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Understanding Digital Signal Processing

by: Lyons, Richard G.

Understanding Digital Signal Processing

by: Lyons, Richard G.

ISBN 13:
9780201634679
ISBN 10:
0201634678
Edition: 2nd
Format: Hardcover
Copyright: 01/01/2004
Publisher: Prentice Hall
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Summary

Understanding Digital Signal Processing presents both the theory and application of DSP in an approachable manner, using graphical examples and clear explanations. The book illustrates the techniques using practical examples and provides a comprehensive discussion of the important topics of periodic sampling and discrete Fourier transforms.

Preface	p. xi
Discrete Sequences and Systems	p. 1
Discrete Sequences and Their Notation	p. 2
Signal Amplitude, Magnitude, Power	p. 8
Signal Processing Operational Symbols	p. 9
Introduction to Discrete Linear Time-Invariant Systems	p. 12
Discrete Linear Systems	p. 12
Time-Invariant Systems	p. 17
The Commutative Property of Linear Time-Invariant Systems	p. 18
Analyzing Linear Time-Invariant Systems	p. 19
Periodic Sampling	p. 21
Aliasing: Signal Ambiquity in the Frequency Domain	p. 21
Sampling Low-Pass Signals	p. 26
Sampling Bandpass Signals	p. 30
Spectral Inversion in Bandpass Sampling	p. 39
The Discrete Fourier Transform	p. 45
Understanding the DFT Equation	p. 46
DFT Symmetry	p. 58
DFT Linearity	p. 60
DFT Magnitudes	p. 61
DFT Frequency Axis	p. 62
DFT Shifting Theorem	p. 63
Inverse DFT	p. 65
DFT Leakage	p. 66
Windows	p. 74
DFT Scalloping Loss	p. 82
DFT Resolution, Zero Padding, and Frequency-Domain Sampling	p. 83
DFT Processing Gain	p. 88
The DFT of Rectangular Functions	p. 91
The DFT Frequency Response to a Complex Input	p. 112
The DFT Frequency Response to a Real Cosine Input	p. 116
The DFT Single-Bin Frequency Response to a Real Cosine Input	p. 117
Interpreting the DFT	p. 120
The Fast Fourier Transform	p. 125
Relationship of the FFT to the DFT	p. 126
Hints on Using FFTs in Practice	p. 127
FFT Software Programs	p. 131
Derivation of the Radix-2 FFT Algorithm	p. 132
FFT Input/Output Data Index Bit Reversal	p. 139
Radix-2 FFT Butterfly Structures	p. 141
Finite Impulse Response Filters	p. 151
An Introduction to Finite Impulse Response FIR Filters	p. 152
Convolution in FIR Filters	p. 157
Low-Pass FIR Filter Design	p. 167
Bandpass FIR Filter Design	p. 183
Highpass FIR Filter Design	p. 184
Remez Exchange FIR Filter Design Method	p. 186
Half-Band FIR Filters	p. 188
Phase Response of FIR Filters	p. 190
A Generic Description of Discrete Convolution	p. 195
Infinite Impulse Response Filters	p. 211
An Introduction to Infinite Impulse Response Filters	p. 212
The Laplace Transform	p. 215
The z-Transform	p. 228
Impulse Invariance IIR Filter Design Method	p. 243
Bilinear Transform IIR Filter Design Method	p. 259
Optimized IIR Filter Design Method	p. 270
Pitfalls in Building IIR Digital Filters	p. 272
Improving IIR Filters with Cascaded Structures	p. 274
A Brief Comparison of IIR and FIR Filters	p. 279
Specialized Lowpass Fir Filters	p. 283
Frequency Sampling Filters: The Lost Art	p. 284
Interpolated Lowpass FIR Filters	p. 319
Quadrature Signals	p. 335
Why Care About Quadrature Signals	p. 336
The Notation of Complex Numbers	p. 336
Representing Real Signals Using Complex Phasors	p. 342
A Few Thoughts on Negative Frequency	p. 346
Quadrature Signals in the Frequency Domain	p. 347
Bandpass Quadrature Signals in the Frequency Domain	p. 350
Complex Down-Conversion	p. 352
A Complex Down-Conversion Example	p. 354
An Alternate Down-Conversion Method	p. 358
The Discrete Hilbert Transform	p. 361
Hilbert Transform Definition	p. 362
Why Care About the Hilbert Transform?	p. 364
Impulse Response of a Hilbert Transformer	p. 369
Designing a Discrete Hilbert Transformer	p. 371
