutin.com Boutin] Lectures on Digital Signal Processing-Part 1'''
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'''The [http://mireilleboutin.com Boutin] Lectures on Digital Signal Processing - Part 1'''
 
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==Topic 1: Fourier transform as a function of frequency <span class="texhtml">ω</span> versus Fourier transform as a function of frequency <span class="texhtml">''f''</span> (in hertz). ==
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==Topic 1: Fourier transform as a function of frequency <span class="texhtml">"ω"</span> versus Fourier transform as a function of frequency <span class="texhtml">''f''</span> (in hertz). ==
**[[Slecture Fourier transform w f ECE438|Text slecture]] by Dauren   
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*[[Slecture Fourier transform w f ECE438|Text slecture]] by Dauren   
**[[Fourier Transform as a FUnction of Frequency w versus Frequency f (in Hertz)|Text slecture]] by Randall Cochran  
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*[[Fourier Transform as a FUnction of Frequency w versus Frequency f (in Hertz)|Text slecture]] by Randall Cochran  
*'''Topic 2''': Definition of the "rep" and "comb" operators. (Note that 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. You should include both representations and explain how to go from one to the other.) DEADLINE September 19
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**[[Slecture rep comb ECE438 Xiaozhe|Text slecture]] by Xiaozhe Fan   
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==Topic 2: Definition of the "rep" and "comb" operators. ==
*'''Topic 3''': Fourier transform of "rep" and "comb". (Make sure to carefully explain how to compute the Fourier 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.) DEADLINE October 1
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*[[Slecture rep comb ECE438 Xiaozhe|Text slecture]] by Xiaozhe Fan   
**[[[[capano_project_slecture_extended_fourier_transform_rep_comb_ECE438F14||Video slecture]] by Ben Capano
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**[[Fourier Transform rep com Youqin Liu ECE438 slecture|slecture]] by Youqin Liu 
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==Topic 3: Fourier transform of "rep" and "comb". ==
**[[Ftrepcomb mattmiller|Text Slecture]] by Matt Miller   
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*[[capano_project_slecture_extended_fourier_transform_rep_comb_ECE438F14|Video slecture]] by Ben Capano
*'''Topic 4''': Discrete-time Fourier transform (DTFT): definition, periodicity property, example (computation of DTFT of a complex exponential- no fudging!) DEADLINE October 1
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*[[Ftrepcomb mattmiller|Text slecture]] by Matt Miller   
**[[Discrete-time Fourier transform (DTFT) Slecture by Jacob Holtman|Text Slecture]] by Jacob Holtman  
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**[[Discrete-time Fourier transform Slecture by Fabian Faes|Text Slecture]] by Fabian Faes   
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==Topic 4: Discrete-time Fourier transform (DTFT)==
**[[Discrete-time Fourier transform Xian Zhang ECE438 slecture|Text slecture]] by Xian Zhang   
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*[[Discrete-time Fourier transform (DTFT) Slecture by Jacob Holtman|Text slecture]] by Jacob Holtman  
*'''Topic 5''': Discrete-time Fourier transform (DTFT) of a sampled cosine. (Include Case 1) sampling rate above Nyquist rate, and Case 2) sampling rate below Nyquist rate.) DEADLINE October 3
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*[[Discrete-time Fourier transform Slecture by Fabian Faes|Text slecture]] by Fabian Faes   
**[[DTFTCosinePawling|Text Slecture]] by Andrew Pawling   
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*[[Discrete-time Fourier transform Xian Zhang ECE438 slecture|Text slecture]] by Xian Zhang   
**[[Dtft sampling slecture srh|Text Slecture]] by Sutton Hathorn  
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**[[Text Slecture|Text Slecture]] by Sahil Sanghani  
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==Topic 5: Discrete-time Fourier transform (DTFT) of a sampled cosine==
**[[DTFT of a sampled cosine Yijun ECE438 slecture|Text slecture]] by Yijun Han  
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*[[DTFTCosinePawling|Text slecture]] by Andrew Pawling   
*'''Topic 6''': Nyquist Theorem, with proof and example DEADLINE October 6
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*[[Dtft sampling slecture srh|Text slecture]] by Sutton Hathorn  
**[[Nyquist Michael Hayashi ECE438 slecture|Text slecture]] by Michael Hayashi  
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*[[Text Slecture|Text slecture]] by Sahil Sanghani  
