College of Engineering PAF – KIET

Signals and Systems A foundation course introducing mathematical modeling and analysis of continuous-time LTI

systems in time as well as in transform domain.

Credit Hours: 3+0

Class ID: 60479, 60488, 60497

Semester: Fall 2014

Instructor: S. M. Monir, PhD Email: monir@pafkiet.edu.pk Consultation Hours: 1430 – 1530 hrs

Helpful Software: Matlab/Labview

Textbook: Signals, Systems, and Transforms by Phillipps, Parr, and Riskin (3rd or 4th Edition)

Reference: Signals and Systems by Simon Haykins (2nd Edition) Signals and Systems by Alan V Oppenheim(2nd Edition)

Course Contents

Topic Subtopic Reference1

Introduction Introduction to the Course Class Lecture

Mathematical Modeling of Physical Systems Class Lecture Section 1.1

Real-world Applications of Modeling and Importance of the Course

Class Lecture

Continuous-Time Signals and Systems

Review of Signal plotting Class Lecture

Signal Classification Section 2.2 Class Lecture

Elementary Signal Operations Section 2.1

Some Elementary Signals Section 2.3 – 2.5

Continuous-time Systems Section 2.6

Properties of Systems Section 2.7

Linear Time-Invariant Systems

Impulse Representation of Continuous-Time Signals

Section 3.1

Convolution Section 3.2,3.3

Properties of LTI Systems Section 3.4

System Modeling using Differential Equations Section 3.5

Natural Response Section 3.6

System Response for Complex Exponential Inputs

Section 3.7

1 From 3

rd Edition of the Textbook

College of Engineering PAF – KIET

Fourier Series Addition of Periodic Signals Example 2.7 Section 4.1

Fourier Series Section 4.2

Frequency Spectra Section 4.3

Properties of Fourier Series Section 4.4

Parseval’s Power Theorem Class Lecture

The Fourier Transform

Introduction and Examples Section 5.1

Properties of Fourier Transform Section 5.2

Fourier Transforms of Time Functions Section 5.3

Energy and Power Density Spectra Section 5.6

Applications of The Fourier Transform

Filters Section 6.1, 6.2

Sampling Continuous-time Signals Section 5.4

Reconstruction of Signals from Sample Data Section 6.4

Amplitude Modulation Section 6.5

The Laplace Transform2

Review and Examples Section 7.1 – 7.3

Properties of Laplace Transform Section 7.4

Response of LTI Systems Section 7.5, 7.6

LTI Systems Characteristics Section 7.5, 7.6

Marks Distribution

Final Exam 50

Mid-Term 25

Quizzes 10

Assignments 10

Class Participation 5

Total 100

2 Mathematics of Laplace Transform has already been introduced to the students in the course of Differential Equations

and Transforms. The purpose of introducing it here is to look at its application for analysis of LTI Systems and prepare

them for the course of Linear control systems