Lecture

EE524 Lecture Topics by Week

Week 1 (8/21)

	Introduction
	Review linear systems and transform background
	Homework 1 assigned
	Definition of DTFTs, link between DFTs and Z transforms, properties
	Definition of DFTs, basic properties such as symmetry, proofs of identity and periodicity
	Week 1 Notes in pdf format
	Detailed proof of problem 3.16

Week 2 (8/28)

Definition of DFTs,

Frequency response in DTFTs, Relationship between system response and frequency response

Pole-Zero filter design methods

	resonators
	notch filters
	comb filters
	Moving average filters
	reverberators

Week 2 Notes in pdf format

Homework 2 assigned

Week 3 (9/4)

Monday is a holiday for Labor Day

Ideal filters, pole/zero location

Phase filters-

	Minimum Phase
	Linear phase
	All-pass

Notes for week 3 in pdf form

Week 4 (9/11)

	Homework 2 due this week (9/15)
	DFT properties such as circular shift, symmetry, circular convolution
	Resolution of time-windowed signals, signal length, window-type (handout from Orfanidis DSP book)
	How to calculate the linear convolution using the circular convolution Two finite sequences and finite and infinite sequences (Overlap and save method, overlap and add method)
	Notes for week 4 in pdf form

Week 5 (9/18)

	Overlap and save, Overlap and add method for computing linear convolutions (3.4)
	Fast Fourier Transform Algorithm (8.3)
	Windowing in the time domain
	Notes for week 5 in pdf form

Week 6 (9/25)

	Time-varying signals and the short-time Fourier Transform(Mitra 11.2,11.3)
	Spectrograms
	Week 6 Notes

Week 7 (10/2)

	First Midterm on Monday Oct 2
	FIR Filter design Window Method
	Week 7 Notes

Week 8 (10/9)

Midterm Solutions

FIR filter design

	Windows
	Frequency sampling method

Week 8 Notes

Week 9 (10/16)

FIR filter design,

	Parks McClellan equiripple FIR filters
	Least squares methods

	Structure of FIR filters (section 7.2)
	FIR Filter design notes
	Week 9 Notes

Week 10 (10/23)

Lattice FIR filter structure

Classical IIR filter design (8.2)

	Analog prototypes
	Bilinear transform and impulse invariance
	Conversions between lowpass and other filter types

Least squares methods of IIR filter design

Review of filter design (IIR handout)

Week 10 Notes

Week 11 (10/30)

Multirate signal processing

	Decimation
	Interpolation

Source:

	Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial, Vaidyanathan, P.P., Proceedings of the IEEE , Volume: 78 Issue: 1 , Jan. 1990, Page(s): 56 -93
	Textbook Chapter 10

Week 11 Notes

Week 12 (11/6)

	Quadrature mirror filters


	Week 12 Notes

Week 13 (11/13)

	Lecture based on G. O. Glentis, K. Berberides, and S. Theodoridis, "Efficient Least Squares Adaptive Algorithms for FIR Transversal Filtering," IEEE SIgnal Processing Magazine, pp 13-41, July, 1999. (introduction)
	Convergence of the LMS method
	Speeding up convergence
	Applications of adaptive filters
	Week 13 Notes
	Next week is Thanksgiving vacation.

Week 14 (11/20)

Normalized LMS method

Recursive Least Squares

	Derivation of method
	Convergence

Comparison between LMS and RLS in terms of convergence speed, number of operations, and performance at the noise floor

Week 15 (12/4)

Applications of adaptive filter

	Adaptive Line Enhancement and Tone Suppression
	Adaptive equalizers
	Echo Cancellation

Last updated 25 Oct 2000