Linear Systems

by Dr. Kenneth K.M. Lam
Department of Electronic and Information Engineering
The Hong Kong Polytechnic University

Suject Code: EIE 312

Objective:
  1. to provide students with basic concepts and techniques for the modelling and analysis of linear continuous-time and discrete-time signals and systems; and
  2. to provide students with an analytical foundation for further studies in Communication Engineering and Digital Signal Processing

 

 

 

 

Syllabus:

Classification of Signals: continuous and discrete-time signals, signals of special importance. Impulse response and convolution, linear time-invariant systems. Fourier series and transform, spectral density functions, sampling and digitalization of signals. Transfer functions, pole-zero plots, natural response, transients and stability. Laplace transform and system responses, poles and zeros. Synthesis of analogue filters, bode plots. Digital networks and z transform, z-plane characterization, mapping between s-plane and z-plane.

Please click here to download the syllabus.
 
Notes:
  1. Revision on Some Useful Mathematics
  2. Signals
  3. System Properties
  4. Convolution
  5. Fourier Series and Transform (Fourier Tables)
  6. Frquency Domain Analysis
  7. Sampling
  8. Discrete-Time Fourier Series and Discrete-Time Fourier Transform
    (Tables: DTFT and DFT)
  9. Laplace Transform (Tables)
  10. Transfer Function Representation and System Analysis
  11. z-Transform (Tables)
  12. Analog Causal Filter Design

All the files have been moved to WebCT
 
Animations:

Convolution1; Convolution2; Correlation; Fourier Series and Gibbs Phenomenon; Fourier Analysis
 
Tutorials:

Tutorial 1: Signals
Tutorial 2: System Properties
Tutorial 3: Convolution (PowerPoint for Q4(b))
Tutorial 4: Fourier Series
Tutorial 5: Fourier Transform
Tutorial 6: Fourier Analysis of Continuous-time Systems
Tutorial 7: Sampling and Reconstruction
Tutorial 8: Fourier Analysis of Discrete-time Systems
Tutorial 9: Laplace Transform
Tutorial 10: System Analysis Using Transfer Function (semi-log graph paper)
Tutorial 11: z-Transform
Tutorial 12: Causal Filter Design

 
Assignment:

Assignment 1: Signals and System Properties (To be submitted by 1 February 2007)
Assignment 2: Convolution and Fourier Series (To be submitted by 8 March 2007)
 
Laboratory:
  1. LS001: Fundamental of Signals
  2. LS102: Linear Time-Invariant Systems (To be submitted by 13 March 2007)
  3. LS103: Representation of Periodic Signals using Fourier Series (To be submitted by 27 March 2007)
  4. LS104: Fourier Analysis of Continuous-time Signals and Systems (To be submitted by 10 April 2007)
  5. LS105: Sampling of Continuous-time Signals and Reconstruction (ctfts.m) (To be submitted by 24 April 2007)
  6. LS106: Fourier Analysis of Discrete-time Signals and Systems

You are required to submit a report on each of the laboratory exercises except LS001. In each report, you need to list the MATLAB codes and display the results, write down any analysis, and give a brief discussion. At the end of your report, you should also provide a conclusion. Note that you needn't copy the procedures from the lab sheet.

To run the LabVIEW programs, you must install the LabVIEW 8.2 Runtime Engine at your computer. You may download this Runtime Engine by clicking here.
 
Announcement:

Tutors:
Wing-Pong Choi, Hei-Sheung Koo, Chensheng Sun, and Thomas Tse

Quiz 1: Date: 1 February 2007 (Thursday), 2:30pm - 3:00pm
Additional Tutorial: 5 March 2007, 5:30pm-6:30pm, Monday, Room CD634. If you want to take the sepplementary quiz, you must attend this tutorial.

Test 1: 8 March 2007 (Thursday), 2:30pm - 3:30pm
Additional Consultation Hours:
3 March (Saturday), 11:30am-1:00pm, Room CD634
7 March (Wednesday), 4:30pm-6:00pm, Room CD634

Supplementary Test 1:
Date: 29 March 2007 (Thursday)
Time: 6:00pm - 7:00pm
Venue: CD634

Quiz 2: 12 April 2007 (Thursday)
Additional tutorial for Quiz 2: 11 April 2007 (Wednesday), 5:30pm - 6:30pm, CD634
Supplementary Quiz 2: 24 April 2007, 1:30pm - 2:25pm, CD634

Lecture: 10 April 2007 (Tuesday)
Time: 1:30pm - 3:30pm
Venue: FJ301

Lecture: 17 April 2007 (Tuesday)
Time: 1:30pm - 2:30pm (Sampling)
Time: 2:30pm - 3:30pm (Transfer Function Representation)
Venue: HJ302

Lecture: 24 April 2007 (Tuesday)
Time: 2:30pm - 4:30pm
Venue: EF311

Test 2: 30 April (Monday)
Additional Consultation Hours: 27 April 2007 (Friday), 2:30pm - 5:30pm, CD634

Additional Consultation Hours:
Date: 17/18 May 2007 (Thursday/Friday)
Time: 3:00pm - 5:00pm
Place: CD634

Lecture on "Analog Causal Filter Design"
Date: 21 May 2007 (Monday)
Time: 2:30pm - 5:30pm (2 hour-lecture followed by a quiz: 3 marks of the overall result)
Venue: TU107
 
Consultation Time:

Every Tuesday and Thursday: 4:30pm-6:00pm

 
Teaching schedule: Please click here to obtain the teaching schedule.