**[[Nyquist Miguel Castellanos ECE438 slecture|Text slecture]] by Miguel Castellanos  
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*[[DTFT of a sampled cosine Yijun ECE438 slecture|Text slecture]] by Yijun Han  
**[[Slecture Nyquist Theorem Stein|Text Slecture]] by Robert Stein  
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**[[NyquistRozolis|Text Slecture]] by Erik Rozolis  
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==Topic 6: Nyquist Theorem==
*'''Topic 7''': Frequency domain view of the relationship between a signal and a sampling of that signal. DEADLINE October 6
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*[[Nyquist Michael Hayashi ECE438 slecture|Text slecture]] by Michael Hayashi  
**[[Slecture Relation in frequency Botao Chen|Text Slecture]] by Botao Chen   
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*[[Nyquist Miguel Castellanos ECE438 slecture|Text slecture]] by Miguel Castellanos  
**[[Slecture Topic 7 Ryan|Text Slecture]] by Ryan Johnson   
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*[[Slecture Nyquist Theorem Stein|Text slecture]] by Robert Stein  
**[[Slecture Topic 7|Text Slecture]] by Evan Stockrahm  
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*[[NyquistRozolis|Text slecture]] by Erik Rozolis  
**[[Slecture Topic 7 ECE438|Text Slecture]] by Talha Takleh Omar Takleh   
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*'''Topic 8''': Frequency domain view of downsampling (explain why decimator needs a lowpass filter before the downsampling). DEADLINE October 10
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==Topic 7''': Frequency domain view of the relationship between a signal and a sampling of that signal. ==
**[[Frequency Downsampling]] by John Sterrett   
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*[[Slecture Relation in frequency Botao Chen|Text slecture]] by Botao Chen   
**[[Text slecture]] by Yerkebulan  
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*[[Slecture Topic 7 Ryan|Text slecture]] by Ryan Johnson   
**[[Frequency-Domain-View-of-Downsampling-Slecture-David-Klouda|Text Slecture]] by David Klouda  
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*[[Slecture Topic 7|Text slecture]] by Evan Stockrahm  
**[[Text Slecture1]] by Soonho Kwon   
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*[[Slecture Topic 7 ECE438|Text slecture]] by Talha Takleh Omar Takleh   
*'''Topic 9''': Frequency domain view of upsampling (explain why interpolator needs a lowpass filter after upsampling). DEADLINE October 13
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**[[SlectureUpsampling]] by Chloe Kauffman   
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==Topic 8: Frequency domain view of downsampling ==
**[[Upsampling|Text Slecture]] by Mike Deufel  
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*[[Frequency Downsampling|Text slecture]] by John Sterrett   
**[[Upsampling Slecture Molveraz|Text slecture]] by Michel Olvera  
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*[[Text slecture]] by Yerkebulan  
**[[Text slectrue]] by Hyungsuk Kim
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*[[Frequency-Domain-View-of-Downsampling-Slecture-David-Klouda|Text slecture]] by David Klouda  
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*[[Text Slecture1|Text slecture]] by Soonho Kwon   
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==Topic 9: Frequency domain view of upsampling ==
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*[[SlectureUpsampling|Text slecture]] by Chloe Kauffman   
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*[[Upsampling|Text slecture]] by Mike Deufel  
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*[[Upsampling Slecture Molveraz|Text slecture]] by Michel Olvera  
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*[[Text slectrue|Text slecture]] by Hyungsuk Kim
  
 
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[[ECE438|Back to ECE438]]
 
[[ECE438|Back to ECE438]]

Latest revision as of 15:48, 24 March 2015


The Boutin Lectures on Digital Signal Processing - Part 1

Slectures by Students in the Fall 2014 Class of ECE438


Topic 1: Fourier transform as a function of frequency "ω" versus Fourier transform as a function of frequency f (in hertz).


Topic 2: Definition of the "rep" and "comb" operators.


Topic 3: Fourier transform of "rep" and "comb".


Topic 4: Discrete-time Fourier transform (DTFT)


Topic 5: Discrete-time Fourier transform (DTFT) of a sampled cosine


Topic 6: Nyquist Theorem


Topic 7: Frequency domain view of the relationship between a signal and a sampling of that signal.


Topic 8: Frequency domain view of downsampling


Topic 9: Frequency domain view of upsampling



Back to ECE438

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