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Digital Signal Processing Signals, Systems, and Filters

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ISBN-10: 0071454241

ISBN-13: 9780071454247

Edition: 2006

Authors: Andreas Antoniou

List price: $146.00
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Description:

An up-to-the-minute textbook for junior/senior level signal processing courses and senior/graduate level digital filter design courses, this text is supported by a DSP software package known as D-Filter which would enable students to interactively learn the fundamentals of DSP and digital-filter design. The book includes a free license to D-Filter which will enable the owner of the book to download and install the most recent version of the software as well as future updates.
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Book details

List price: $146.00
Copyright year: 2006
Publisher: McGraw-Hill Professional Publishing
Publication date: 10/10/2005
Binding: Hardcover
Pages: 965
Size: 7.50" wide x 7.25" long x 2.00" tall
Weight: 3.938
Language: English

Andreas Antoniou received the B.Sc. (Eng.) and Ph.D. degrees in Electrical Engineering from the University of London, U.K., in 1963 and 1966, respectively, and is a Fellow of the Institution of Electrical Engineers and the Institute of Electrical and Electronics Engineers. He taught at Concordia University from 1970 to 1983 serving as Chair of the Department of Electrical and Computer Engineering during 1977-83. He served as the founding Chair of the Department of Electrical and Computer Engineering, University of Victoria, B.C., Canada, from 1983 to 1990, and is now Professor Emeritus in the same department. His teaching and research interests are in the areas of circuits and systems and…    

