18EE54 Signals and Systems syllabus for EE

Introduction: Definitions of signals and a system, classification of signals, basic operations on signals. Elementary signals viewed as interconnections of operations, properties of systems.

Time – Domain Representations for LTI Systems: Convolution, impulse response, properties, solution of differential and difference equations, block diagram representation.

The Continuous-Time Fourier Transform: Representation of a non -periodic signals: continuous-time Fourier transform (FT), Properties of continuous-time Fourier transform, Applications. Frequency response of LTI systems, Solutions of differential equations.

The Discrete-Time Fourier Transform: Representations of non-periodic signals: The discrete-time Fourier transform (DTFT), Properties of DTFT and applications. Frequency response of LTI system, Solutions of difference equations.

Z- Transforms: Introduction, Z-transform, properties of ROC, properties of Z-transforms, inversion of Z-transform methods - power series and partial expansion, Transforms analysis of LTI systems, transfer function, stability and causality, unilateral Z-transform and its application to solve difference equations.

Course Outcomes:

At the end of the course the student will be able to:

• Explain the generation of signals, behavior of system and the basic operations that can be performed on signals and properties of systems.
• Apply convolution in both continuous and discrete domain for the analysis of systems given impulse response of a system.
• Solve the continuous time and discrete time systems by various methods and their representation by block diagram.
• Perform Fourier analysis for continuous and discrete time, linear time invariant systems.
• Apply Z-transform and properties of Z transform for the analysis of discrete time systems.

Question paper pattern:

• The question paper will have ten questions.
• Each full question is for 20 marks.
• There will be 2 full questions (with a maximum of three sub questions in one full question) from each module.
• Each full question with sub questions will cover the contents under a module. Students will have to answer 5 full questions, selecting one full question from each module.

Text Book

1 Signals and Systems Simon Haykin, Berry Van Veen Wiley 2nd Edition,2002

Reference Books

1 Fundamentals of Signals and Systems Michael J. Roberts, Govind K Sharma McGraw Hill 2nd Edition 2010

2 Signals and Systems NagoorKani McGraw Hill 1st Edition 2010

3 Signals and Systems A Primer with MATLAB Matthew N.O. Sadiku Warsame H. Ali CRC Press 1st Edition, 2016

4 Signals and Systems Anand Kumar PHI 3rd Edition, 2015