18-491/691 Digital Signal Processing: Lectures

• Intro to DSP (Powerpoint)  (January 13)
• Convolution examples (January 17)
  
• Introduction to the DTFT (January 22) [from 2019]
• Working with delta functions [from the ADSP class notes] (January 24)
• Intro to the Z-transform Powerpoint (January 29)
• Notes on Z-transform properties and inverses (January 31 and February 2) [from 2019]
• (Optional) notes on solution to difference equations (Not covered in lectures, from 2019)
• (Optional) Inverse Z-transforms via contour integration (from OS2)
• Frequency response from pole/zero locations Powerpoint (February 5)
• Notes on allpass, minimum phase, and linear phase systems (February 10)
• Notes on continuous-time and discrete-time sampling from ADSP (February 10 and 12)
• Notes on the DTFS and the DFT (February 17-19) [from 2019]
• Non-radix-2 FFT structures (from OS75) (March 12)
• The FIR frequency-sampling structure (March 18) [from 2019]
• IIR filter design examples (March 26)
• Chapter on STFTs in the ADSP notes (April 16)
• Chapter on STFTs by Nawab and Quatieri (April 16)

In-class notes from lectures and recitations

• Intro to DSP (Powerpoint)  (January 13)
• Lecture 1: Introduction to 18-491/18-691  (January 17)   
• Lecture 2: Intro to discrete-time signals and systems; convolution (January 15)
• Lecture 4: DT processing in the frequency domain: the DTFT (January 22)
• Lecture 5: DTFT examples and properties (January 27)
• Lecture 6: Introduction to Z-transforms (January 29)
• Lecture 7: Z-transform properties, LSI systems, difference equations and inverses (February 3)
• Lecture 8: ZT inverses II; Frequency response from pole/zero locations (February 5)
• Lecture 9: Frequency response of linear systems, special LSI systems; Sampling continuous-time signals (February 10)
• Lecture 10: D/C conversion and discrete-time decimation and interpolation (February 12)
• Lecture 11: Review of decimation and interpolation; Intro to the DTFS; DTFTs of periodic time functions (February 17)
• Lecture 12: Introduction to the DFT: examples, properties, and  circular convolution (February 19)
• Lecture 13: Linear versus circular convolution: the overlap-add and overlap-save algorithms (February 24)
• Lecture 15: Introduction to the FFT (March 10)    Powerpoint presentation   
• Lecture 16: FFT alternate structures (March 12)   Powerpoint presentation
• Lecture 17: IIR filter structures (March 17)
• Lecture 18: FIR filter structures (March 19)
• Lecture 19: Intro to IIR filter design (March 24)
• Lecture 20: IIR filter design examples (March 26)
• Lecture 21: FIR filter design using windows (March 31)   OSYP Table 7.2
• Lecture 22: FIR filter design using the Parks-McClellan algorithm (April 2)
• Lecture 25: FIR frequency sampling design, general comments on filter design, frequency warping using the bilinear transform (April 14)
• Lecture 26: Introduction to the Short-Time Fourier Transform (STFT) (April 16)   Powerpoint


• Recitation 1: Convolution (January 17)  Notes, Section A; Notes, Section B
• Recitation 2: DTFTs (January 24) ; Notes, Section B
• Recitation 3: Z-transforms (January 31) Notes, Section A; Notes Section B
• Recitation 4 (February 7) Notes, Section A; Notes Section B
• Recitation 5 (February 14) Decimation and interpolation Notes, Section A; Notes Section B
• Recitation review for Quiz 1 (February 23) Notes, Section A; Notes, Section B
• Recitation 6 (February 28) The DFT; Linear versus circular convolution (February 28)    Notes Section A 
• Recitation 7 Intro to the FFT (March 14) Notes, Section A; Notes, Section B
• Recitation 8 IIR and FIR filter structures (March 21)   Notes, Section A; Notes, Section B