Preface
Introduction to Digital Signal Processing
Introduction
Signals
Frequency-Domain Representation
Notation
Signal Processing
Analog Filters
Applications of Analog Filters
Digital Filters
Two DSP Applications
Processing of EKG signals
Processing of Stock-Exchange Data
References
The Fourier Series and Fourier Transform
Introduction
Fourier Series
Definition
Particular Forms
Theorems and Properties
Fourier Transform
Derivation
Particular Forms
Theorems and Properties
References
Problems
The z Transform
Introduction
Definition of z Transform
Convergence Properties
The z Transform as a Laurent Series
Inverse z Transform
Theorems and Properties
Elementary Discrete-Time Signals
z-Transform Inversion Techniques
Use of Binomial Series
Use of Convolution Theorem
Use of Long Division
Use of Initial-Value Theorem
Use of Partial Fractions
Spectral Representation of Discrete-Time Signals
Frequency Spectrum
Periodicity of Frequency Spectrum
Interrelations
References
Problems
Discrete-Time Systems
Introduction
Basic System Properties
Linearity
Time Invariance
Causality
Characterization of Discrete-Time Systems
Nonrecursive Systems
Recursive Systems
Discrete-Time System Networks
Network Analysis
Implementation of Discrete-Time Systems
Signal Flow-Graph Analysis
Introduction to Time-Domain Analysis
Convolution Summation
Graphical Interpretation
Alternative Classification
Stability
State-Space Representation
Computability
Characterization
Time-Domain Analysis
Applications of State-Space Method
References
Problems
The Application of the z Transform
Introduction
The Discrete-Time Transfer Function
Derivation of H(z) from Difference Equation
Derivation of H(z) from System Network
Derivation of H(z) from State-Space Characterization
Stability
Constraint on Poles
Constraint on Eigenvalues
Stability Criteria
Test for Common Factors
Schur-Cohn Stability Criterion
Schur-Cohn-Fujiwara Stability Criterion
Jury-Marden Stability Criterion
Lyapunov Stability Criterion
Time-Domain Analysis
Frequency-Domain Analysis
Steady-State Sinusoidal Response
Evaluation of Frequency Response
Periodicity of Frequency Response
Aliasing
Frequency Response of Digital Filters
Transfer Functions for Digital Filters
First-Order Transfer Functions
Second-Order Transfer Functions
Higher-Order Transfer Functions
Amplitude and Delay Distortion
References
Problems
The Sampling Process
Introduction
Fourier Transform Revisited
Impulse Functions
Periodic Signals
Unit-Step Function
Generalized Functions
Interrelation Between the Fourier Series and the Fourier Transform
Poisson's Summation Formula
Impulse-Modulated Signals
Interrelation Between the Fourier and z Transforms
Spectral Relationship Between Discrete- and Continuous-Time Signals
The Sampling Theorem
Aliasing
Graphical Representation of Interrelations
Processing of Continuous-Time Signals Using Digital Filters
Practical A/D and D/A Converters
References
Problems
The Discrete Fourier Transform
Introduction
Definition
Inverse DFT
Properties
Linearity
Periodicity
Symmetry
Interrelation Between the DFT and the z Transform
Frequency-Domain Sampling Theorem
Time-Domain Aliasing
Interrelation Between the DFT and the CFT
Time-Domain Aliasing
Interrelation Between the DFT and the Fourier Series
Window Technique
Continuous-Time Windows
Discrete-Time Windows
Periodic Discrete-Time Windows
Application of Window Technique
Simplified Notation
Periodic Convolutions
Time-Domain Periodic Convolution
Frequency-Domain Periodic Convolution
Fast Fourier-Transform Algorithms
Decimation-in-Time Algorithm
Decimation-in-Frequency Algorithm
Inverse DFT
Application of the FFT Approach to Signal Processing
Overlap-and-Add Method
Overlap-and-Save Method
References
Problems
Realization of Digital Filters
Introduction
Realization
Direct Realization
Direct Canonic Realization
State-Space Realization
Lattice Realization
Cascade Realization
Parallel Realization
Transposition
Implementation
Design Considerations
Systolic Implementations
References
Problems
Design of Nonrecursive (FIR) Filters
Introduction
Properties of Constant-Delay Nonrecursive Filters
Impulse Response Symmetries
Frequency Response
Location of Zeros
Design Using the Fourier Series
Use of Window Functions
Rectangular Window
Von Hann and Hamming Windows
Blackman Window
Dolph-Chebyshev Window
Kaiser Window
Prescribed Filter Specifications
Other Windows
Design Based on Numerical-Analysis Formulas
References
Problems
Approximations for Analog Filters
Introduction
Basic Concepts
Characterization
Laplace Transform
The Transfer Function
Time-Domain Response
Frequency-Domain Analysis
Ideal and Practical Filters
Realizability Constraints
Butterworth Approximation
Derivation
Normalized Transfer Function
Minimum Filter Order
Chebyshev Approximation
Derivation
Zeros of Loss Function
Normalized Transfer Function
Minimum Filter Order
Inverse-Chebyshev Approximation
Normalized Transfer Function
Minimum Filter Order
Elliptic Approximation
Fifth-Order Approximation
Nth-Order Approximation (n Odd)
Zeros and Poles of L(-s[superscript 2])
Nth-Order Approximation (n Even)
Specification Constraint
Normalized Transfer Function
Bessel-Thomson Approximation
Transformations
Lowpass-to-Lowpass Transformation
Lowpass-to-Bandpass Transformation
References
Problems
Design of Recursive (IIR) Filters
Introduction
Realizability Constraints
Invariant Impulse-Response Method
Modified Invariant Impulse-Response Method
Matched-z Transformation Method
Bilinear-Transformation Method
Derivation
Mapping Properties of Bilinear Transformation
