This course is introduces the fundamental principles
of signals and system analysis. These concepts form the building
blocks of modern digital signal processing, communication and
control systems. Hence, a sound understanding of these principles is
necessary for all students of Electronics and Communication
engineering (ECE), Electrical and Electronics Engineering (EEE), and
Instrumentation Engineering (IE). The course will cover various
basic tools of signal and system analysis such as signal
classification, LTI systems, Properties of LTI Systems, Frequency
Response, Laplace Transform, Z-Transform, Fourier Transform, Fourier
Series, Discrete Time Fourier Transform (DTFT), Discrete Fourier
Transform (DFT), Cascade/ Parallel structures and their various
practical applications. Various concepts such as convolution,
impulse/ frequency response, causality, stability of systems will be
especially emphasized. Other additional topics such as state space
techniques and solutions to state space equations will also be
covered.

This course is suitable for all UG/PG students and practicing
engineers/ managers who are looking to build a solid grasp of the
fundamental concepts of signals and systems as well as students/
professionals preparing for their college/ university/ competitive
exams.

Week

Topics

1.

Introduction to Signals,
Signal Classification, Continuous/ Discrete Time Signals

2.

Definition and
Classification of Systems, Linear Time Invariant (LTI)
Systems

3.

Properties of LTI
Systems, Impulse Response, Convolution, Causality,
Stability

4.

Impulse Response of
Discrete Time Systems, Discrete Time Convolution,
Difference Equations and Analysis

5.

Laplace Transform,
Properties of Laplace Transform, Inverse Laplace Transform

6.

Introduction to
z-Transform, Properties of z-Transform, Region of
Convergence, Inverse z-Transform

7.

Introduction to Fourier
Analysis, Fourier Series for Periodic Signals, Properties
of Fourier Series

8.

Introduction to Fourier
Transform, Properties of Fourier Transform, Frequency
Response of Continuous Time Systems, Examples of Frequency
Response

9.

Fourier Analysis of
Discrete Signals, Discrete Time Fourier Transform (DTFT),
Properties of DTFT, Examples of DTFT

10.

Frequency Response of
Discrete Time Systems, Discrete Fourier Transform (DFT),
Properties of DFT, Examples of DFT

11.

IIR/ FIR Filters, Direct
Form Realization, Cascade and Parallel Form Realization,
Problem Solving

12.

Concept of State, State
Space Analysis, State Space Representation of Continuous
Time Systems, Solution of State Equations for Continuous
Systems

Basic knowledge of Integration, Differentiation, Complex Numbers

Signals and Systems, Oppenheim and Willsky, Prentice Hall

NIL

NIL

Important: Please enable javascript in your browser and download Adobe Flash player to view this site
Site Maintained by Web Studio, IIT Madras. Contact Webmaster: nptel@iitm.ac.in