SIGNALS AND SYSTEMS - SIGNALS AND SYSTEMS FOR DUMMIES

well-received text continues to provide coherent and comprehensive coverage of signals and systems. It is designed for undergraduate students of electronics and communication engineering, telecommunication engineering, electronics and instrumentation engineering, and electrical and electronics engineering.

Written with student-centred, pedagogically driven approach, the text provides a self-contained introduction to the theory of signals and systems. This book looks at the concepts of systems, and also examines signals and the way that signals interact with physical systems. It covers topics ranging from basic signals and systems to signal analysis, properties of continuous-time Fourier transforms including Fourier transforms of standard signals, signal transmission through linear systems, relation between convolution and correlation of signals, sampling theorems and techniques, and transform analysis of LTI systems.

Module – I
Discrete-Time Signals and Systems: Discrete-Time Signals: Some
Elementary Discrete-Time signals, Classification of Discrete-Time Signals,
Simple Manipulation; Discrete-Time Systems : Input-Output Description, Block
Diagram Representation, Classification, Interconnection; 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; Correlation of Discrete-Time Signals: Crosscorrelation and
Autocorrelation Sequences, Properties.
Properties of Continuous-Time Systems: Block Diagram and System
Terminology, System Properties: Homogeneity, Time Invariance, Additivity,
Linearity and Superposition, Stability, Causality.

Module – II
The Continuous-Time Fourier Series: Basic Concepts and Development of the
Fourier Series, Calculation of the Fourier Series, Properties of the Fourier
Series.
The Continuous-Time Fourier Transform: Basic Concepts and Development of
the Fourier Transform, Properties of the Continuous-Time Fourier Transform.

Module- III
The Z-Transform and Its Application to the Analysis of LTI Systems: The Z-
Transform: The Direct Z-Transform, The Inverse Z-Transform; Properties of
the Z-Transform; Rational Z-Transforms: Poles and Zeros, Pole Location and
Time-Domain Behaviour for Causal Signals, The System Function of a Linear
Time-Invariant System; 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; The One-sided Z-Transform: Definition and
Properties, Solution of Difference Equations.

The Discrete Fourier Transform: Its Properties and Applications: Frequency
Domain Sampling: The Discrete Fourier Transform; Properties of the DFT:
Periodicity, Linearity, and Symmetry Properties, Multiplication of Two DFTs
and Circular Convolution, Additional DFT Properties.