The Warping Effect
Digital-Filter Transformations
General Transformation
Lowpass-to-Lowpass Transformation
Lowpass-to-Bandstop Transformation
Application
Comparison Between Recursive and Nonrecursive Designs
References
Problems
Recursive (IIR) Filters Satisfying Prescribed Specifications
Introduction
Design Procedure
Design Formulas
Lowpass and Highpass Filters
Bandpass and Bandstop Filters
Butterworth Filters
Chebyshev Filters
Inverse-Chebyshev Filters
Elliptic Filters
Design Using the Formulas and Tables
Constant Group Delay
Delay Equalization
Zero-Phase Filters
Amplitude Equalization
References
Problems
Random Signals
Introduction
Random Variables
Probability-Distribution Function
Probability-Density Function
Uniform Probability Density
Gaussian Probability Density
Joint Distributions
Mean Values and Moments
Random Processes
Notation
First- and Second-Order Statistics
Moments and Autocorrelation
Stationary Processes
Frequency-Domain Representation
Discrete-Time Random Processes
Filtering of Discrete-Time Random Signals
References
Problems
Effects of Finite Word Length in Digital Filters
Introduction
Number Representation
Binary System
Fixed-Point Arithmetic
Floating-Point Arithmetic
Number Quantization
Coefficient Quantization
Low-Sensitivity Structures
Case I
Case II
Product Quantization
Signal Scaling
Method A
Method B
Types of Scaling
Application of Scaling
Minimization of Output Roundoff Noise
Application of Error-Spectrum Shaping
Limit-Cycle Oscillations
Quantization Limit Cycles
Overflow Limit Cycles
Elimination of Quantization Limit Cycles
Elimination of Overflow Limit Cycles
References
Problems
Design of Nonrecursive Filters Using Optimization Methods
Introduction
Problem Formulation
Lowpass and Highpass Filters
Bandpass and Bandstop Filters
Alternation Theorem
Remez Exchange Algorithm
Initialization of Extremals
Location of Maxima of the Error Function
Computation of [vertical bar]E([omega])[vertical bar] and P[subscript c]([omega])
Rejection of Superfluous Potential Extremals
Computation of Impulse Response
Improved Search Methods
Selective Step-by-Step Search
Cubic Interpolation
Quadratic Interpolation
Improved Formulation
Efficient Remez Exchange Algorithm
Gradient Information
Property 1
Property 2
Property 3
Property 4
Property 5
Prescribed Specifications
Generalization
Antisymmetrical Impulse Response and Odd Filter Length
Even Filter Length
Digital Differentiators
Problem Formulation
First Derivative
Prescribed Specifications
Arbitrary Amplitude Responses
Multiband Filters
References
Additional References
Problems
Design of Recursive Filters Using Optimization Methods
Introduction
Problem Formulation
Newton's Method
Quasi-Newton Algorithms
Basic Quasi-Newton Algorithm
Updating Formulas for Matrix S[subscript k+1]
Inexact Line Searches
Practical Quasi-Newton Algorithm
Minimax Algorithms
Improved Minimax Algorithms
Design of Recursive Filters
Objective Function
Gradient Information
Stability
Minimum Filter Order
Use of Weighting
Design of Recursive Delay Equalizers
References
Additional References
Problems
Wave Digital Filters
Introduction
Sensitivity Considerations
Wave Network Characterization
Element Realizations
Impedances
Voltage Sources
Series Wire Interconnection
Parallel Wire Interconnection
2-Port Adaptors
Transformers
Unit Elements
Circulators
Resonant Circuits
Realizability Constraint
Lattice Wave Digital Filters
Analysis
Alternative Lattice Configuration
Digital Realization
Ladder Wave Digital Filters
Filters Satisfying Prescribed Specifications
Frequency-Domain Analysis
Scaling
Elimination of Limit-Cycle Oscillations
Related Synthesis Methods
A Cascade Synthesis Based on the Wave Characterization
Generalized-Immittance Converters
Analog G-CGIC Configuration
Digital G-CGIC Configuration
Cascade Synthesis
Signal Scaling
Output Noise
Choice of Structure
References
Problems
Digital Signal Processing Applications
Introduction
Sampling-Frequency Conversion
Decimators
Interpolators
Sampling Frequency Conversion by a Noninteger Factor
Design Considerations
Quadrature-Mirror-Image Filter Banks
Operation
Elimination of Aliasing Errors
Design Considerations
Perfect Reconstruction
Hilbert Transformers
Design of Hilbert Transformers
Single-Sideband Modulation
Sampling of Bandpassed Signals
Adaptive Digital Filters
Wiener Filters
Newton Algorithm
Steepest-Descent Algorithm
Least-Mean-Square Algorithm
Recursive Filters
Applications
Two-Dimensional Digital Filters
Two-Dimensional Convolution
Two-Dimensional z Transform
Two-Dimensional Transfer Function
Stability
Frequency-Domain Analysis
Types of 2-D Filters
Approximations
Applications
References
Additional References
Problems
Complex Analysis
Introduction
Complex Numbers
Complex Arithmetic
De Moivre's Theorem
Euler's Formula
Exponential Form
Vector Representation
Spherical Representation
Functions of a Complex Variable
Polynomials
Inverse Algebraic Functions
Trigonometric Functions and Their Inverses
Hyperbolic Functions and Their Inverses
Multi-Valued Functions
Periodic Functions
Rational Algebraic Functions
Basic Principles of Complex Analysis
Limit
Differentiability
Analyticity
Zeros
Singularities
Zero-Pole Plots
Series
Laurent Theorem
Residue Theorem
Analytic Continuation
Conformal Transformations
References
Elliptic Functions
Introduction
Elliptic Integral of the First Kind
Elliptic Functions
Imaginary Argument
Formulas
Periodicity
Transformation
Series Representation
References
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