LIR 3011 Signals & Systems 

COURSE DESCRIPTION

This course covers both continuous-time and discrete-time signals and systems. Topics studied are signal concept, classification of signals, system concept, system representations, continuous time, discrete time, input and output relationship, differential equations, difference equations, properties of systems, linearity property, time-invariant property, convolution, stability, transfer function of a system, frequency response of a system, frequency domain concepts, spectral content of a signal, amplitude and phase spectra, Laplace transform, Fourier transform and Z transform. This course provides the basis to undertake other subjects such as Signal Processing, Control Theory and Communication Systems. This class requires knowledge about real functions, complex variables, matrix theory. 

CONTENTS

1.    Signal and System Analysis in the Time Domain

1.1 Continuous-Time and Discrete-Time Representations of Signals and Systems

1.2 Classification of Systems

1.3 Properties of Systems

1.4 Linearity

1.5 Time-Invariance

1.6 Stability 

1.7 Linear and Time-Invariant Systems

1.8 Impulse Response and Convolution

1.9 Input-Output Relation: Differential and Difference Equations

2.   Transforms and the Transfer Function

2.1 Definition of the Laplace Transform

2.2 Definition of the Z Transform

2.3 Properties of the Laplace Transform and Z Transform

2.4 Partial Fraction Expansion and Inverse Transforms

2.5 The Transfer Function

2.6 Poles and Zeros

2.7 Analysis of Continuous-Time Systems in the Complex-Frequency Domain

2.8  Analysis of Discrete-Time Systems in the Complex-Frequency Domain

2.9 Stability

2.10 Relationship between Poles and Stability of a System

2.11 Transfer functions and state space representations

3.   Signals and Systems in the Frequency Domain

3.1 Fourier Series for Continuous-Time Periodic Signals

3.2 Fourier Series for Discrete-Time Periodic Signals

3.3 Fourier Transform for Continuous-Time Non-periodic Signals

3.4 Fourier Transform for Discrete-Time Non-periodic Signals

3.5 Discrete Fourier Transform (DFT) for Discrete-Time Non-periodic Signals 

3.2 Spectral Content of a Signal

3.3 Amplitude and Phase Spectra

3.4 Energy and Power Signals

3.5 Frequency Response

3.6 Continuous-Time Frequency and Discrete-Time Frequency

3.7 Relation between the Laplace Transform and the Fourier Transform

3.8 Relation between the Z Transform and the Fourier Transform

Term:  Fall 2019.

Time and Location: 17:00 – 17:50 on Monday, Wednesday & Friday at Classroom IA 211.

Grading: There will be four written exams and projects. Projects require programming. Exam 1 (23 %), Exam 2 (23 %), Exam 3 (23 %), Exam 4 (23 %), Homework Assignments (8 %).

Bibliography: SIGNALS AND SYSTEMS by Douglas K. Lindner; McGraw-Hill .

Continuous-time & discrete-time systems in the frequency domain

Continuous-time & discrete-time signals in the frequency domain

Discrete-time signals & systems in the transform domain

Continuous-time signals & systems in the transform domain

Continuous-time & discrete-time systems in the time domain

Continuous-time & discrete-time signals in the time domain