Moment Space Error Bounds for Digital Communication Systems with Intersymbol Interference Based on nth. Moment.

Abstract

The upper and lower bounds on the error probability arising from the degradation of intersymbol interference (ISI) and additive Gaussian noise in a baseband digital communication system are derived via the isomorphism theorem from the theory of moment space. It is assumed the ISI random variable has a finite distortion and its n(th) moment is known. It is found that the second moment case gives exactly the result that Matthews achieved and can be generalized to any higher order moments. Bounds are extremely tight for the two channels of interest and expected to be good for all other channels. A numerical example for the fourth moment case is given.

Document Details

Document Type
Technical Report
Publication Date
Jan 02, 1976
Accession Number
ADA025013

Entities

People

  • T. Y. Yan

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Communication Systems
  • Communications Techniques
  • Computer Communications
  • Degradation
  • Digital Communications
  • Distortion
  • Gaussian Noise
  • Intersymbol Interference
  • Mathematics
  • Noise
  • Probability
  • Random Variables

Readers

  • Control Systems Engineering.
  • Graph Algorithms and Convex Optimization.
  • Radio communications and signal processing.

Technology Areas

  • Space