An analysis of the pseudoautocovariance function as a technique for signal echo detection
Abstract
Under investigation at the present time is the use of cepstral analysis for the detection of a signal of the form x( t) + αx( t τ), τ > o. A pseudoautocovariance technique is offered by the test function K(τ)= {I}/{ω _{0}}limit_{∫}o^{ω 0}log S ω>cos ωτω where ω _{0} is the largest angular frequency present in the received signal, and S( ω) is the spectrum of the received signal. Consideration of the asymptotic properties of spectral estimates leads to the development of a ttest for the hypothesis that a signal of the form given above is present. It is shown that when the saphe of the echo is known, the use of the pseudoautocovariance function as a test criterion should offer a 11·5 dB improvement over cepstral analysis.
 Publication:

Journal of Sound Vibration
 Pub Date:
 January 1967
 DOI:
 10.1016/0022460X(67)901800
 Bibcode:
 1967JSV.....5...93S