Accurate and efficient implementation of the time–frequency matched filter

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Accurate and efficient implementation of the time–frequency matched filter

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Title: Accurate and efficient implementation of the time–frequency matched filter
Author: O'Toole, J.M; Mesbah, M; Boashash, B
Abstract: The discrete time-frequency matched filter should replicate the continuoustime-frequency matched filter, but the methods differ. To avoid aliasing, thediscrete method transforms the real-valued signal to the complex-valued analytic signal. The theory for the time-frequency matched filter does not consider the discrete case using the analytic signal. The authors find that theperformance of the matched filter degrades when using the analytic, rather than real-valued, signal. This performance degradation is dependent on thesignal-to-noise ratio and the signal type. In addition, the authors present a simple algorithm to efficiently compute the time-frequency matched filter. Thealgorithm with the real-valued signal, comparative to using the analytic signal, requires one-quarter of the computational load. Hence the real-valued signal -and not the analytic signal - enables an accurate and efficient implementationof the time-frequency matched filter.
Description: This paper presents issues related to the discrete time–frequency matched filter which correlates two discrete TFDs (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, the most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated).
URI: http://hdl.handle.net/10576/10768
Date: 2010-08

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