## 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. |

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alphabet ampliﬁer amplitude amplitude modulation Appendix approximately auto-correlation auto-correlation function average power average quadiva average value bandwidth binits Chap code capacity code channel coherence consider cross-correlation deﬁned deﬁnition desired signal determined different possible duration encoding English ensemble average ensemble of functions entropy power Equation ergodic ensemble ergodic sequence example ﬁlter ﬁnd ﬁnite ﬁrst ﬁxed constraints foregoing formula Fourier series Fourier transform frequency components frequency domain frequency modulation given Hilbert transform inﬁnite information theory input signal intersymbol inﬂuence language information language transmission capacity large number liniva modulation system noise reduction number of different number of possible occur output signal particular physically realizable ﬁlter possible messages power spectrum prediction probability constraints probability distribution problem pulse quadratic content random noise range sample points side of Eq signal space signal-to-noise ratio signiﬁcance speciﬁed superimposed superposition Suppose tion transducer transmission system typical function Unabridged republication zero