Course Title: 
Signals Processing I
Course Code: 
Year Taught: 
Undergraduate (UG)
School of Engineering

'Signals Processing I' is a course offered for the B. Tech. (Bachelor of Technology) in Electronics and Communication Engineering at School of Engineering, Amrita Vishwa Vidyapeetham.

Unit 1

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

Signals: Classification of signals, continuous – discrete time; even / odd signals, periodic / nonperiodic 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 systems. LTI system response of LTI system - convolution, properties (continuous / discrete) - LTI systems – differential / difference equation representation.

Unit 2

Fourier Series: Fourier series - Half range Expansions - Parseval’s Identity - Transform integrals¬ - Fourier Integrals - Fourier integral theorem. Sine and Cosine Integrals. Fourier analysis of continuous time signals and systems: Fourier series for periodic signals - Sine and Cosine Transforms - Fourier transform – properties of continuous time FT - Sampling: Sampling theorem - reconstruction of signal – aliasing.

Unit 3

Laplace Transform analysis of systems: Laplace Transforms, Inverse Transforms, Linearity, Shifting, Transforms of Derivatives and Integrals – ROC - inverse LT - unilateral LT - Frequency response of continuous time LTI systems, response of electronic circuits with initial conditions using Lapalce transforms. Z-Transform: Definition – ROC - inverse z-transform – properties - transform analysis of LTI Systems - Frequency response of discrete time LTI systems. Inter relationship between different representations and transforms.


  1. Alan V. Oppenheim, Alan S. Wilsky, S, Hamid Nawab, “Signals and Systems”. Prentice Hall India private Limited, Second Edition, 1997
  2. E Kreyszig, “Advanced Engineering Mathematics”, John Wiley and Sons, Ninth Edition, 2012.


  1. Simon Haykin, Barry Van Veen, “Signals and Systems”, Second Edition, John Wiley and Sons, 2005.
  2. Lathi B P, “ Signal Processing & Linear Systems”, Oxford University Press, 2006
  3. Michael J. Roberts, “Fundamentals of Signals and systems”, Tata McGraw Hill Publishing Company Limited, First Edition, 2007
  4. Rodger E. Ziemer, William H. Tranter D. Ronal Fannin, “Signals and Systems”, Pearson Education, Fourth Edition, 2004.