Accession Number:

AD0614110

Title:

DIGITAL COMMUNICATION OVER FIXED TIMECONTINUOUS CHANNELS WITH MEMORY, WITH SPECIAL APPLICATION TO TELEPHONE CHANNELS,

Descriptive Note:

Corporate Author:

MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB

Personal Author(s):

Report Date:

1964-10-20

Pagination or Media Count:

128.0

Abstract:

The channel model assumed is a linear, time-invariant filter followed by additive, colored Gaussian noise. A general problem formulation is introduced which involves use of this channel once for T seconds to communicate one of M signals. Two questions are considered 1 given a set of signals, what is the probability of error. and 2 how should these signals be selected to minimize the probability of error. It is shown that answers to these questions are possible when a suitable vector space representation is used, and the basis functions required for this representation are presented. Using this representation and the random coding technique, a bound on the probability of error for a random ensemble of signals is determined and the structure of the ensemble of signals yielding a minimum error bound is derived. The interrelation of coding and modulation in this analysis is discussed and it is concluded that 1 the optimum ensemble of signals involves an impractical modulation technique, and 2 the error bound for the optimum ensemble of signals provides a best possible result against which more practical modulation techniques may be compared. Author

Subject Categories:

  • Cybernetics
  • Non-Radio Communications

Distribution Statement:

APPROVED FOR PUBLIC RELEASE