Detection of a PSK Signal Transmitted Through a Hard-Limited Channel

Abstract

This paper considers the problem of the detection of a binary phase-modulated carrier which has been transmitted along with noise through a hard-limiting repeater, corrupted by additional noise, and demodulated by cross correlation and sampling at the receiver. Three equivalent expressions are obtained for the error probability of the receiver output. Two of these expressions take the form of an infinite series involving either confluent hypergeometric functions or modified Bessel functions. A third form allows representation of the error probability in terms of Rice's le function. The model for the communication system to be considered in this paper is shown in Fig. 1. A binary phase-shift-keyed (PSK) signal is assumed to get from the transmitter to the receiver via a hard-limiting repeater in the transmission channel. Additive Gaussian noise is introduced on both the uplink (repeater noise) and the downlink (receiver noise).

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1973
Accession Number
ADA425952

Entities

People

  • Nelson M. Blachman
  • Pravin C. Jain

Organizations

  • SRI International

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Bessel Functions
  • Communication Systems
  • Cross Correlation
  • Filters
  • Frequency
  • Gaussian Noise
  • Hypergeometric Functions
  • Information Theory
  • Integral Equations
  • Linear Systems
  • Low Pass Filters
  • Mathematical Analysis
  • Probability
  • Repeaters
  • Signal Processing
  • Traveling Wave Tubes
  • Traveling Waves

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Radio communications and signal processing.