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**Examples of discrete-time convolution (January 22)****Plotting the DTFT (January 24)****Frequency response from pole and zero locations (February 7)****Sampling and reconstruction of continuous-time functions and aliasing (February 12)****Impact of***N*on DFTs of cosines (February 21)**Circular versus linear convolution (February 26)****Overlap-add and overlap-save algorithms (February 26)****Effects of coeffient quantization on filter response (March 20)****Comparison of continuous prototype IIR filters (March 29)****Comparisons of classical FIR windows (April 1)****Comparisons of classical and Kaiser FIR windows (April 10)****Use of the frequency-sampling FIR design procedure (April 10)****Examples of filters designed by Parks-McClellan algorithm (April 8)**

**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)**

**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**

**Recitation 1 Convolution (January 26)****Notes, Section A; Notes, Section B****Recitation 2 DTFTs (January 29) ; Notes, Section B****Recitation 3 Z-transforms (February 9) Notes, Section A; Notes Section B****Recitation 4 (February 16) Notes, Section A; Notes Section B****Recitation review for Quiz 1 (February 23) Notes, Section A; Notes, Section B****Recitation 6 Linear versus circular convolution and Intro to the FFT (March 15) Notes Section A; Notes Section B****Recitation 7 (March 22) Notes, Section A; Notes, Section B****Recitation review for Quiz 2 (March 29)****Recitation 8 (April 5)****Notes, Section A; Notes, Section B****Recitation 9 (April 19) [from 2023] Notes, Section A; Notes, Section B**