Signals and Systems

Course No.: ES 231

Course Title: Signals and Systems

Offerings (Internal Site for Students Enrolled in the Course) : Semester 2 (2016-17)

Semester 2 (2015-16)

Credits: L-T-P-C: 3-1-0-4

Prerequisites: None

Course Contents:

Motivation and Basic Preliminaries of Signals & Systems – Their manifestations, Prospects of modeling a wide variety of situations in terms of Signals & Systems; Classifications of Signals in Continuous and Discrete cases, Basic Signals-Unit Impulse, Unit Ramp, Exponential (real and complex) functions, Significance of Basic Signals; Basic Operations on signals. Vector-space interpretations in terms of Basic Signals useful for evolving various transforms; Classifications of Systems – Concepts of Linearity, Causality, Stability, Time-invariance, Convolution for CT & DT signals and systems; Necessity of representations of Signals & Systems in Time- and Transformed-domains; Time-domain Analysis of CT & DT dynamic systems represented by Differential & Difference equations; Fourier-domain analysis of CT & DT for Periodic and aperiodic signals & systems- FS, FT, DFS and DTFT and inter-relations amongst them; Sampling and the associated concepts; Laplace- and Z-Transforms; Brief introduction to- DFT/FFT and Wavelet Transforms: A few typical applications.

Textbooks:

• “Signals and Systems”, A. V. Oppenheim, A. S. Willsky, and S. H. Navab, 2^nd Edition. Prentice Hall. ---- (OWN: Key Chapters: 1-5, 7-10)
• “Principles of Signal Processing and Linear Systems”, B. P. Lathi, 2^nd Edition, Oxford University Press. (BPL: Key Chapters: 1-9)

References:

• “Signals and Systems”, Simon Haykin and Barry Van Veen, 2^nd Edition.
• “Schaum's Outline of Signals and Systems” H. P. Hsu, McGraw-Hill.