18-491/691 Digital Signal Processing: Lectures

• Intro to DSP (Powerpoint)  (January 17)
• Convolution examples (January 19)
  
• Introduction to the DTFT (January 24) [from 2019]
• Working with delta functions [from the ADSP class notes] (January 26)
• Intro to the Z-transform Powerpoint (January 29)
• Notes on Z-transform properties and inverses (January 26 and February 5) [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 7)
• Notes on allpass, minimum phase, and linear phase systems (February 9)
• Notes on continuous-time and discrete-time sampling from ADSP (February 12 and 14)
• Notes on the DTFS and the DFT (February 12-21) [from 2019]
• Non-radix-2 FFT structures (from OS75) (March 13)
• The FIR frequency-sampling structure (March 20) [from 2019]
• IIR filter design examples (March 27)
• Intro to 18-792 ADSP (April 1)
• The FIR frequency-sampling structure (March 27) [from 2019]
• Chapter on STFTs in the ADSP notes (April 15)
• Chapter on STFTs by Nawab and Quatieri (April 15)
• Chapter on 2-D DSP by Lim (April 17)

In-class notes from lectures and recitations

• Lecture 1: Introduction to 18-491/18-691  (January 17)    Zoom link
• Lecture 2: Intro to discrete-time signals and systems; convolution (January 19)
• Lecture 3: DT processing in the frequency domain: the DTFT (January 22)
• Lecture 4: DTFT examples and properties (January 24)
• Lecture 5: Introduction to Z-transforms (January 29)
• Lecture 6: Z-transform properties and inverses; intro to difference equations (January 31)
• Lecture 7: ZT inverses using partial fraction expansion(February 5)
• Lecture 8: ZT inverses II; Frequency response from pole/zero locations (February 7)
• Lecture 9 Sampling continuous-time signals (February 12)
• Lecture 10: Discrete-time decimation and interpolation (February 14)
• Lecture 11: Intro to the DTFS; DTFTs of periodic time functions (February 22)
• Lecture 12: Introduction to the DFT: examples, properties, and  circular convolution (February 21)
• Lecture 13: Linear versus circular convolution: the overlap-add and overlap-save algorithms (February 26)
• Lecture 15: Introduction to the FFT (March 11)    Powerpoint presentation   
• Lecture 16: FFT alternate structures (March 13)   Powerpoint presentation
• Lecture 17: IIR filter structures (March 18)
• Lecture 18: FIR filter structures (March 20)
• Lecture 19: Intro to IIR filter design (March 25)
• Lecture 20: IIR filter design examples (March 27)
• Lecture 21: FIR filter design using windows (April 1)   OSYP Table 7.2
• Lecture 23: FIR filter design using the Parks-McClellan algorithm (April 8)
• Lecture 24: Kaiser windows, FIR frequency sampling design, general comments on filter design (April 10)
• Lecture 25: Introduction to the Short-Time Fourier Transform (STFT) [from 2023] (April 15)   Powerpoint
• Lecture 26: Intro to 2-dimensional DSP (April 17)    Powerpoint