Intro
Preface to the Second Edition
Preface to the First Edition
Contents
About the Author
1 Representation of Discrete Signals and Systems
1.1 Introduction
1.2 Terminologies Related to Signals and Systems
1.2.1 Signal
1.2.2 System
1.3 Continuous and Discrete Time Signals
1.4 Basic Discrete Time Signals
1.4.1 The Unit Impulse Sequence
1.4.2 The Basic Unit Step Sequence
1.4.3 The Basic Unit Ramp Sequence
1.4.4 Unit Rectangular Sequence
1.4.5 Sinusoidal Sequence
1.4.6 Discrete Time Real Exponential Sequence

1.5 Basic Operations on Discrete Time Signals
1.5.1 Addition of Discrete Time Sequence
1.5.2 Multiplication of DT Signals
1.5.3 Amplitude Scaling of DT Signal
1.5.4 Time Scaling of DT Signal
1.5.5 Time Shifting of DT Signal
1.5.6 Multiple Transformation
1.6 Classification of Discrete Time Signals
1.6.1 Periodic and Non-periodic DT Signals
1.6.2 Odd and Even DT Signals
1.6.3 Energy and Power of DT Signals
1.7 Discrete Time System
1.8 Properties of Discrete Time System
1.8.1 Linear and Non-linear Systems
1.8.2 Time Invariant and Time Varying DT Systems

1.8.3 Causal and Non-causal DT Systems
1.8.4 Stable and Unstable Systems
1.8.5 Static and Dynamic Systems
1.8.6 Invertible and Inverse Discrete Time Systems
1.9 Sampling
1.9.1 Sampling Process
1.9.2 Sampling Theorem
1.9.3 Nyquist Rate
1.9.4 Anti-aliasing Filter
1.9.5 Signal Reconstruction
1.9.6 Sampling with Zero Order Hold
1.10 Analog to Digital Conversion
1.11 Quantization
1.11.1 Quantization Error
1.12 Energy Spectral Density of CT Signals
1.13 Power Spectral Density of CT Signals
1.13.1 Properties of Power Spectral Density

1.14 Recursive Systems
2 The z-transform Analysis of Discrete Time Systems
2.1 Introduction
2.2 The z-transform
2.3 Existence of the z-transform
2.4 Connection Between Laplace Transform, z-transform and Fourier Transform
2.5 The Region of Convergence (ROC)
2.6 Properties of the ROC
2.7 Properties of z-transform
2.7.1 Linearity
2.7.2 Time Shifting
2.7.3 Time Reversal
2.7.4 Multiplication by n
2.7.5 Multiplication by an Exponential
2.7.6 Time Expansion
2.7.7 Convolution Theorem
2.7.8 Initial Value Theorem
2.7.9 Final Value Theorem

2.8 Inverse z-transform
2.8.1 Partial Fraction Method
2.8.2 Inverse z-transform Using Power Series Expansion
2.8.3 Inverse z-transform Using Contour Integration or the Method of Residue
2.9 The System Function of DT Systems
2.10 Causality of DT Systems
2.11 Stability of DT System
2.12 Causality and Stability of DT System
2.13 z-transform Solution of Linear Difference Equations
2.13.1 Right Shift (Delay)
2.13.2 Left Shift (Advance)
2.14 Difference Equation from System Function
2.15 Introduction to Fourier Transform