## Coded Modulation SystemsCoded Modulation Systems is an introduction to the subject of coded modulation in digital communication. It is designed for classroom use and for anyone wanting to learn the ideas behind this modern kind of coding. Coded modulation is signal encoding that takes into account the nature of the channel over which it is used. Traditional error correcting codes work with bits and add redundant bits in order to correct transmission errors. In coded modulation, continuous time signals and their phases and amplitudes play the major role. The coding can be seen as a patterning of these quantities. The object is still to correct errors, but more fundamentally, it is to conserve signal energy and bandwidth at a given error performance. The book divides coded modulation into three major parts. Trellis coded modulation (TCM) schemes encode the points of QAM constellations; lattice coding and set-partition techniques play major roles here. Continuous-phase modulation (CPM) codes encode the signal phase, and create constant envelope RF signals. The partial-response signaling (PRS) field includes intersymbol interference problems, signals generated by real convolution, and signals created by lowpass filtering. In addition to these topics, the book covers coding techniques of several kinds for fading channels, spread spectrum and repeat-request systems. The history of the subject is fully traced back to the formative work of Shannon in 1949. Full explanation of the basics and complete homework problems make the book ideal for self-study or classroom use. |

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### Contents

Contents | 1 |

5 | 14 |

Coding and Information Theory 3 1 3 2 Introduction Paritycheck Codes | 75 |

3 | 76 |

6 | 88 |

SetpartitionCoding 4 1 4 2 Introduction BasicsofSetPartitioning | 133 |

7 | 135 |

8 | 219 |

9 | 246 |

7 | 363 |

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### Common terms and phrases

1REC 8PSK algorithm amplitude asymptotic autocorrelation AWGN AWGN channel bandwidth baseband binary bit error probability bound BPSK calculation capacity carrier channel coding Chapter code rate coded modulation codeword coding gain complex components convolutional codes CPFSK CPM signal data bit data symbols decoder defined denoted detection Digital encoder error event error rate estimate Euclidean distance example fading channels free distance frequency Gaussian given Hamming code Hamming distance IEEE Trans input interleaving intersymbol interference lattice linear codes linear modulation master constellation matched filter matrix minimum distance modulation index node noise optimal orthogonal pulses output pair parity-check codes phase plot points PRS coding QPSK Rayleigh fading receiver samples Section sequence shown in Fig shows sidelobes signal space spectral spectrum square distance subset selector tap set TCM code theorem transmission symbols transmitted trellis codes vector Viterbi width zero