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Continuous-Time Signals

By: Yuriy Shmaliy, Y. S. Shmaliy

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Hardcover | 11 August 2006

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Hardcover
372 Pages

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23.39 x 15.6 x 2.24

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Continuous-Time Signals is an extended description of continuous-time signals related to the course of Signals and Systems. As a time-varying process of any physical state of any object, which serves for representation, detection, and transmission of messages, a modern electrical signal possesses, in applications, many specific properties. To make possible for readers to deal with signals free, the book systematically covers major principle foundations of the signals theory. The representation of signals in the frequency domain (by Fourier transform) is considered with strong emphasis on how the spectral density of a single waveform becomes that of its burst and then the spectrum of its train. Different kinds of amplitude and angular modulations are analyzed noticing a consistency between the spectra of modulating and modulated signals. The energy and power presentation of signals is given along with their correlation properties. Finally, presenting the bandlimited and analytic signals, the book elucidates the methods of their description, transformation (by Hilbert transform), and sampling.

Industry Reviews

This is a nice book on signal processing in communication technology. Ideas are succinctly explained with simple examples and appealing mathematics. Almost all examples in the book are accompanied by illustrations. The material is well organized and the text is written readably. Chapter summaries are some of the compelling aspects of the book. Furthermore, end-of-chapter problems are well sorted and fit the themes that have been presented in their respective chapters. All the way, the book give glimpses of historical accounts by pointing to the originators and major contributors of signal processing and related areas.

At any rate, any one serious of doing signal processing should look into this book. In particular the brevity of the mathematics, the abundance of explanatory examples, etc., makes it accessible to readers at the advanced undergraduate level in the relevant field of studies. Surely, it can serve as a co-text or a reference for a course in signal processing.

Armin Hoffmann (Ilmenau)

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Science Digital Signal Processing (DSP)Engineering & Technology Electronics & Communications Engineering Communications Engineering & Telecommunications Energy Technology & Engineering Electrical Engineering Electronics Engineering Circuits & Components Other Technologies & Applied Sciences

