An analysis of the LMS adaptive filter used as a spectral line enhancer

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Naval Undersea Center, 1975 - Science - 25 pages
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The adaptive line enhancer is a new device with unique capabilities. The device has significant applications in the enhancement of narrowband spectral lines in a broadband noise field when there is a poor signal-to-noise ratio at the input and there is insufficient a priori information on which to design appropriate filters. The device automatically filters out the components of the signal which are uncorrelated in time and passes the correlated portions. Since the properties of the device are determined solely by the input signal statistics, the properties of the filter automatically adjust to variations in the input signal statistics to obtain the LMS approximation to a Weiner-Hopf filter. The device will thus track slowly varying spectral lines in broadband noise. This paper derives the properties of an N-weight adaptive line enhancer for a single stable input spectral line in both an arbitrary and a white noise background. The fundamental properties of the adaptive line enhancer are discussed in terms of these solutions. (Author).

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