DE6 - COURSE: Signal Processing Part one:  Digital Filter Design
UNITS	1 module
TYPE	SE
LECTURER	Zhenyu Yang
TIME	Spring Semester 2011
LOCATION	B206/202

PURPOSES

This is a introductory course for digital filter theory. After this course, you are are expected to be able to know

• What's properties of digital filters
• How to design digital FIR Filters using emulation method
• How to design digital IIR Filters using windowing method
• What's the principles for implementation of digital filters 
• CAD tool: Signal Processing Toolbox in Matlab

TEXTBOOK 

Alan V. Oppenheim, Ronald W. Schafer, and John R. Buck: "Discrete-Time Signal Processing" (Second Edition), Prentice Hall, 1999.

SOFTWARE   

Matlab/Simulink with the Filter design toolbox and Signal Processing Toolbox

SCHEDULES  (a summary)

MM.1       07 Feb. 2011 kl. 8.15 -10:00

Contents:  Introduction to digital filter techniques

(a).	Brief review of discrete-time processes: sequences, systems, linear time-invariance, causality, stability
(b).	Frequency response for LTI and rational systems
(c).	Filter design problem and one example

Reading Material:     Page 16-40, 240-270 of  the textbook 

Lecture slides:         a print-oriented PDF file 

Exercise:                    See the distributed paper (PDF file)     Solutions (PDF file)    
Matlab file IIR.m can be download from here 

MM.2      10 Feb. 2011 kl. 8:15 -10:00

Contents:  Synthesis of Infinite Impulse Response (IIR) discrete-time filters 

(a).	Synthesis of continuous-time filters
(b).	Impulse-invariance method
(c).	Bilinear transformation method

Reading Material:     Page 160-163, 439 - 458, 824-826 of  the textbook 

Lecture slides:             a print-oriented PDF file 

Exercise:                   See the distributed paper  (PDF file)     Solution (part one) Solution (part two)

MM.3    21 Feb. 2011 kl. 8:15 - 10:00

Contents:  Algebraic transformation of LP IIR filters and Linear phase systems

(a).	Algebra transformation of LP filters
(b).	Linear phase systems

Reading Material:     Page 291 - 311 of  the textbook and the given document

Lecture slides:            a print-oriented PDF file 

Exercise:                  See the distributed paper  (PDF file)     Solutions

Matlab file linearpase.m can be download from here 

MM.4     24 Feb. 2011  kl. 8:15 - 10:00

Contents:  Synthesis of Finite-Impulse Response (FIR) discrete-time filters

(a).	FIR synthesis by window methods
(b).	Frequency response (Pole-Zero Diagram)

Reading Material:     Page 465 - 486 and 253 - 279 of  the textbook 

Lecture slides:            a print-oriented PDF file 

Exercise:                    See the distributed paper  (PDF file)     Solutions

Matlab design filtermm4-2.fda using FDATOOL can be download from here  another m-file

MM.5     ??? Mar. 2011 kl. 8:15- 10:00

Contents:  Implementation of digital filters

(a).	Block diagram and signal flow graph
(b).	Structures of IIR and FIR systems
(c).	Round-off noise in digital filters

Reading Material:     Page 340 - 370 and 391 - 402 of  the textbook 

Lecture Note:            a print-oriented PDF file

Exercise:                    See the distributed paper  (PDF file)      Solutions

Part two - Spectral Estimation (SELF_STUDY)

PURPOSES

This is an introductory course for the digital spectrum analysis. After this course, you are expected to be able to know

• Discrete Fourier Transformation (DFT)
• Frequency sampling/multiplication in discrete frequency domain
• Fast Fourier Transformation algorithm (FFT)
• Some Fourier analysis using DFT: Windowing, time-dependent .

• The ESN Danish description about this course can be found here

TEXTBOOK 

Alan V. Oppenheim, Ronald W. Schafer, and John R. Buck: " Discrete-Time Signal Processing" (Second Edition), Prentice Hall, 1999.

SOFTWARE   

Matlab/Simulink with the Filter design toolbox and Signal Processing Toolbox

SCHEDULES  (A summary of this part)

MM.1  

  Contents:  Discrete Fourier Series and Sampling the Fourier Transform

(a).	Introduction
(b).	Discrete Fourier Series and its Properties
(c).	Sampling the Fourier transform

  Reading Material:    Page 541-559 of  the textbook

Lecture slides:           See here

Exercise:                    See the distributed paper Solutions

MM.2   

Contents : Discrete Fourier Transform and its Properties

(a).	Discrete Fourier Transform (DFT)
(b).	DFT's properties
(c).	Linear Convolution using DFT

Reading Material:    Page 559-589 of  the textbook

  Lecture slides:           See here

Exercise:  Exercise:                    See the distributed paper Solutions

MM.3  

  Contents:  Fast Fourier Transform

(a).	Goertzel Algorithm
(b).	Decimation-In-Time FFT Algorithm
(c)	Decimation-In-Frequency FFT Algorithm

  Reading Material:    Page 629 - 652 of  the textbook

  Lecture slides:           See here

Exercise:                    See the distributed paper Solutions

MM.4 

Contents : Spectral Analysis Using DFT (I)

(a).	Spectral analysis of continuous-time signal using DFT
(b).	The effect of windowing
(c).	The effect of frequency sampling

Reading  Material:    Page 693 - 714 and 465 – 477 of  the textbook

  Lecture slides:           See here

Exercise:                    See the distributed paper Solutions

download the Matlab file DFTanalysis.m to see an example

MM.5

Contents : Spectral Analysis Using DFT (II)

(a).	Time-dependent Fourier Transform
(b).	Sampling in Time and Frequency
(c).	Fourier Analysis of Nonstationary Signals

Reading  Material:    Page 714 - 730 of   the textbook

Lecture slides:           See here

Exercise:                    See the distributed paper

download timedDFTstationary.m and timedDFTNONstationary.m to see examples

Some Useful Links:

• Matlab Tutorial pdf with the Filter design toolbox and Signal Processing Toolbox
• Johns Hopkins University: Signals, Systems and Control
  

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This page is maintained by Zhenyu Yang  mailto: yang@cs.aaue.dk

Last modified 20.02.2011