## A nonlinear communication system that conserves bandwidth |

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### Contents

A NONLINEAR COMMUNICATION SYSTEM | 6 |

DERIVATION OF A GENERAL EQUATION FOR THE EXPANDER | 10 |

THE TRANSFORMATION OF A UNIFORM DISTRIBUTION TO | 22 |

1 other sections not shown

### Common terms and phrases

2.1 A Nonlinear 2n break points amplitude distribution assumed asymptotic asymptotic expansion asymptotic series chapter compander Conserves Bandwidth Cornell University demodulator derived desired amplitude statistics distributed random variable easily shown evaluated expander and mean expander is given expression for G(r Function Of M/2c gaussian process given compressor Icol improvement in mean inverse compressor inverse operation Linear Model linearly independent loss of information mean squared error MEMORYLESS COMPRESSOR MEMORYLESS EXPANDER minimize the mean modulation noise is small noise variance NONLINEAR COMMUNICATION SYSTEM Nonlinear Signal Processor nonlinear system nonlinear transformation Nu(r odd function oo G(r optimum compressor optimum expander p_(r pD(r performs the inverse piecewise linear transformation PN(r power constraint PR(r probability density function Shannon sampling theorem Simplified System Model small noise spreading the bandwidth statistically independent Taylor series techniques thesis transformation with 2n uniformly distributed random upper bound values variance is small zero mean