Discrete-Signal Analysis and Design

This introduction to discrete-signal analysis & design provides a step-by-step approach that allows electrical engineers to go beyond the traditional continuous-signal pencil and paper analysis and design.Specifically designed for easy individual at-home study as well as for classroom learning, the book requires only undergraduate level mathematics for understanding. The style of the book is conversational, with occasional re-examination and reinforcement of especially important basic concepts; throughout, the author includes complete self-study examples using full-page Mathcad Worksheets.The book includes a valuable, full-featured student version of Mathcad 14.0 which offers a sophisticated math tool for a wide range of applied mathematics capabilities. The software will remain useful long after readers have mastered the text.

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.

Preface	p. xi
Introduction	p. 1
Goals of the Book
Discrete Signals
Advantages of Discrete-Signal Analysis and Design
DFT and IDFT
Mathcad Program
MATLAB and Less Expensive Approaches
Multisim Program from National Instruments Co.
Mathtype Program
LabVIEW
Search Engines
Personal Productivity Software Capability
First Principles	p. 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]	p. 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	p. 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	p. 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 the Windows
Multiplication and Convolution	p. 77
Sequence Multiplication
Polynomial Multiplication
Convolution
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
Deconvolution
Probability and Correlation	p. 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
Variance
Gaussian (Normal) Distribution
Cumulative Distribution
Correlation and Covariance
Autocorrelation
Cross-Correlation
Autocovariance
Cross-Covariance
Correlation Coefficient
The Power Spectrum	p. 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	p. 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	p. 153
Discrete Derivative
State-Variable Solutions
Using the Discrete Derivative to Solve a Time Domain Discrete Differential Equation
Glossary	p. 163
Index	p. 171
Table of Contents provided by Ingram. All Rights Reserved.

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Discrete-Signal Analysis and Design

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