Book description
"Discrete linear systems and digital signal processing have been treated for years in separate publications. ElAli has skillfully combined these two subjects into a single and very useful volume. � Useful for electrical and computer engineering students and working professionals� a nice addition to the shelves of academic and public libraries. "Sum
Table of contents
 Cover
 Half Title
 Title Page
 Copyright Page
 Dedication
 Table of Contents
 Preface
 Acknowledgments
 Author

1. Signal Representation
 1.1 Introduction
 1.2 Why Do We Discretize Continuous Systems?
 1.3 Periodic and Nonperiodic Discrete Signals
 1.4 Unit Step Discrete Signal
 1.5 Impulse Discrete Signal
 1.6 Ramp Discrete Signal
 1.7 Real Exponential Discrete Signal
 1.8 Sinusoidal Discrete Signal
 1.9 Exponentially Modulated Sinusoidal Signal
 1.10 Complex Periodic Discrete Signal
 1.11 Shifting Operation
 1.12 Representing a Discrete Signal Using Impulses
 1.13 Reflection Operation
 1.14 Time Scaling
 1.15 Amplitude Scaling
 1.16 Even and Odd Discrete Signal
 1.17 Does a Discrete Signal Have a Time Constant?
 1.18 Basic Operations on Discrete Signals
 1.19 Energy and Power Discrete Signals
 1.20 Bounded and Unbounded Discrete Signals
 1.21 Some Insights: Signals in the Real World
 End of Chapter Examples
 End of Chapter Problems

2. Discrete System
 2.1 Definition of a System
 2.2 Input and Output
 2.3 Linear Discrete Systems
 2.4 Time Invariance and Discrete Signals
 2.5 Systems with Memory
 2.6 Causal Systems
 2.7 Inverse of a System
 2.8 Stable System
 2.9 Convolution
 2.10 Difference Equations of Physical Systems
 2.11 Homogeneous Difference Equation and Its Solution
 2.12 Nonhomogeneous Difference Equations and Their Solutions
 2.13 Stability of Linear Discrete Systems: The Characteristic Equation
 2.14 Block Diagram Representation of Linear Discrete Systems
 2.15 From the Block Diagram to the Difference Equation
 2.16 From the Difference Equation to the Block Diagram: A Formal Procedure
 2.17 Impulse Response
 2.18 Correlation
 2.19 Some Insights
 End of Chapter Examples
 End of Chapter Problems

3. Fourier Series and the Fourier Transform of Discrete Signals
 3.1 Introduction
 3.2 Review of Complex Numbers
 3.3 Fourier Series of Discrete Periodic Signals
 3.4 Discrete System with Periodic Inputs: The SteadyState Response
 3.5 Frequency Response of Discrete Systems
 3.6 Fourier Transform of Discrete Signals
 3.7 Convergence Conditions
 3.8 Properties of the Fourier Transform of Discrete Signals
 3.9 Parseval’s Relation and Energy Calculations
 3.10 Numerical Evaluation of the Fourier Transform of Discrete Signals
 3.11 Some Insights: Why Is This Fourier Transform?
 End of Chapter Examples
 End of Chapter Problems

4. zTransform and Discrete Systems
 4.1 Introduction
 4.2 Bilateral zTransform
 4.3 Unilateral zTransform
 4.4 Convergence Considerations
 4.5 Inverse zTransform
 4.6 Properties of the zTransform
 4.7 Representation of Transfer Functions as Block Diagrams
 4.8 x(n), h(n), y(n), and the zTransform
 4.9 Solving Difference Equation Using the zTransform
 4.10 Convergence Revisited
 4.11 FinalValue Theorem
 4.12 InitialValue Theorem
 4.13 Some Insights: Poles and Zeroes
 End of Chapter Exercises
 End of Chapter Problems

