Отправлено CAP 19 сентября 2003 г. 16:41

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Contents

3 Equalization 139

3.1 Intersymbol Interference and Receivers for Successive Message Transmission .. 141
3.1.1 Transmission of Successive Messages ................... 141
3.1.2 Bandlimited Channels .................................. 142
3.1.3 The ISI-Channel Model ................................. 147
3.1.4 Receiver Signal-to-Noise Ratio ........................ 152
3.1.5 The Matched-Filter Bound .............................. 155
3.2 Nyquist's Criterion ..................................... 158
3.2.1 Vestigial Symmetry .................................... 159
3.2.2 Raised Cosine Pulses .................................. 160
3.2.3 Square-Root Splitting of the Nyquist Pulse ............ 162
3.3 Linear Zero-Forcing Equalization ........................ 163
3.3.1 Performance Analysis of the ZFE ....................... 163
3.3.2 Noise Enhancement ..................................... 165
3.4 Minimum Mean-Square Error Linear Equalization ........... 173
3.4.1 Optimization of the Linear Equalizer .................. 173
3.4.2 Performance of the MMSE-LE ............................ 174
3.4.3 Examples Revisited .................................... 176
3.4.4 Fractionally Spaced Equalization .......................
3.5 Decision Feedback Equalization ......................... 186
3.5.1 Minimum Mean-Square-Error Decision Feedback Equalizer (MMSE-DFE).... 186
3.5.2 Performance Analysis of the MMSE-DFE .................. 188
3.5.3 Zero-Forcing DFE ...................................... 190
3.5.4 Examples Revisited .................................... 191
3.6 Finite Length Equalizers ............................... 195
3.6.1 FIR MMSE-LE ........................................... 195
3.6.2 FIR ZFE ............................................... 198
3.6.3 example ............................................... 199
3.6.4 FIR MMSE-DFE .......................................... 200
3.6.5 An Alternative Approach to the DFE .................... 205
3.6.6 Error Propagation in the DFE .......................... 207
3.7 Preceding ............................................... 211
3.7.1 The Tomlinson Precoder ................................ 211
3.7.2 Partial Response Channel Models ....................... 216
3.7.3 Classes of Partial Response ........................... 218
3.7.4 Simple Preceding ...................................... 221
3.7.5 General Preceding ..................................... 225
3.7.6 Quadrature PR ......................................... 226
3.8 Diversity Equalization .................................. 229
3.8.1 Multiple Received Signals and the RAKE ............... 229
3.8.2 Infinite-length MMSE Equalization Structures .......... 231
3.8.3 Finite-length Multidimensional Equalizers ............. 232
3.9 Adaptive Equalization ................................... 233
3.9.1 The LMS algorithm for Adaptive Equalization ........... 233
Exercises - Chapter 3 ....................................... 235
A Useful Results in Linear Minimum Mean-Square Estimation 251
A.I The Orthogonality Principle ............................. 251
A.2 Spectral Factorization .................................. 252
A.2.1 Cholesky Factorization ................................ 253
A.3 Equalization for Partial Response ....................... 258
A.3.1 Controlled ISI with the DFE ........................... 258
A.3.2 Equalization with Fixed Partial Response -B(-D) ....... 260