AN ESTIMATION THEORY APPROACH TO PULSE AMPLITUDE MODULATION THEORY

Abstract

By generalizing a trivial problem in estimation theory, some interesting results were obtained for a class of pulse amplitude modulation (PAM) communication channels. A linear channel with memory perturbed by additive noise which is uncorrelated with the signal statistics is considered. For specified second-order statistics and a mean square error criterion, the Bayes estimation rule for the specific case of zero-mean Gaussian signal and noise statistics is both the best linear estimation rule and the minimax estimation rule. This fact is used in the theoretical design of sampled-data and continuous time receivers for such PAM systems. In the continuous time case with an infinite observation interval and stationary noise statistics, the receiver designed agrees with the optimum linear receiver previously derived for this case by Tufts using a different approach. The present analysis shows that Tufts's linear receiver is also the best nonlinear receiver in the minimax sense.

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Document Details

Document Type
Technical Report
Publication Date
Jan 05, 1965
Accession Number
AD0463887

Entities

People

  • Toby Berger

Organizations

  • Harvard University

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Communities of Interest

  • Counter IED

DTIC Thesaurus Topics

  • Abstracts
  • Amplitude
  • Amplitude Modulation
  • Communication Systems
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  • Contracts
  • Data Science
  • Equations
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  • Integral Equations
  • Military Research
  • Modulation
  • Probability
  • Pulse Amplitude
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Fields of Study

  • Engineering

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  • Electronics Engineering
  • Statistical inference.