Course Title: 
Signals and Systems
Course Code: 
Year Taught: 
Undergraduate (UG)
School of Engineering

'Signals and Systems' is a course offered in the fifth semester of B. Tech. in Electrical and Electronics Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham.

Unit 1

Introduction: Integrated approach for continuous and discrete - time cases.

Signals: Classification of signals, Continuous - Discrete time, Even / Odd signals, Periodic/ Non-periodic signals, Deterministic / Random signals, Energy / Power signals, Basic operations on signals, Basic (Continuous / Discrete) signals - unit step, unit impulse, sinusoidal and complex exponential signals etc.

Systems (Continuous / Discrete): Representation, Classification – Linear / Nonlinear, Causal / Noncausal, Time invariant / Time variant, with / without memory, BIBO stability, Feedback system, LTI system – Response of LTI system, Convolution, Properties (Continuous / Discrete), LTI systems – Differential / Difference equation representation and solution, MATLAB exercises for generation of signals.

Unit 2

Fourier analysis of continuous time signals and systems: Fourier series for periodic signals, Fourier transform - Properties of continuous time FT, Frequency response of continuous time LTI systems, MATLAB exercises for Fourier Series and Fourier Transforms.

Fourier analysis of discrete time signals and systems: Discrete time Fourier series, Discrete Time Fourier transform - Properties of DTFT, Frequency response of discrete time LTI systems, Laplace Transform analysis of systems: ROC, Inverse LT, Unilateral LT, Solving differential equation with initial conditions.

Unit 3

Sampling: Sampling theorem, Reconstruction of signal, Aliasing, Sampling of discrete time signals, Sampling of real time signals from PT, Reconstruction and Analysis of such signals, MATLAB exercises for generation of signals.

z-Transform: Definition, ROC, Inverse z-Transform, Properties, Transform analysis of LTI Systems.

Interrelationship amongst different representation and Transforms.

  • Alan V. Oppenheim, Alan S. Willsky, S, Hamid Nawab, “Signals and Systems”, Prentice Hall India Private Limited, 1997.
  • Simon Haykin, Barry Van Veen, “Signals and Systems”, Second Edition, John Wiley and Sons, 2005.
  • Michael J. Roberts, “Fundamentals of Signals and Systems”, First Edition, Tata McGraw Hill Publishing Company Limited, 2007.
  • Rodger E. Ziemer, William H. Tranter D. Ronald Fannin, “Signals and Systems”, Fourth Edition, Pearson Education, 2004.