Time-Domain Analytic Signal Generation	p. 377
Comparing Analytical Signal Generation Methods	p. 379
Sample Rate Conversion	p. 381
Decimation	p. 382
Interpolation	p. 387
Combining Decimation and Interpolation	p. 389
Polyphase Filters	p. 391
Cascaded Integrator-Comb Filters	p. 397
Signal Averaging	p. 411
Coherent Averaging	p. 412
Incoherent Averaging	p. 419
Averaging Multiple Fast Fourier Transforms	p. 422
Filtering Aspects of Time-Domain Averaging	p. 430
Exponential Averaging	p. 432
Digital Data Formats and Their Effects	p. 439
Fixed-Point Binary Formats	p. 439
Binary Number Precision and Dynamic Range	p. 445
Effects of Finite Fixed-Point Binary Word Length	p. 446
Floating-Point Binary Formats	p. 462
Block Floating-Point Binary Format	p. 468
Digital Signal Processing Tricks	p. 471
Frequency Translation without Multiplication	p. 471
High-Speed Vector-Magnitude Approximation	p. 479
Frequency-Domain Windowing	p. 484
Fast Multiplication of Complex Numbers	p. 487
Efficiently Performing the FFT of Real Sequences	p. 488
Computing the Inverse FFT Using the Forward FFT	p. 500
Simplified FIR Filter Structure	p. 503
Reducing A/D Converter Quantization Noise	p. 503
A/D Converter Testing Techniques	p. 510
Fast FIR Filtering Using the FFT	p. 515
Generating Normally Distributed Random Data	p. 516
Zero-Phase Filtering	p. 518
Sharpened FIR Filters	p. 519
Interpolating a Bandpass Signal	p. 521
Spectral Peak Location Algorithm	p. 523
Computing FFT Twiddle Factors	p. 525
Single Tone Detection	p. 528
The Sliding DFT	p. 532
The Zoom FFT	p. 541
A Practical Spectrum Analyzer	p. 544
An Efficient Arctangent Approximation	p. 547
Frequency Demodulation Algorithms	p. 549
DC Removal	p. 552
Improving Traditional CIC Filters	p. 556
Smoothing Impulsive Noise	p. 561
Efficient Polynomial Evaluation	p. 563
Designing Very High-Order FIR Filters	p. 564
Time-Domain Interpolation Using the FFT	p. 568
Frequency Translation Using Decimation	p. 571
Automatic Gain Control (AGC)	p. 571
Approximate Envelope Detection	p. 574
A Quadrature Oscillator	p. 576
Dual-Mode Averaging	p. 578
The Arithmetic of Complex Numbers	p. 585
Graphical Representation of Real and Complex Numbers	p. 585
Arithmetic Representation of Complex Numbers	p. 586
Arithmetic Operations of Complex Numbers	p. 588
Some Practical Implications of Using Complex Numbers	p. 593
Closed Form of a Geometric Series	p. 595
Time Reversal and the DFT	p. 599
Mean, Variance, and Standard Deviation	p. 603
Statistical Measures	p. 603
Standard Deviation, or RMS, of a Continuous Sinewave	p. 606
The Mean and Variance of Random Functions	p. 607
The Normal Probability Density Function	p. 610
Decibels (DB and DBM)	p. 613
Using Logarithms to Determine Relative Signal Power	p. 613
Some Useful Decibel Numbers	p. 617
Absolute Power Using Decibels	p. 619
Digital Filter Terminology	p. 621
Frequency Sampling Filter Derivations	p. 633
Frequency Response of a Comb Filter	p. 633
Single Complex FSF Frequency Response	p. 634
Multisection Complex FSF Phase	p. 635
Multisection Complex FSF Frequency Response	p. 636
Real FSF Transfer Function	p. 638
Type-IV FSF Frequency Response	p. 640
Frequency Sampling Filter Design Tables	p. 643
Index	p. 657
About the Author	p. 667
Table of Contents provided by Rittenhouse. All Rights Reserved.

Amazon no longer offers textbook rentals. We do!

Understanding Digital Signal Processing

Understanding Digital Signal Processing

9780201634679

0201634678

Summary

Author Biography

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Understanding Digital Signal Processing

Understanding Digital Signal Processing

9780201634679

0201634678

Summary

Author Biography

Table of Contents

Supplemental Materials

Write a Review

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