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UNIT - I DISCRETE-TIME SIGNALS AND SYSTEMS

1.1 Discrete-Time Signals: Some Elementary Discrete-Time signals, Classification of Discrete-Time Signals, Simple Manipulation

1.2 Discrete-Time Systems: Input-Output Description, Block Diagram Representation, Classification-Interconnection

1.3 Analysis of Discrete-Time LTI Systems: Techniques, Response of LTI Systems, Properties of Convolution, Causal LTI Systems, Stability of LTI Systems; Discrete-Time Systems Described by Difference Equations; Implementation of Discrete-Time Systems

1.4 Correlation of Discrete-Time Signals: Cross correlation and Autocorrelation Sequences, Properties

UNIT - II THE CONTINUOUS-TIME FOURIER SERIES AND TRANSFORM

2.1 The Continuous-Time Fourier Series:Basic Concepts and Development of the Fourier series; Calculation of the Fourier Series, Properties of the Fourier Series

2.2 The Continuous-Time Fourier Transform: Basic Concepts and Development of the Fourier Transform; Properties of the Continuous-Time Fourier Transform

UNIT - III THE Z-TRANSFORM AND ITS APPLICATION TO THE ANALYSIS OF LTI SYSTEMS

3.1 The Z-Transform: The Direct Z-Transform, The Inverse Z-Transform; Properties of the Z-Transform

3.2 Rational Z-Transforms: Poles and Zeros, Pole Location and Time-Domain Behavior for Causal Signals, The System Function of a Linear Time-Invariant System

3.3 Inversion of the Z-Transforms: The Inversion of the Z-Transform by Power Series Expansion, The Inversion of the Z-Transform by Partial-Fraction Expansion

3.4 The One-sided Z-Transform: Definition and Properties, Solution of Difference Equations

UNIT - IV THE DISCRETE FOURIER TRANSFORM: ITS PROPERTIES AND APPLICATIONS

4.1 Frequency Domain Sampling: The Discrete Fourier Transform

4.2 Properties of the DFT: Periodicity, Linearity and Symmetry Properties, Multiplication of Two DFTs and Circular Convolution, Additional DFT Properties

UNIT - V ADDITIONAL MODULE(PROPERTIES OF CONTINUOUS-TIME SYSTEMS)

5.1 Properties of Continuous-Time Systems: Block Diagram and System Terminology

5.2 System Properties: Homogeneity, Time Invariance, Additivity, Linearity and Superposition, Stability, Causality