EE 40471: Digital Signal Processing

Tentative Schedule
Date
 Major topic
 Keywords
Section textbook
 Quiz
 Homework/Projects
 Handouts
Jan. 17 (W)
 1. Introduction
  • Motivation, advantages digital over analog
 1-2.0


Jan. 19 (F)
 2. Discrete time signals and systems
  • Basic sequences (exponential, sinusodial, unit sample, unit step) and their properties
  • Systems: memoryless, linear, time invariant, causal, stable, dynamic, LTI
  • Discrete linear convolution
 2.1-2.4


Jan. 25 (Th)
Homework 1
 Handout1
Jan. 25 (Th)
 3. Sampling of continuous-time signals
  • Ideal (periodic) sampling, frequency domain representation of sampling, nonideal sampling, aliasing
  • Nyquist (sampling) theorem
  • Reconstruction, sinc-interpolation
  • Discrete-time processing of continuous-time signals
  • Antialiasing filtering, A/D conversion, sample&hold
  • Quantization, quantization errors, coding
  • D/A conversion, sample&hold
 4.0-4.4, 4.8
 Quiz1,
Quiz2
Handout2,
Handout3
Jan. 26 (F)
 Quiz3

 Assignment/
Homework 2

 Handout4,
Demo 1
Feb. 8 (Th)
Quiz4
 Homework 3

 Demo 2
Feb. 8 (Th) 4. Z-Transform (summary)
  • Extension of DTFT to complex plane
  • Definition, region of convergence (ROC)
  • Right-sided, left-sided, two-sided z-transform
  • Transfer function
  • Inverse z-transform: definition, residue theorem, partial fraction expansion
  • Properties: linearity, time shift, multiplication by an exponential sequence, differentation, conjugation of a complex sequence, convolution
 3.0-3.5 Quiz11

Feb. 9 (F) Quiz12,
Quiz13

Feb. 12 (M)
 5. Discrete Fourier Transform (DFT)
  • Repetition Discrete Time Fourier Transform (DTFT), symmetry properties
  • Fourier transform of periodic signals
  • Definition DFT, inverse DFT
  • Properties: shift, linear/circular convolution with DFT
  • Use of the DFT in linear filtering, overlap-add, overlap-save
  • Spectral analysis of sinusoidal signals, leakage effect, windows (Hamming, Hanning, Blackman, Kaiser), mainlobe width, sidelobe level
  • Fast Fourier Transform (FFT), decimation in time (DIT)
  • Discrete Cosine Transform (DCT)

 


2.7-2.8, 8.3-8.7, 9.3, 10.0-10.3


Feb. 14 (W)


Feb. 16 (F)
 Quiz5 Homework 4 Handout5,
Handout6
Feb. 19 (M)
 Quiz6

Feb. 21 (W)


Feb. 23 (F)
 Quiz7,
Quiz8 		Homework 5 Handout7
Feb. 26 (M)
 Quiz9,
Quiz10
Handout8
Feb. 28 (W) 6. Transform-domain analysis of LTI systems
  • Impulse response, frequency response, transfer functions
  • LTI systems with rational transfer functions: difference equations, stability and causality, inverse systems
  • Frequency response versus pole-zero plot
  • Classification of LTI systems: real-valued transfer functions, allpass systems, minimum phase systems, systems with generalized linear-phase, FIR/IIR systems
  • Linear-phase filters (type I-IV)
 5.0-5.8 Quiz14
 Project 1, Guidelines
Mar. 2 (F)
 Quiz15
 Homework 6
Mar. 5
(M)


Mar. 7 (W)


Mar.9 (F)
 midterm exam




Mar. 19 (M) 6. Transform-domain analysis of LTI systems
5.0-5.8
Quiz16 Homework 7 Handout9,
Handout10
Mar. 21 (W)
 7. Filter structures
  • Direct-form, lattice, and cascade structures for FIR filters
  • Direct-form, lattice, and parallel structures for IIR filters
 6.0-6.5 Quiz17
Handout11
Mar. 23 (F)
 Quiz18

Mar. 26 (M)
 8. IIR filter design
  • Characteristics of commonly used analog filters: Butterworth, Chebyshev, Elliptic
  • Impulse invariant design
  • Bilinear design

 7.0-7.1,
Appendix B


 Quiz19
 Project2 (description, material)
Mar. 28 (W)
 Quiz20

Mar. 30 (F)
 Quiz21

Apr. 2 (M)
Homework 8
 Handout12
Apr. 4 (W)


Apr. 11 (W)
 9. FIR filter design
  • Window design
  • Frequency sampling design
  • Chebyshev approximation
 7.2-7.5
Homework 9
Apr. 13 (F)
 Quiz22
Handout13,
Handout14
Apr. 16 (M)
 Quiz23
Handout15
Apr. 18 (W)
 Quiz24

Apr. 20 (F)
Homework 10 Handout16,
Handout17
Apr. 23 (M)
 10. Discrete Hilbert Transforms
  • Relationships between magnitude and phase
  • Design of Hilbert transformers

 11.0-11.5



Apr. 25 (W)


Apr. 27 (F)


Apr. 30 (M) 11. Finite wordlength effects
  • Coefficient quantization
  • Round-off effects
  • Limit cycles
 6.6-6.8

Handout18
May 2 (W)







Online Resources


Online demos (DSP, Signals and Systems):
Online lectures and classnotes:


1. Introduction   To schedule

  

2. Discrete time signals and systems To schedule


3. Sampling of continuous-time signals, reconstruction To schedule


4. Discrete Fourier Transform To schedule


5. Z-Transform (repetition) To schedule


6. Transform domain anaysis of LTI systems To schedule


8. IIR filter design To schedule


9. FIR filter design To schedule


10. Finite wordlength effects To schedule



J. Kliewer, 1/16/07