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18-491/691 Digital Signal Processing: Lectures

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This page will provide MATLAB files scripts and lecture-specific handouts.

MATLAB files used in the lectures

Lecture notes (some from previous years)

Working with delta functions [from the ADSP class notes] (September 5)

Double-sideband suppressed-carrier (DSB/SC) modulation (September 5)

Intro to the Z-transform Powerpoint (September 10)

Notes on Z-transform properties and inverses (September 10 and September 12) [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 (September 17)

Notes on allpass, minimum phase, and linear phase systems (September 19)

Notes on partial fraction expansion with multiple poles at a single location (September 19)

Notes on continuous-time and discrete-time sampling from ADSP (September 22 and 24)

Notes on the DTFS and the DFT (September 29 and October 1) [from 2019]

Non-radix-2 FFT structures (from OS75) (October 22)

The FIR frequency-sampling structure (October 29) [from 2019]

In-class notes from lectures and recitations

Lecture 1: Introduction to 18-491/18-691 (August 25)

Lecture 2: Intro to discrete-time signals and systems; convolution (August 29

Lecture 4: DT processing in the frequency domain: the DTFT (September 3)

Lecture 5: DTFT examples and properties (September 5)

Lecture 6: Introduction to Z-transforms (September 12)

Lecture 7: Z-transform properties, LSI systems, difference equations and inverses (September 15)

Lecture 8: ZT inverses II; Frequency response from pole/zero locations (September 17)

Lecture 9: Frequency response of linear systems, special LSI systems; Sampling continuous-time signals (September 22)

Lecture 10: D/C conversion and discrete-time decimation and interpolation (September 24)

Lecture 11: Review of decimation and interpolation; Intro to the DTFS; DTFTs of periodic time functions (September 29)

Lecture 12: Introduction to the DFT: examples, properties, and circular convolution (October 1)

Lecture 13: Linear versus circular convolution: the overlap-add and overlap-save algorithms (October 6)

Lecture 15: Introduction to the FFT (October 20)    Powerpoint presentation

Lecture 16: FFT alternate structures (October 22)   Powerpoint presentation

Lecture 17: IIR filter structures (October 27)

Lecture 18: FIR filter structures (October 29)

Recitation 1: Convolution (August 29) Notes, Section A; Notes, Section B

Recitation 2: DTFTs (September 5) ; Notes, Section A; Notes, Section B

Recitation 3: Z-transforms (September 12) Notes, Section A; Notes Section B

Recitation 4 (September 19) Notes, Section A; Notes Section B

Recitation 5 (September 26) Decimation and interpolation Notes, Section A; Notes Section B

Recitation 6 (October 16) The DFT; Linear versus circular convolution     Notes (remote lecture)

Recitation 7 Intro to the FFT (October 24) Notes, Section A; Notes, Section B

Recitation 8 IIR and FIR filter structures (October 31) Notes, Section B

Review for Quiz 1 (October 3) Notes, Section A; Notes Section B