Statistical Design of Nonrecursive Digital Filters.

Abstract

The problem of designing a finite duration impulse response (FIR) digital filter to approximate a desired spectral response is treated in the paper. The philosophy adopted is that for a given FIR filter structure, the filter coefficients can be designed to provide a minimum mean-squared error (MMSE) estimate of a random signal sequence (the design signal) imbedded in a random noise sequence. By treating the signal and noise covariance functions as design parameters, one can design FIR filters with spectral responses that approximate the power spectral density of the design signal. For signal processing applications that require some attention to signal fidelity, as well as noise rejection, the MMSE philosophy seems appropriate (as opposed to a maximum signal-to-noise ratio philosophy, for example). (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Jul 31, 1973
Accession Number
AD0764595

Entities

People

  • David C. Farden
  • Louis L. Louis L. Scharf

Organizations

  • Colorado State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Coefficients
  • Covariance
  • Digital Filters
  • Filters
  • Philosophy
  • Rejection
  • Reliability
  • Sequences
  • Signal Processing

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.