SCATTERING FUNCTION ESTIMATION.

Abstract

The estimation of the scattering function of a homogeneous, random, time-variant, linear system is considered. The estimator structure is assumed to be a bank of linear filters, followed by squared-envelope detectors, and another linear operation. The estimator output is shown to be equivalent to a single linear operation on the ambiguity function of the channel output, and expressions for the mean, and - assuming a gaussian channel - for the variance of the estimator output are found. It is shown that for any input signal with time duration and bandwidth greater than the channel correlation time and frequency, and effectively unbiased estimate of the scattering function can always be found. An example is used to show that for a gaussian channel, the variance of the estimate can be made as small as desired by further increasing the time duration and band-width of the transmitted signal. (Author) 22 for gaussian for a gaussian

Document Details

Document Type
Technical Report
Publication Date
May 01, 1967
Accession Number
AD0818160

Entities

People

  • N. T. Gaarder

Organizations

  • Cornell University College of Engineering

Tags

DTIC Thesaurus Topics

  • Ambiguity
  • Bandwidth
  • Detectors
  • Estimators
  • Frequency
  • Frequency Bands
  • Gaussian Channels
  • Linear Systems
  • Scattering

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Radio communications and signal processing.
  • Statistical inference.