5EC1 SIGNALS AND SYSTEMS

UNIT 1

:

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.

UNIT 2 : 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.

UNIT 3

:

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.

UNIT 4

:

Z-TRANSFORM & LAPLACE TRANSFORM

: Introduction. The region of convergence for

the Z-transform. The Inverse Z-transform. Two dimensional Z-transform. Properties of Z transform.

Laplace transform, Properties of Laplace Transform, Application of Laplace transform to system analysis.

UNIT 5

:

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.