Digital Modulation & Coding

Contents......Page 2
Ch1 Overview......Page 9
1.1.1 Sources, Channels & Limits to Communication......Page 11
1.1.2 Operations in Digital Transmission Pathway......Page 14
1.1.3 Modulation & Coding......Page 16
1.2 Historical Notes......Page 20
1.3 Outline of Book......Page 22
Bibliography......Page 23
Other Recommended Texts on Digital Transmission......Page 24
Ch2 Fundamental of Probability & Information Theory......Page 26
2.1 Probability......Page 27
2.1.1 Conditional Probability......Page 30
2.2 Random Variables: Discrete & Continuous......Page 32
2.2.1 Discrete Random Variables......Page 33
2.2.2 Continuous Random Variables......Page 35
2.2.3 Multidimensional Random Variables or Random Vectors......Page 41
2.2.4 Conditional Distributions & Densities......Page 43
2.2.5 Independence of Random Variables......Page 45
2.2.6 Transformations of Random Variables......Page 46
2.3 Expectations & Moments......Page 50
2.3.1 First & Second Moments......Page 51
2.3.2 Correlation & Covariance......Page 52
2.3.3 Characteristic Functions......Page 55
2.4.1 Bounds Based on First & Second Moments......Page 57
2.4.2 Chemoff Bounds......Page 58
2.4.3 Sequences, Sums & Laws of Large Numbers......Page 61
2.4.4 Central Limit Theorem......Page 63
2.5 Stochastic Processes......Page 65
2.5.1 Wide-Sense Stationality, Autocorrelation Function & Power Spectral Density......Page 68
2.5.2 Stochastic Processes in Linear Systems......Page 73
2.5.3 Time Averages versus Ensemble Averages......Page 75
2.5.4 Karhunen-Loeve Series Representation for Random Processes......Page 77
2.5.5 Markov Models......Page 81
2.6 Statistical Decision Theory......Page 84
2.6.1 Minimum Probability of Error Policies......Page 85
2.6.2 Irrelevant Data & Sufficient Statistics......Page 88
2.7 Concepts of Information Theory for Discrete Alphabets......Page 96
2.7.1 Entropy for Discrete Random Variables......Page 97
2.7.3 Mutual Information......Page 101
2.7.4 Discrete Channels & Channel Capacity......Page 103
2.7.5 Sequence Transmission......Page 106
2.7.6 Converse to Noisy Channel Coding Theorem......Page 108
2.8 Coding of Discrete Information Sources......Page 112
2.8.1 Block Source Codes......Page 113
2.8.2 Block- to Variable-Length Encoding......Page 115
2.8.3 Extensions to Discrete Markov Sources......Page 120
2.9 Information Theory for Continuous Random Variables & Processes......Page 121
2.9.1 Scalar Variable Case......Page 122
2.9.2 Vector Gaussian Channel Case......Page 125
2.9.3 Waveform Channel Case......Page 127
Bibliography......Page 131
Exercises......Page 133
Ch3 Modulation & Detection......Page 149
3.1 Transmission Model......Page 150
3.1.1 Digital Modulation......Page 151
3.1.2 Channel Filtering......Page 153
3.1.3 Channel Gain & Fading......Page 155
3.1.5 Model Limitations......Page 159
3.2 Signal Spaces......Page 160
3.2.1 Orthonormal Basis Sets......Page 161
3.2.2 M-ary Signal Constellations......Page 163
3.3 Single-Symbol Detection of Known Signals in AWGN......Page 169
3.3.1 Error Performance for General Binary Signals in AWGN......Page 179
3.3.2 Performance Bounds for M-ary Signaling......Page 183
3.3.3 Detection of M-ary Orthogonal, Biorthogonal & Simplex Modulation......Page 186
3.3.4 Detection of M-ary Phase Shift Keying (M-PSK)......Page 193
3.3.5 M-ary Amplitude Modulation & Quadrature Amplitude Modulation......Page 199
3.3.6 Multidimensional Lattice-Based Constellations for AWGN Channel......Page 204
3.3.7 Summary of Energy & Spectrum Efficiency of Modulation Techniques......Page 209
3.3.8 Extension to Single-Symbol Transmission on Nonideal Channels......Page 211
3.4 Noncoherent Demodulation of Carrier-Modulated Signals......Page 212
3.4.1 Structure of Optimal Noncoherent Demodulator......Page 213
3.4.2 Performance Analysis for Noncoherent Demodulation of Binary Orthogonal Signals......Page 219
3.4.3 Performance Analysis of Noncoherent Detection of M-ary Orthogonal Signals......Page 221
3.5 Phase Comparison or Differentially Coherent Demodulation of PSK......Page 224
3.5.1 Structure of Optimal Demodulator......Page 225
3.5.2 Performance Evaluation for M-DPSK......Page 228
3.6 Performance on Slow, Nonselective Rayleigh Fading Channel......Page 232
3.6.1 Binary Signaling with Rayleigh Fading......Page 233
3.6.2 M-ary Orthogonal Signaling with Noncoherent Detection......Page 238
3.6.3 M-ary PSK & DPSK......Page 239
3.7.1 Overview on Power Spectrum & Some Cautions......Page 241
3.7.2 Power Spectrum for General Memoryless Modulation......Page 243
3.7.3 Baseband Pulse-Amplitude Signaling......Page 246
3.7.4 Spectra for M-PSK and M-QAM Modulation......Page 249
3.7.5 Asympototic Bahavior of Power Spectrum; Rate of Dimensionality......Page 252
3.8 Spread-Sprectrum Modulation......Page 255
3.8.1 Direct Sequence Spread Spectrum......Page 256
3.8.2 Frequency-Hopping Spread Spectrum......Page 264
App3A1 Asymptotic Performance of M-ary Orthogonal Signals......Page 273
App3A2 Lattices......Page 276
App3A3 Derivation of Power Spectrum......Page 287
Bibliography......Page 292
Exercises......Page 294
Ch4 Channel Coding & its Potential......Page 308
4.1 Taxonomy of Codes......Page 309