principles of digital communication and coding pdf epub fb2

by andrew j viterbi

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The co-authors of Principles of Digital Communication and Coding are famous professionals who devoted their whole lives to studying digital communications. Even though the research work was created several decades ago (this is 1979 edition), its text is still considered classical and being extremely helpful for all students of this particular field as well as everyone who is interested in degital communications and wants to broad his/her knowledge in communications theory. The book is focused on such topics as channels, links, terminals, modems, or networks and their role in transmitting and receiving digital messages.

ISBN: B005K5X6RE

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...signal set, M, and the dimensionality, N, become large. It follows that, given the difficulty in analyzing specific signal sets, the search for the optimum for a given M and N is generally futile. Actually, the exit from this impasse was clearly indicated by Shannon [1948], who first employed the central technique of information theory now referred to, not very appropriately, as " random coding. " The basis of this technique is very simple: given that the calculation of the error probabilities for a particular set of M signal (or code) vectors of dimension N is not feasible, consider instead the average error probability over the ensemble of all possible sets of M signals with dimensionality N. A tight upper bound on this average over the entire ensemble 128 BLOCK CODE ENSEMBLE PERFORMANCE ANALYSIS 129 turns out to be amazingly simple to calculate. Obviously at least one signal set must have an error probability which is no greater than the ensemble average; hence the ensemble average...