A wideband wavelet based estimator correlator and its properties

Leon H. Sibul, Lora G. Weiss

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

Maximum likelihood detectors of narrowband, non-stationary random echos in Gaussian noise can be efficiently implemented in the time-frequency domain. When the transmitted signals have large time-bandwidth products, the natural implementation of estimators and detectors is in the time-scale or wavelet transform domain. This paper presents a wideband wavelet transform domain implementation of an estimator-correlator (EC) detector and details the components of this processor, including weighted wavelet transforms and cascaded scattering functions. Key properties associated with this wavelet based wideband EC are also presented. The theoretical developments of the processor are based on group theory which provides a unified approach to detector development for both narrowband and wideband processors. The group theoretic concepts provide a powerful analysis tool for complex signal processing problems.

Original languageEnglish (US)
Pages (from-to)157-186
Number of pages30
JournalMultidimensional Systems and Signal Processing
Volume13
Issue number2
DOIs
StatePublished - Apr 1 2002

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All Science Journal Classification (ASJC) codes

  • Software
  • Signal Processing
  • Information Systems
  • Hardware and Architecture
  • Computer Science Applications
  • Artificial Intelligence
  • Applied Mathematics

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