5. StateSpace and Discrete Systems
 5.1 Introduction

5.2 Review on Matrix Algebra
 5.2.1 Definition, General Terms, and Notations
 5.2.2 Identity Matrix
 5.2.3 Adding Two Matrices
 5.2.4 Subtracting Two Matrices
 5.2.5 Multiplying a Matrix by a Constant
 5.2.6 Determinant of a TwobyTwo Matrix
 5.2.7 Transpose of a Matrix
 5.2.8 Inverse of a Matrix
 5.2.9 Matrix Multiplication
 5.2.10 Eigenvalues of a Matrix
 5.2.11 Diagonal Form of a Matrix
 5.2.12 Eigenvectors of a Matrix
 5.3 General Representation of Systems in State Space
 5.4 Solution of the StateSpace Equations in the zDomain
 5.5 General Solution of the State Equation in Real Time
 5.6 Properties of An and Its Evaluation
 5.7 Transformations for StateSpace Representations
 5.8 Some Insights: Poles and Stability
 End of Chapter Examples
 End of Chapter Problems

6. Block Diagrams and Review of Discrete System Representations
 6.1 Introduction
 6.2 Basic Block Diagram Components
 6.3 Block Diagrams as Interconnected Subsystems
 6.4 Controllable Canonical Form Block Diagrams with Basic Blocks
 6.5 Observable Canonical Form Block Diagrams with Basic Blocks
 6.6 Diagonal Form Block Diagrams with Basic Blocks
 6.7 Parallel Block Diagrams with Subsystems
 6.8 Series Block Diagrams with Subsystems
 6.9 Block Diagram Reduction Rules
 End of Chapter Examples
 End of Chapter Problems

7. Discrete Fourier Transform and Discrete Systems
 7.1 Introduction
 7.2 Discrete Fourier Transform and the FiniteDuration Discrete Signals
 7.3 Properties of the DFT
 7.4 Relation the DFT Has with the Fourier Transform of Discrete Signals, the zTransform, and the Continuous Fourier Transform
 7.5 Numerical Computation of the DFT
 7.6 Fast Fourier Transform: A Faster Way of Computing the DFT

7.7 Applications of the DFT
 7.7.1 Circular Convolution
 7.7.2 Linear Convolution
 7.7.3 Approximation to the Continuous Fourier Transform
 7.7.4 Approximation to the Coefficients of the Fourier Series and the Average Power of the Periodic Signal x(t)
 7.7.5 Total Energy in the Signal x(n) and x(t)
 7.7.6 Block Filtering
 7.7.7 Correlation

7.8 Some Insights
 7.8.1 DFT Is the Same as the fft
 7.8.2 DFT Points Are the Samples of the Fourier Transform of x(n)
 7.8.3 How Can We Be Certain That Most of the Frequency Contents of x(t) Are in the DFT?
 7.8.4 Is the Circular Convolution the Same as the Linear Convolution?
 7.8.5 Is X(w) ≅ X(k)?
 7.8.6 Frequency Leakage and the DFT
 End of Chapter Exercises
 End of Chapter Problems

8. Sampling and Transformations
 8.1 Need for Converting a Continuous Signal to a Discrete Signal
 8.2 From the Continuous Signal to Its Binary Code Representation
 8.3 From the Binary Code to the Continuous Signal
 8.4 Sampling Operation
 8.5 How Do We Discretize the Derivative Operation?
 8.6 Discretization of the StateSpace Representation
 8.7 Bilinear Transformation and the Relationship between the LaplaceDomain and the zDomain Representations
 8.8 Other Transformation Methods
 8.9 Some Insights
 End of Chapter Examples
 End of Chapter Problems
 9. Infinite Impulse Response Filter Design

10. Finite Impulse Response Digital Filters
 10.1 Introduction
 10.2 FIR Filter Design

10.3 Design Based on the Fourier Series: The Windowing Method
 10.3.1 Ideal Lowpass FIR Filter Design
 10.3.2 Other Ideal Digital FIR Filters
 10.3.3 Windows Used in the Design of the Digital FIR Filter
 10.3.4 Which Window Does Give the Optimal h(n)?
 10.3.5 Design of a Digital FIR Differentiator
 10.3.6 Design of Comb FIR Filters
 10.3.7 Design of a Digital Shifter: The Hilbert Transform Filter
 10.4 From IIR to FIR Digital Filters: An Approximation
 10.5 Frequency Sampling and FIR Filter Design
 10.6 FIR Digital Design Using MATLAB®
 10.7 Some Insights
 End of the Chapter Examples
 End of Chapter Problems
 Bibliography
Product information
 Title: Discrete Systems and Digital Signal Processing with MATLAB, 2nd Edition
 Author(s):
 Release date: April 2016
 Publisher(s): CRC Press
 ISBN: 9781000755688
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