## Digital Phase ModulationThe last ten years have seen a great flowering of the theory of digital data modulation. This book is a treatise on digital modulation theory, with an emphasis on these more recent innovations. It has its origins in a collabor ation among the authors that began in 1977. At that time it seemed odd to us that the subjects of error-correcting codes and data modulation were so separated; it seemed also that not enough understanding underlay the mostly ad hoc approaches to data transmission. A great many others were intrigued, too, and the result was a large body of new work that makes up most of this book. Now the older disciplines of detection theory and coding theory have been generalized and applied to the point where it is hard to tell where these end and the theories of signal design and modulation begin. Despite our emphasis on the events of the last ten years, we have included all the traditional topics of digital phase modulation. Signal space concepts are developed, as are simple phase-shift-keyed and pulse-shaped modulations; receiver structures are discussed, from the simple linear receiver to the Viterbi algorithm; the effects of channel filtering and of hardlimiting are described. The volume thus serves well as a pedagogical book for research engineers in industry and second-year graduate students in communications engineering. The production of a manageable book required that many topics be left out. |

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### Contents

Introduction I | 1 |

References | 14 |

References | 53 |

Spectral Performance | 147 |

References | 179 |

References | 209 |

References | 234 |

References | 276 |

References | 353 |

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### Common terms and phrases

AMF receiver asymptotically optimum Aulin AWGN bandpass filter bandwidth baseband binary 1REC BPSK calculated carrier channel Chapter combination components Conference Record Continuous Phase Modulation convolutional codes convolutional encoder corresponding CPFSK modulation CPFSK scheme CPM schemes CPM signal d2min data symbols decoder detector difference sequence digital phase modulation energy error event error performance Euclidean distance frequency pulse function Gaussian given h values IEEE IEEE Trans IEEE Transactions linear M-ary mapping rule matched filter maximum likelihood merger method minimum distance minimum Euclidean distance modulation index multi-/i noise noncoherent observation interval optimal optimum filter optimum receiver parallel receiver phase error phase trajectories phase tree QPSK quadrature quaternary Section serial receiver SFCPM shown in Figure shows signal space Simulated spectral suboptimum Sundberg symbol error probability symbol interval synchronizer Transactions on Communications transmission transmitted signal trellis upper bound vector Viterbi algorithm zero