EE3210Signals and Systems

What you will study

Course overview and aims

Students will gain a solid understanding of the fundamental concepts and tools vital for the analysis of signals and systems. In addition, they will acquire foundational knowledge and skills that are applicable across a broad spectrum of scientific and engineering disciplines, including but not limited to communications, control, and signal processing.

Keyword syllabus

Signals What is a signal; Basic time-domain signal operations: time shift, time reversal, time scaling; Basic continuous-time and discrete-time signals; Dirac impulse function, unit step function, complex exponentials; Energy and power signals. Systems What is a system; Classification of systems: linear versus nonlinear, time-invariant versus time-variant, causal versus non-casual, memoryless versus not memoryless, stable versus unstable; Representation of signals in terms of Dirac impulses; Continuous-time linear time-invariant (LTI) systems with the concepts of convolution integral; Discrete-time LTI systems with the concepts of convolution sum; Properties of LTI systems; Systems described by differential and difference equations. Fourier Analysis for Continuous-Time Signals and Systems Representation of periodic signals by Fourier series; Approximation of periodic signals using Fourier Series and the convergence of Fourier series; Representation of aperiodic and periodic signals by Fourier transform; Properties of the Fourier transform; Frequency response of LTI systems. Fourier Analysis for Discrete-Time Signals and Systems Representation of discrete-time signals by discrete-time Fourier transform; Properties of the discrete-time Fourier transform; Frequency response of discrete-time LTI systems; Sampling and reconstruction of continuous-time signals. Laplace Transform Definition of Laplace transform; Region of convergence for Laplace transform; Inverse Laplace transform; Geometric evaluation of the Fourier transform from the pole-zero plot; Properties of Laplace transform; Analysis and characterization of LTI systems using the Laplace transform; Partial fraction expansion; Solution of differential equations; Transfer function. z-Transform Definition of z-transform; Relationship with Laplace and Fourier transforms; Region of convergence for z-transforms; Properties of z-transform; Inverse z-transform; Geometric evaluation of the Fourier Transform from the pole-zero plot; Solution of difference equation; Analysis and characterization of LTI systems using z-transform. Applications Spectral analysis; Modulation and demodulation; Signal approximation.

Official PDF, page 4 · Keyword Syllabus

Intended learning outcomes

View learning outcomes

CILO	Intended learning outcome	Weight	DEC
1	Explain different types of signals and systems, along with their properties in both continuous-time and discrete-time domains.	20%	DEC-A1, DEC-A2
2	Explain and apply signal transform across different domains.	35%	DEC-A1, DEC-A2
3	Discuss and analyze the input-output relationship of linear time-invariant systems using time-domain techniques and transform methods.	35%	DEC-A1, DEC-A2
4	Apply concepts and tools of signals and systems to solve engineering problems	10%	DEC-A1, DEC-A2, DEC-A3

Official PDF, page 2 · Course Intended Learning Outcomes (CILOs)

Before you take this course

Check prerequisites, precursors and corequisites separately, together with equivalence and exclusion conditions. “and” means conditions must be met together; “or” marks alternatives. Read combined conditions in the groupings shown in the original text below.

Prerequisites

MA1201 Calculus and Basic Linear Algebra II or MA1301 Enhanced Calculus and Linear Algebra II or EE1002 Principles of Electrical Engineering (Only applicable from 2021/22 and thereafter)

Precursors

Nil

Corequisites

This edition of the official syllabus does not state this item.

Additional course requirements

This edition of the official syllabus does not state this item.

Equivalent courses and conditions

Nil

Exclusive courses and conditions

Nil

Assessment and passing the course

Assessment

Continuous assessment: 60%; Examination: 40%; Examination duration: 2 hours

Assessment breakdown

Assessment task	Weight	Generative AI	Remarks and restrictions
TestsCILO 1, 2, 3, 4	40%	No	-
AssignmentsCILO 1, 2, 3, 4	20%	Yes	-

Official PDF, page 2 · Assessment Tasks / Activities (ATs)

View the original assessment table and instructions

Assessment Tasks / Activities (ATs)
                      ATs                 CILO No.               Weighting (%)              Remarks ("-" for     Allow Use of
                                                                                            nil entry)           GenAI?
1                     Tests (min.: 2)     1, 2, 3, 4             40                         -                    No
2                     #Assignments        1, 2, 3, 4             20                         -                    Yes
                      (min.: 3)

Passing requirements

Remark: To pass the course, students are required to achieve at least 30% in coursework and 30% in the examination. # may include homework, tutorial exercise, project/mini-project, presentation