## Information theoryStudents of electrical engineering or applied mathematics can find no clearer presentation of the principles of information theory than this excellent introduction. After explaining the nature of information theory and its problems, the author examines a variety of important topics: information theory of discrete systems; properties of continuous signals; ergodic ensembles and random noise; entropy of continuous distributions; the transmission of information in band-limited systems having a continuous range of values; an introduction to the use of signal space; information theory aspects of modulation and noise reduction; and linear correlation, filtering, and prediction. Numerous problems appear throughout the text, many with complete solutions. 1953 ed. |

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### Contents

INFORMATION THEORY OF DISCREET SYSTEMS | 1 |

SOME PROPERTIES OF CONTINUOUS SIGNALS | 65 |

quency band does not start at zero | 75 |

Copyright | |

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### Common terms and phrases

alphabet amplitude amplitude modulation Appendix approximately auto-correlation auto-correlation function average power average quadiva average value bandwidth binits C. E. Shannon Chap code capacity code channel coherence consider cross-correlation desired signal determined different possible duration encoding English ensemble average ensemble of functions entropy power Equation ergodic ensemble ergodic sequence example expressed F(co finite fixed constraints foregoing formula Fourier transform frequency components frequency domain frequency modulation Gi(t given Hilbert transform independent information theory input signal intersymbol influence language information language transmission capacity large number limited linear liniva mean-square error modulation system noise reduction number of different number of possible occur output signal particular possible messages power spectrum prediction probability constraints probability distribution problem pulse quadratic content random noise range received signal sample points side of Eq signal space signal-to-noise ratio superimposed superposition Suppose tion transducer transmission system transmitted signal typical function zero