Course No： 111C0062
Title： Signals and systems
Class Hours/Week: 3hours/week Credit： 3
Category：Elective course
Prerequisites：Electrical circuit theory B; Ordinary differential eguation；
Audience：Undergraduates
Teaching manner：Multimedia
Course objectives and basic requirements:
The course of “signals and systems” is fundamental to the study of many fields that constitute the ever-expanding discipline of electrical engineering. The aim of this course is to teach the students the basic concepts, principles and methods of analyzing continuous-time and discrete-time signals and systems, and also to introduce the students to some of the important uses of this basic methods.
The students should have studied the courses : Theory of circuit; Ordinary differential eguation；
Course introduction:
Signals and Systems serves as the core coursework in the study of communications, signal processing, and control. Given the pervasive nature of computing, concepts from signals and systems, such as sampling, are an important component of almost every electrical engineering field. This course focuses on the analysis of deterministic signals and an important class of system known as Linear time-invariant systems, and more detailed treatment of signal processing, communications and control system. And also discussed on the signals transform from time-domain to frequency domain , such as Fourier Transform, Laplace Transform, and Z-transform in continuous-time and discrete-time.
Syllabus and lecture schedule:
This course covers four parts. One is the analysis of continuous-time signals, which includes basic signals, continuous-time Fourier Transform, and its properties, the analysis of periodic signal and aperiodic signals. Second is Laplace Transform, which includes Laplace Transform and Inverse Laplace Transform, its properties, analysis of LTI systems using Laplace Transform. Third is Time and Frequency characterization of signals and systems, which includes LTI systems, linear phase, ideal lowpass filter, the sampling theorem. The fourth is discrete-time signals and systems, which includes the analysis of discrete-time signals, the analysis of discrete-time systems, discrete-time Fourier Transform, and the Z-transform, the inverse Z-transform.
Charpter 1 Signals and systems 3 hours
§1.1 Introduction
§1.2 Continuous-Time and Discrete-Time Signals
§1.3 Transformations of the Independent Variable
§1.4 Basic system Properties
Charpter 2 Time-Domain Representations of LTI 5 hours
§2.1 Continuous-Time LTI System: The Convolution Integral
§2.2 Discrete-Time LTI System: The Convolution Sum
§2.3 Properties of LTI System
§2.4 Causal LTI systems Described by Differential and Difference Equations
Charpter 3 Frequency-Domain Analysis of Continuous-Time LTI systems 10 hours
§3.1 The Eigenfunctions of Continuous-Time LTI systems
§3.2 Fourier Series Representation of Continuous-Time Periodic Signals
§3.3 Fourier Transform
§3.4 The Fourier Transform for Periodic Signals
§3.5 Properties of Fourier Transform
§3.6 Frequency-Domain Analysis of Continuous-Time LTI system
Charpter 4 Frequency-Domain Analysis of Discrete-Time LTI systems 11 hours
§4.1 The Eigenfunctions of Discrete-Time LTI systems
§4.2 Fourier Series Representation of Discrete-Time Periodic Signals
§4.3 Fourier Transform
§4.4 The Fourier Transform for Discrete-Time Periodic Signals
§4.5 Properties of the Discrete-Time Fourier Transform
§4.6 Frequency-Domain Analysis of Discrete-Time LTI system
Charpter 5 Sampling , Modulation and Communication System 3 hours
§5.1 Representation of a Continuous-Time Signal by its Samples:The Sampling Theorem
§5.2 Sinusoidal Amplitude Modulation and Frequency-Division Multiplexing
§5.3 Pulse-Amplitude Modulation and Time-Division Multiplexing
Charpter 6 The Laplace Transform 8 hours
§6.1 The Laplace Transform
§6.2 Some Laplace Transform Pairs
§6.3 Properties of the Laplace Transform
§6.4 The Laplace Trancform of Periodic Signals and Sampling Signals
§6.5 The Inverse Laplace Transform
§6.6 The Unilateral Laplace Transform
§6.7 Analysis of LTI System
Charpter 7 Z-Transform 8 hours
§7.1 Z-Transform
§7.2 The Region of Convergence for the Z-Transform
§7.3 Pole-Zero Plot of Z-Transform
§7.4 Properties of the Z-Transform
§7.5 Some Common z-Transform Pairs
§7.6 The Inverse Z-Transform
§7.7 The Unilateral z-Transform
§7.8 The Properties of Unilateral z-Transform
§7.9 Analysis of LTI System Using z-Transform
Related teaching sections:
3 hours/week
Test and Grading Criteria：
Examination
Suggested textbooks or references:
1. Yuhuiming. “signals and systems”. Chemical Industry book concern, Jan 2008