Receiver Design with Reduced DOF in Frequency Domain for Target Detection under Gaussian Clutter

Yang Li, Qian He, Rick S. Blum, Alexander M. Haimovich

Research output: Contribution to journalArticlepeer-review

Abstract

This paper addresses the problem of target detection against a background of Gaussian clutter by using frequency snapshots with reduced degrees of freedom (DOF). We derive the optimal detector and detection performance under the Neyman-Pearson criterion for general frequency snapshot selection with arbitrary DOF. When the clutter statistics are unknown, we use a uniformly random frequency snapshot selection method and show how the DOF employed affects the detection performance. When the clutter return follows a stationary Gaussian distribution with slowly varying power spectral density, the optimal selection is derived. When the clutter is composed of reflected versions of the transmitted waveforms, a greedy-based method for selecting the frequency snapshots is presented. Numerical experiments show that a receiver with reduced DOF can lead to detection performance which is very close to that of the receiver with full DOF.

Original languageEnglish (US)
JournalIEEE Transactions on Signal Processing
DOIs
StateAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering

Keywords

  • clutter
  • Clutter
  • Detectors
  • Frequency-domain analysis
  • Indexes
  • Neyman-Pearson
  • Object detection
  • Radar clutter
  • Receivers
  • Reduced DOF
  • target detection

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