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. |
Contents
INFORMATION THEORY OF DISCRETE SYSTEMS | 1 |
SOME PROPERTIES OF CONTINUOUS SIGNALS | 65 |
ERGODIC ENSEMBLES AND RANDOM NOISE | 85 |
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Common terms and phrases
alphabet amplitude Appendix approximately average information average quadiva average value bandwidth binits Chap code capacity code channel coherent consider correlation cross-correlation desired signal duration encoding English ensemble average ensemble of functions entropy power equal Equation ergodic ensemble ergodic sequence ergodic system error example expressed filter finite fixed constraints foregoing formula Fourier Fourier series frequency domain frequency modulation G₁(t gaussian noise given Hilbert transform Hz(y impulse independent information theory intersymbol influence language transmission capacity large number limited linear liniva maximum entropy mean-square modulation noise reduction number of different number of possible occur output signal particular physically realizable power spectrum prediction probability constraints probability distribution pulse quadratic content random noise rate of transmission ratio received signal sample points shown signal-to-noise ratio superimposed superposition Suppose tion transducer transform transmission of information transmitted signal typical function variables zero ηπ Σπη ΣΡ
References to this book
Mathematical Foundations of Information Theory Aleksandr I?Akovlevich Khinchin No preview available - 1957 |