Discrete-Signal Analysis and Design / Edition 1

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This book provides an introduction to discrete-time and discrete-frequency signal processing, which is rapidly becoming an important, modern way to design and analyze electronics projects of all kinds. It presents discretesignal processing concepts from the perspective of an experienced electronics or radio engineer, which is especially meaningful for practicing engineers, technicians, and students. The approach is almost entirely mathematical, but at a level that is suitable for undergraduate curriculums and also for independent, at-home study using a personal computer.

Coverage includes: First principles, including the Discrete Fourier Transform (DFT), Sine, cosine, and theta, Spectral leakage and aliasing, Smoothing and windowing, Multiplication and convolution, Probability and correlation, Power spectrum, Hilbert transform.

The accompanying CD-ROM includes Mathcad v.14 Academic Edition, which is reproduced with permission and has no time limitation for use, providing users with a sophisticated and world-famous tool for a wide range of applied mathematics capabilities.

Discrete-Signal Analysis and Design is written in an easy-to-follow, conversational style and supplies readers with a solid foundation for more advanced literature and software. It employs occasional re-examination and reinforcement of particularly important concepts, and each chapter contains self-study examples and full-page Mathcad Worksheets, worked-out and fully explained.

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Editorial Reviews

From the Publisher

“Discrete-Signal analysis and Design is written in an easy-to-follow, conversational style and supplies readers with a solid foundation for more advanced literature and software. It employs the occasional re-examination and reinforcement of particularly important concepts and each chapter contains self-study examples and full-page Mathcad Worksheets, worked-out and fully explained.” (International Journal Microstructure & Materials Properties, 2009)

"This volume is valuable for students, academic libraries, mathematicians, and working professionals, especially Mathead users." (CHOICE, August 2008)

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Product Details

  • ISBN-13: 9780470187777
  • Publisher: Wiley
  • Publication date: 1/10/2008
  • Edition number: 1
  • Pages: 174
  • Product dimensions: 6.46 (w) x 9.49 (h) x 0.73 (d)

Meet the Author

William E. Sabin, MSEE, Life Member IEEE, has worked at a professional engineering level in the electronics industry for forty years in almost all areas of signal processing, including analog, discrete, and digital. He has coedited three books on the subject of radio systems and circuits and is the author of about forty technical articles in electronics journals.

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Table of Contents

Preface     xi
Introduction     1
Goals of the Book
Discrete Signals
Advantages of Discrete-Signal Analysis and Design
Mathcad Program
MATLAB and Less Expensive Approaches
Multisim Program from National Instruments Co.
Mathtype Program
Search Engines
Personal Productivity Software Capability
First Principles     9
Sequence Structure in the Time and Frequency Domains
Two-Sided Time and Frequency
Discrete Fourier Transform
Inverse Discrete Fourier Transform
Frequency and Time Scaling
Number of Samples
Complex Frequency-Domain Sequences
x(n) Versus Time and X(k) Versus Frequency
Sine, Cosine, and [theta]     27
One-Sided Sequences
Combinations of Two-Sided Phasors
Time and Spectrum Transformations
Transforming Two-Sided Phasor Sequences into One-Sided Sine, Cosine, [theta]
Example 2-1: Nonlinear Amplifier Distortion and Square Law Modulator
Example 2-2: Analysis of the Ramp Function
Spectral Leakage and Aliasing     43
Spectral Leakage. Noninteger Values of Time x(n) and Frequency X(k)
Example 3-1: Frequency Scaling to Reduce Leakage
Aliasing in the Frequency Domain
Example 3-2: Analysis of Frequency-Domain Aliasing
Aliasing in the Time Domain
Smoothing and Windowing     61
Smoothing the Rectangular Window, Without Noise and with Noise
Smoothed Sequences Near the Beginning and End
Rectangular Window
Hamming Window
Hanning (Hann) Window
Relative Merits of the Three Windows
Scaling theWindows
Multiplication and Convolution     77
Sequence Multiplication
Polynomial Multiplication
Discrete Convolution Basic Equation
Relating Convolution to Polynomial Multiplication
"Fold and Slide" Concept
Circular Discrete Convolution (Try to Avoid)
Sequence Time and Phase Shift
DFT and IDFT of Discrete Convolution
Fig. 5-6. Compare Convolution and Multiplication
Probability and Correlation     95
Properties of a Discrete Sequence
Expected Value of x(n)
Include Some Additive Noise
Envelope Detection of Noisy Sequence
Average Power of Noiseless Sequence
Power of Noisy Sequence
Sequence Averaging
Gaussian (Normal) Distribution
Cumulative Distribution
Correlation and Covariance
Correlation Coefficient
The Power Spectrum     113
Finding the Power Spectrum
Two-Sided Phasor Spectrum, One-Sided Power Spectrum
Example 7-1: The Use of Eq. (7-2)
Random Gaussian Noise Spectrum
Measuring the Power Spectrum
Spectrum Analyzer Example
Wiener-Khintchine Theorem
System Power Transfer
Cross Power Spectrum
Example of Calculating Phase Noise
The Hilbert Transform     129
The Perfect Hilbert Transformer
Example of a Hilbert Transform of an Almost-Square Wave
Smoothing of the Example
Peaks in Hilbert of Square Wave
Mathematics of the Hilbert Transform
Analytic Signal
Example 8-2: Construction of Analytic Signal
Single-Sideband RF Signals
SSB Design
Basic All-Pass Network
-90[degree] Cascaded Phase Shift Audio Network
Why the -90[degree] Network Is Not Equivalent to a Hilbert Transformer
Phasing Method SSB Transmitter
Filter Method SSB Transmitter
Phasing Method SSB Receiver
Filter Method SSB Receiver
Additional Discrete-Signal Analysis and Design Information     153
Discrete Derivative
State-Variable Solutions
Using the Discrete Derivative to Solve a Time Domain Discrete Differential Equation
Glossary     163
Index     171
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Sort by: Showing 1 Customer Reviews
  • Anonymous

    Posted April 5, 2008

    Introduction to title subject

    This book is an excellent introduction to an interesting modern and useful topic that is oriented to electronics engineering students and advanced technicians. The Mathcad ROM is outstanding math software.

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