Finite Length Discrete Matched Filters

Abstract

The Matched Filter (MF) is well known to be the linear detector that has the maximum output Signal-to-Noise Ratio (SNR). The problem of finding the minimum filter length in discrete time to achieve a certain level of performance is considered when there is some freedom in choosing a signal shape. Upper and lower bounds on the SNR are given in terms of the eigenvalues of the noise covariance matrix. Since these bounds are rather difficult to compute, looser, but easier to compute, bounds are given. Several examples are presented which illustrate the exact and approximate bounds. Keywords: signal detection and matched filter.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA164869

Entities

People

  • Andrew B. Martinez
  • John B. Thomas

Organizations

  • Princeton University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Covariance
  • Data Science
  • Detectors
  • Eigenvalues
  • Electrical Engineering
  • Equations
  • Information Science
  • Linearity
  • Matched Filters
  • Mathematics
  • Military Research
  • Numbers
  • Signal Detection
  • Signal Processing
  • Statistical Analysis
  • Statistics

Fields of Study

  • Engineering

Readers

  • Acoustical Oceanography.
  • Approximation Theory.