Signal Detection and Discrimination Based on Generalized Phase Principles.
Technical rept. Sep 68-Aug 70,
JOHNS HOPKINS UNIV BALTIMORE MD CARLYLE BARTON LAB
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The role of the matched filter has been recognized and exploited for many years and has permeated numerous aspects of signal processing. Phase processing, on the other hand, has not received much general attention despite some of the attractive advantages it provides. This report extends the notions and generalizes the fundamental properties of signal detection based on phase principles. Several signal detection techniques which have heretofore appeared as separate schemes are related to the optimum theory of phase processing obtained from the likelihood ratio formulation. The concept of phase in sinusoidal waveforms is extended to apply to any waveform by interpreting the signal as an element of a linear vector space. A method of generalized phase processing, referred to as similarity detection, is investigated. This method is an approximation to the optimum theory becuase of quantization, which makes the detection procedure amenable to digital processing. By a preprocessing scheme, it is possible to reduce the effect of known interference signals on the detection of a known, desired signal. The similarity detector is extended to apply to the detection of a two-dimensional class of signals. Author