Statistical Analysis of the Nonhomogeniety Detector for Stap Applications

Abstract

We present a statistical analysis of the recently proposed non-homogeneity detector (NHD) for Gaussian interference statistics. We show that a formal goodness-of-fitness test can be constructed by accounting for the statistics of the generalized inner product (GIP) used as the NHD test statistic. Specifically, the Normalized-GIP is shown to follow a central-F distribution and admits a canonical representation in terms of two statistically independent Chi-squared distributed random variables. Moments of the GIP can be readily calculated as a result. These facts are used to derive the goodness-of-fit tests, which facilitate intelligent training data selection. Additionally, we address the issue of space-time adaptive processing (STAP) algorithm performance using the NHD as a pre-processing step for training data selection. Performance results for the adaptive matched filter (AMF) method are reported using simulated as well as measured data.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 2001
Accession Number
ADA408373

Entities

People

  • Braham Himed
  • James Michels
  • Muralidhar (Murali) Rangaswamy

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Sensors

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Algorithms
  • Covariance
  • Data Science
  • Detection
  • Detectors
  • Goodness Of Fit Tests
  • Information Science
  • Matched Filters
  • Probability
  • Probability Density Functions
  • Random Variables
  • Statistical Analysis
  • Statistics
  • Target Detection
  • Test Methods
  • Warning Systems

Fields of Study

  • Mathematics

Readers

  • Radar Systems Engineering.
  • Statistical inference.

Technology Areas

  • Space