diigital modulation coding

✍ Scribed by Stephen G. Wilson

• Publisher: Prentice Hall
• Year: 1995
• Tongue: English
• Leaves: 686
• Edition: US ed
• Category: Library

✦ Synopsis

Covers all important topics in digital transmission at the intuitive level of physical systems. The presentation attempts to bridge the gap between communication practice and theory, emphasizing the interplay between modulation and coding and their receiver counterparts. KEY TOPICS: Emphasizes the engineering tradeoffs in signal design, energy and spectral properties of modulation choices, and receiver design aspects including synchronization. Presents expanded material on lattices and block coding theory and applications. Reed-Solomon and BCH encoding and decoding algorithms are treated at length along with applications to bandlimited Gaussian channels and fading channels.

✦ Table of Contents

Contents......Page 3
Ch1 Overview......Page 10
1.1.1 Sources, Channels & Limits to Communication......Page 12
1.1.2 Operations in Digital Transmission Pathway......Page 15
1.1.3 Modulation & Coding......Page 17
1.2 Historical Notes......Page 21
1.3 Outline of Book......Page 23
Bibliography......Page 24
Other Recommended Texts on Digital Transmission......Page 25
Ch2 Fundamental of Probability & Information Theory......Page 27
2.1 Probability......Page 28
2.1.1 Conditional Probability......Page 31
2.2 Random Variables: Discrete & Continuous......Page 33
2.2.1 Discrete Random Variables......Page 34
2.2.2 Continuous Random Variables......Page 36
2.2.3 Multidimensional Random Variables or Random Vectors......Page 42
2.2.4 Conditional Distributions & Densities......Page 44
2.2.5 Independence of Random Variables......Page 46
2.2.6 Transformations of Random Variables......Page 47
2.3 Expectations & Moments......Page 51
2.3.1 First & Second Moments......Page 52
2.3.2 Correlation & Covariance......Page 53
2.3.3 Characteristic Functions......Page 56
2.4.1 Bounds Based on First & Second Moments......Page 58
2.4.2 Chemoff Bounds......Page 59
2.4.3 Sequences, Sums & Laws of Large Numbers......Page 62
2.4.4 Central Limit Theorem......Page 64
2.5 Stochastic Processes......Page 66
2.5.1 Wide-Sense Stationality, Autocorrelation Function & Power Spectral Density......Page 69
2.5.2 Stochastic Processes in Linear Systems......Page 74
2.5.3 Time Averages versus Ensemble Averages......Page 76
2.5.4 Karhunen-Loeve Series Representation for Random Processes......Page 78
2.5.5 Markov Models......Page 82
2.6 Statistical Decision Theory......Page 85
2.6.1 Minimum Probability of Error Policies......Page 86
2.6.2 Irrelevant Data & Sufficient Statistics......Page 89
2.7 Concepts of Information Theory for Discrete Alphabets......Page 97
2.7.1 Entropy for Discrete Random Variables......Page 98
2.7.3 Mutual Information......Page 102
2.7.4 Discrete Channels & Channel Capacity......Page 104
2.7.5 Sequence Transmission......Page 107
2.7.6 Converse to Noisy Channel Coding Theorem......Page 109
2.8 Coding of Discrete Information Sources......Page 113
2.8.1 Block Source Codes......Page 114
2.8.2 Block- to Variable-Length Encoding......Page 116
2.8.3 Extensions to Discrete Markov Sources......Page 121
2.9 Information Theory for Continuous Random Variables & Processes......Page 122
2.9.1 Scalar Variable Case......Page 123
2.9.2 Vector Gaussian Channel Case......Page 126
2.9.3 Waveform Channel Case......Page 128
Bibliography......Page 132
Exercises......Page 134
Ch3 Modulation & Detection......Page 150
3.1 Transmission Model......Page 151
3.1.1 Digital Modulation......Page 152
3.1.2 Channel Filtering......Page 154
3.1.3 Channel Gain & Fading......Page 156
3.1.5 Model Limitations......Page 160
3.2 Signal Spaces......Page 161
3.2.1 Orthonormal Basis Sets......Page 162
3.2.2 M-ary Signal Constellations......Page 164
3.3 Single-Symbol Detection of Known Signals in AWGN......Page 170
3.3.1 Error Performance for General Binary Signals in AWGN......Page 180
3.3.2 Performance Bounds for M-ary Signaling......Page 184
3.3.3 Detection of M-ary Orthogonal, Biorthogonal & Simplex Modulation......Page 187
3.3.4 Detection of M-ary Phase Shift Keying (M-PSK)......Page 194
3.3.5 M-ary Amplitude Modulation & Quadrature Amplitude Modulation......Page 200
3.3.6 Multidimensional Lattice-Based Constellations for AWGN Channel......Page 205
3.3.7 Summary of Energy & Spectrum Efficiency of Modulation Techniques......Page 210
3.3.8 Extension to Single-Symbol Transmission on Nonideal Channels......Page 212
3.4 Noncoherent Demodulation of Carrier-Modulated Signals......Page 213
3.4.1 Structure of Optimal Noncoherent Demodulator......Page 214
3.4.2 Performance Analysis for Noncoherent Demodulation of Binary Orthogonal Signals......Page 220
3.4.3 Performance Analysis of Noncoherent Detection of M-ary Orthogonal Signals......Page 222
3.5 Phase Comparison or Differentially Coherent Demodulation of PSK......Page 225
3.5.1 Structure of Optimal Demodulator......Page 226
3.5.2 Performance Evaluation for M-DPSK......Page 229
3.6 Performance on Slow, Nonselective Rayleigh Fading Channel......Page 233
3.6.1 Binary Signaling with Rayleigh Fading......Page 234
3.6.2 M-ary Orthogonal Signaling with Noncoherent Detection......Page 239
3.6.3 M-ary PSK & DPSK......Page 240
3.7.1 Overview on Power Spectrum & Some Cautions......Page 242
3.7.2 Power Spectrum for General Memoryless Modulation......Page 244
3.7.3 Baseband Pulse-Amplitude Signaling......Page 247
3.7.4 Spectra for M-PSK and M-QAM Modulation......Page 250
3.7.5 Asympototic Bahavior of Power Spectrum; Rate of Dimensionality......Page 253
3.8 Spread-Sprectrum Modulation......Page 256
3.8.1 Direct Sequence Spread Spectrum......Page 257
3.8.2 Frequency-Hopping Spread Spectrum......Page 265
App3A1 Asymptotic Performance of M-ary Orthogonal Signals......Page 274
App3A2 Lattices......Page 277
App3A3 Derivation of Power Spectrum......Page 288
Bibliography......Page 293
Exercises......Page 295
Ch4 Channel Coding & its Potential......Page 309
4.1 Taxonomy of Codes......Page 310