Signal-to-Noise Ratio Analysis for Nonlinear N-ary Phase Filters

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Abstract

The problem of recognising targets in non-overlapping clutter using nonlinear N-ary phase filters is addressed. Using mathematical analysis, expressions were derived for an N-ary phase filter and the intensity variance of an optical correlator output. The N-ary phase filter was shown to consist of an infinite sum of harmonic terms whose periodicity was determined by N. For the intensity variance, it was found that under certain conditions the variance was minimised due to a hitherto undiscovered phase quadrature effect. Comparison showed that optimal real filters produced greater SNR values than the continuous phase versions as a consequence of this effect.
Original languageEnglish
Pages (from-to)6405-6418
Number of pages14
JournalApplied Optics
Volume46(25)
Issue number25
DOIs
Publication statusPublished - 01 Sep 2007

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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