5EC1 SIGNALS AND SYSTEMS
  Units    Contents of the subjects
I
INTRODUCTION: - Continuous time and discrete time systems, Properties of systems. Linear time invariant systems - continuous time and discrete time. Properties of LTI systems and their block diagrams. Convolution, Discrete time systems described by difference equations.
II

FOURIER SERIES REPRESENTATION OF SIGNALS : - Fourier series representation of continuous periodic signal & its properties, Fourier series representation of Discrete periodic signal & its properties, Continuous time filters & Discrete time filters described by Diff. equation
III
FOURIER TRANSFORM: -The continuous time Fourier transform for periodic and aperiodic signals, Properties of CTFT. Discrete time Fourier transform for periodic and aperiodic signals. Properties of DTFT. The convolution and modulation property.
IV
Z-TRANSFORM & LAPLACE TRANSFORM:-Introduction. The region of convergence for the Z-transform. The Inverse Z-transform. Two dimensional Ztransform. Properties of Z transform. Laplace transform, Properties of Laplace Transform, Application of Laplace transform to system analysis.
V
SAMPLING:-Mathematical theory of sampling. Sampling theorem. Ideal & Real
sampling. Interpolation technique for the reconstruction of a signal from its samples.
Aliasing. Sampling in freq. domain. Sampling of discrete time signals.
Text/References:
• Principles Of Linear Systems And Signals, 2e (Intl. Version), Lathi 2nd, Oxford
• Signal & Systems 3e, Chen 3rd, Oxford
• Fundamentals Of Signals And Systems, Wiley
• Signals And Systems, P Rao, TMH
• Signals And Systems: A Simplified Approach, Ganesh Rao, 4e, Pearson
• Signals And Systems: Continuous And Discrete, Roger E Ziemer, 4e, PHI
• Signals And Systems, Ravi Kumar, PHI