Digital and Statistical Signal Processing

Content: Cover
 Half Title
 Title Page
 Copyright Page
 Dedication
 Table of Contents
 Preface
 Authors
 List of Acronyms
 Section I : Topics on Digital Signal Processing
 Chapter 1: Introduction
 1.1 Introduction
 1.2 Advantages of Digital Signal Processing
 1.3 Digitization Steps of Analog Signals
 1.3.1 Sampling
 1.3.2 Quantization
 1.3.3 Coding
 1.4 Sampling and Reconstruction of Sinusoidal Signals
 1.4.1 Proof of the Sampling Theorem and a Detailed Discussion
 1.5 Physical Sampling
 1.6 Sampling and Holding
 1.7 Non-Accurate Reconstruction of Analog Signals
 1.8 SOLVED PROBLEMS. Chapter 2: Discrete-Time Signals and Systems2.1 Discrete-Time Signals
 2.2 Basic Discrete-Time Signals
 2.2.1 Impulse Function
 2.2.2 Unit Step Function
 2.2.3 Ramp Function
 2.2.4 Unit Rectangular Function (Pulse Function)
 2.2.5 Exponential Function
 2.2.6 The Sinusoidal Sequence
 2.3 Even and Odd Discrete-Time Signals
 2.4 Energy and Power of a Discrete-Time Signal
 2.5 Conversion of the Independent and Dependant Variable
 2.6 Discrete-Time Systems
 2.7 Categories of Discrete-Time Systems
 2.7.1 Linear Discrete Systems
 2.7.2 Time-Invariant Discrete Systems. 2.7.3 Discrete Systems with Memory2.7.4 Invertible Discrete Systems
 2.7.5 Casual Discrete Systems
 2.7.6 Stable Discrete Systems
 2.8 System Connections
 2.9 Convolution
 2.10 Deconvolution
 2.11 Correlation --
Autocorrelation
 2.12 Difference Equations
 2.13 Discrete-Time Systems of Finite Impulse Response
 2.14 Solved Problems
 Chapter 3: z-Transform
 3.1 Introduction
 3.2 From Laplace Transform to z-Transform
 3.2.1 Comparison of the s- and z-Planes into the Region of Convergence
 3.3 Properties of z-Transform
 3.3.1 Time Shift
 3.3.2 Linearity
 3.3.3 Time Reversal
 3.3.4 Convolution. 3.3.5 Differentiation in z-Plane3.3.6 Multiplication by an Exponential Sequence
 3.3.7 Conjugation of a Complex Sequence
 3.3.8 Initial and Final Value Theorem
 
 3.3.9 Correlation of Two Sequences
 3.4 Inverse z-Transform
 3.4.1 Method of Power Series Expansion (Division Method)
 3.4.2 Method of Partial Fraction Expansion
 3.4.3 Method of Complex Integration
 3.5 z-Transform in System Analysis
 3.5.1 Transfer Function of Discrete-Time Signal
 3.5.2 Causality of Discrete-Time Systems
 3.5.3 Stability of Discrete-Time Systems
 3.5.4 Transfer Function of Connected Systems. 3.5.5 Transfer Function of Discrete-Time Systems3.6 Formula Tables
 3.7 Solved Problems
 Chapter 4: Structures for the Realization of Discrete-Time Systems
 4.1 Introduction
 4.2 Block Diagrams
 4.3 Realization Structures
 4.3.1 Implementation Structures of IIR Discrete Systems
 4.3.2 Implementation Structures of FIR Discrete Systems
 4.4 Signal Flow Graphs
 4.4.1 Mason's Gain Formula
 4.5 Solved Problems
 Chapter 5: Frequency Domain Analysis
 5.1 Introduction
 5.2 Discrete-Time Fourier Transform (DTFT)
 5.3 Discrete Fourier Series (DFS)
 5.3.1 Periodic Convolution.