Optimization of Multichannel Processing.

Abstract

The subset selection algorithm is extended to search for a best subset from a large set of complex-valued basis functions. This algorithm is used to design digital finite-duration impulse response (FIR) filters having fewer coefficients than conventional FIR filters. An optimum conventional FIR filter is derived which has best uniform spacing of the fixed number of samples which are to be used, and examples are presented which show that, for the same number of coefficients, the complex-subset-selection filter can give better results than the optimum conventional filter. The complex subset selection method is also applied to estimation of the frequencies of sinusoids in the presence of noise. A windowing technique is introduced to increase the efficiency and accuracy of the algorithm for frequency estimates. The results are compared with Cramer-Rao bounds.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1980
Accession Number
ADA091987

Entities

People

  • Oved Shisha

Organizations

  • University of Rhode Island

Tags

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Antenna Arrays
  • Chebyshev Approximations
  • Coefficients
  • Computations
  • Digital Filters
  • Filters
  • Frequency
  • Frequency Response
  • Functional Analysis
  • Intervals
  • Mathematics
  • New York
  • Optimization
  • Polynomials
  • Rhode Island

Fields of Study

  • Engineering

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Approximation Theory.

Technology Areas

  • Space
  • Space - Space Objects