UNIVERSITY OF HONG KONG
DEPARTMENT OF ELECTRICAL & ELECTRONIC ENGINEERING
I.
Objective
The purpose of this lab is to get an insight of MATLAB and get familiarized
with the program. The previous exercises provide good practice on the basic functions
of MAT

MEDE2500: Biomedical Signals and Linear Systems
Topic 1: Introduction to Signals & Systems
Signals are elements of sensing,
communication, control, and actuation
processes. They convey data,
messages, and information from the
source to the receiver and c

12.1
12.2
12.3
12.4
12.5
12.6
12.7
12.8
12.9
Linear
Time-Invariant
Discrete-Time
Systems
Contents
Introduction and Summary 733
Linear Time-Invariant (LTI) Discrete-Time Systems 734
The UnitSample Response 737
Response of LTI Discrete-Time Systems to P

LTI Difference Equations
MEDE2500: Biomedical Signals and Linear Systems
An N-th order linear difference equation with
constant coefficient is written as
Topic 8: LTI Difference Equations and
Frequency Response of FIR Filters
Prof Paul Y S Cheung
Departme

Concept of 3-Domains
MEDE2500: Biomedical Signals and Linear Systems
Shannon's Theory
Topic 9: z-transform, Poles & Zeros
Move to a new domain where
OPERATIONS are EASIER & FAMILIAR
Use POLYNOMIALS
TRANSFORM both ways
x[n] -> X(z) (into the z domain)

MEDE2500: Biomedical Signals and Linear Systems
FREQUENCY DIAGRAM
Topic 5: Spectrum, Periodic Signals &
Fourier Series
Plot Complex Amplitude vs. Freq
Prof Paul Y S Cheung
Department of Electrical & Electronic Engineering
Room CYC 601C
Email: paul.cheung

MEDE2500: Biomedical Signals and Linear Systems
Discrete Sequences & Notation
Topic 3: Discrete-time Signal & LTI Systems
Continuous-time signal
This&is&angular&measured&in&radians&
Dont&connect&the&dots!&
Prof Paul Y S Cheung
Department of Electrical &

The TMS32010, 1983
MEDE2205: Biomedical Signals and Linear Systems
Topic 7: FIR Filters and Convolution
Prof Paul Y S Cheung
Department of Electrical & Electronic Engineering
Room CYC 601C
Email: paul.cheung@hku.hk
Phone: 2859-2700
(Reference: Nahvi Chap

From Continuous Time to
Discrete
MEDE2500: Biomedical Signals and Linear Systems
Topic 6: Sampling & Reconstruction
Prof Paul Y S Cheung
Department of Electrical & Electronic Engineering
Room CYC 601C
Email: paul.cheung@hku.hk
Phone: 2859-2700
(Referenc

Representation of a Real Number
MEDE2500: Biomedical Signals and Linear Systems
Topic 2: Complex Numbers & Maths Tools
Mathematics are tools for representing
physical systems precisely
Diagrams are often useful for visualization of
mathematical concepts

Superposition of Responses
MEDE2500: Biomedical Signals and Linear Systems
Topic 4: Superposition and Convolution
Example 4.1 An input-output pair to an LTI system
is shown below.
Prof Paul Y S Cheung
Department of Electrical & Electronic Engineering
Room