Applied Optics Imaging Systems & Technology Microwave Technology

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Paperback

Published: 25th November 2010

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Introduction	p. 1
Signals Application in Systems	p. 1
Radars	p. 1
Sonar	p. 3
Remote Sensing	p. 3
Communications	p. 3
Global Positioning System	p. 5
Signals Classification	p. 7
Regularity	p. 8
Causality	p. 8
Periodicity	p. 9
Dimensionality	p. 10
Presentation Form	p. 11
Characteristics	p. 11
Spectral Width	p. 13
Power and Energy	p. 14
Orthogonality	p. 14
Basic Signals	p. 15
Unit Step	p. 16
Dirac Delta Function	p. 18
Exponential Signal	p. 23
Harmonic Signal	p. 25
Methods of Signals Presentation and Description	p. 26
Generalized Function as a Signal Model	p. 26
Linear Space of Signals	p. 28
Coordinate Basis	p. 29
Normed Linear Space	p. 29
Metric Spaces of Signals	p. 32
Signals Transformation in Orthogonal Bases	p. 34
Inner Product	p. 34
Orthogonal Signals	p. 36
Generalized Fourier Series	p. 36
Fourier Analysis	p. 37
Short-time Fourier Transform	p. 39
Wavelets	p. 40
Summary	p. 42
Problems	p. 43
Spectral Presentation of Signals	p. 47
Introduction	p. 47
Presentation of Periodic Signals by Fourier Series	p. 47
Fourier Series of a Periodic Signal	p. 48
Exponential Form of Fourier Series	p. 52
Gibbs Phenomenon	p. 55
Properties of Fourier Series	p. 55
Parseval's Relation for Periodic Signals	p. 59
Presentation of Single Pulses by Fourier Transform	p. 60
Spectral Presentation of Nonperiodic Signals	p. 60
Direct and Inverse Fourier Transforms	p. 61
Properties of the Fourier Transform	p. 63
Rayleigh's Theorem	p. 71
Spectral Densities of Simple Single Pulses	p. 72
Truncated Exponential Pulse	p. 73
Rectangular Pulse	p. 77
Triangular Pulse	p. 80
Sinc-shaped Pulse	p. 82
Gaussian Pulse	p. 84
Spectral Densities of Complex Single Pulses	p. 87
Complex Rectangular Pulse	p. 87
Trapezoidal Pulse	p. 89
Asymmetric Triangular Pulse	p. 93
Spectrums of Periodic Pulses	p. 96
Periodic Rectangular Pulse	p. 98
Triangular Pulse-train	p. 100
Periodic Gaussian Pulse	p. 101
Periodic Sinc-shaped Pulse	p. 103
Spectral Densities of Pulse-Bursts	p. 104
General Relations	p. 106
Rectangular Pulse-burst	p. 108
Triangular Pulse-burst	p. 110
Sinc Pulse-burst	p. 111
Pulse-to-burst-to-train Spectral Transition	p. 112
Spectrums of Periodic Pulse-bursts	p. 113
Rectangular Pulse-burst-train	p. 114
Triangular Pulse-burst-train	p. 116
Periodic Sinc Pulse-burst	p. 116
Signal Widths	p. 118
Equivalent Width	p. 118
Central Frequency and Mean Square Widths	p. 120
Signal Bandwidth	p. 122
Summary	p. 124
Problems	p. 125
Signals Modulation	p. 131
Introduction	p. 131
Types of Modulation	p. 132
Fundamentals	p. 132
Amplitude Modulation	p. 134
Simplest Harmonic AM	p. 135
General Relations with AM	p. 138
Carrier and Sideband Power of AM Signal	p. 140
Amplitude Modulation by Impulse Signals	p. 141
AM by a Rectangular Pulse	p. 141
Gaussian RF Pulse	p. 143
AM by Pulse-Bursts	p. 144
Amplitude Modulation by Periodic Pulses	p. 149
Spectrum of RF Signal with Periodic Impulse AM	p. 149
AM by Periodic Rectangular Pulse	p. 149
AM by Periodic Pulse-Burst	p. 150
Types of Analog AM	p. 152
Conventional AM with Double Sideband Large Carrier	p. 153
Synchronous Demodulation	p. 153
Asynchronous Demodulation	p. 155
Square-law Demodulation	p. 155
Double Sideband Suppressed Carrier	p. 156
Double Sideband Reduced Carrier	p. 157
Single Sideband	p. 158
SSB Formation by Filtering	p. 158
SSB Formation by Phase-Shift Method	p. 160
Quadrature Amplitude Modulation	p. 161
Vestigial Sideband Modulation	p. 163
Types of Impulse AM	p. 165
Pulse Amplitude Modulation	p. 165
Amplitude Shift Keying	p. 167
M-ary Amplitude Shift Keying	p. 168
Frequency Modulation	p. 168
Simplest FM	p. 169
Complex FM	p. 172
Analog Modulation of Frequency	p. 173
Linear Frequency Modulation	p. 174
Rectangular RF Pulse with LFM	p. 174
Spectral Density of a Rectangular RF Pulse with LFM	p. 175
RF LFM Pulses with Large PCRs	p. 178
Frequency Shift Keying	p. 182
Binary Frequency Shift Keying	p. 183
Multifrequency Shift Keying	p. 185
Phase Modulation	p. 185
Simplest PM	p. 186
Spectrum with Arbitrary Angle Deviation	p. 187
Signal Energy with Angular Modulation	p. 189
Phase Shift Keying	p. 190
RF Signal with Phase Keying	p. 190
Spectral Density of RF Signal with BPSK	p. 192
PSK by Barker Codes	p. 192
Differential PSK	p. 197
Summary	p. 197
Problems	p. 198
Signal Energy and Correlation	p. 201
Introduction	p. 201
Signal Power and Energy	p. 201
Energy Signals	p. 202
Power Signals	p. 209
Signal Autocorrelation	p. 211
Monopulse Radar Operation	p. 211
Energy Autocorrelation Function	p. 213
Properties of the Energy Autocorrelation Function	p. 215
Power Autocorrelation Function of a Signal	p. 217
Properties of the Power Autocorrelation Function	p. 218
Energy and Power Spectral Densities	p. 219
Energy Spectral Density	p. 219
Power Spectral Density	p. 224
A Comparison of Energy and Power Signals	p. 227
Single Pulse with LFM	p. 229
ESD Function of a Rectangular LFM Pulse	p. 229
Autocorrelation Function of a Rectangular LFM Pulse	p. 231
Complex Phase-Coded Signals	p. 235
Essence of Phase Coding	p. 236
Autocorrelation of Phase-Coded Pulses	p. 237
Barker Phase Coding	p. 239
Signal Cross-correlation	p. 241
Energy Cross-correlation of Signals	p. 241
Power Cross-correlation of Signals	p. 244
Properties of Signals Cross-correlation	p. 246
Width of the Autocorrelation Function	p. 249
Autocorrelation Width in the Time Domain	p. 249
Measure by the Spectral Density	p. 250
Equivalent Width of ESD	p. 251
Summary	p. 252
Problems	p. 252
Bandlimited Signals	p. 255
Introduction	p. 255
Signals with Bandlimited Spectrum	p. 256
Ideal Low-pass Signal	p. 256
Ideal Band-pass Signal	p. 256
Narrowband Signal	p. 258
Hilbert Transform	p. 263
Concept of the Analytic Signal	p. 263
Hilbert Transform	p. 266
Properties of the Hilbert transform	p. 269
Applications of the Hilbert Transform in Systems	p. 278
Analytic Signal	p. 283
Envelope	p. 284
Phase	p. 285
Instantaneous Frequency	p. 286
Hilbert Transform of Analytic Signals	p. 288
Interpolation	p. 290
Lagrange Form	p. 291
Newton Method	p. 294
Sampling	p. 295
Sampling Theorem	p. 296
Analog-to-digital Conversion	p. 303
Digital-to-analog Conversion	p. 306
Summary	p. 310
Problems	p. 312
Tables of Fourier Series and Transform Properties	p. 319
Tables of Fourier Series and Transform of Basis Signals	p. 323
Tables of Hilbert Transform and Properties	p. 327
Mathematical Formulas	p. 331
References	p. 337
Index	p. 339
Table of Contents provided by Ingram. All Rights Reserved.

Continuous-Time Signals

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Hardcover

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