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Title: Analysis of a filter with adaptive zeros for direct non-stationary multi-frequency estimation and tracking
Author: Vargas Mosqueda, Julio
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 2001
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The proposed approach to estimate multiple frequency trajectories and amplitude envelopes of multiple non-stationary sinusoids is then presented in chapter 4. There, the ideas are focused on the design of an algorithm to adapt the zeros of a filter, structured in cascade form, to track multiple non-stationary frequencies. Although this approach has been used in the past to analyse non-stationary multicomponent exponentials signals, the novel technique introduces a new gradient-based algorithm focused on the direct estimation and tracking of the instantaneous frequency of each component of the signal. A second algorithm is also proposed in chapter 4 to estimate the amplitude envelope of a non-stationary sinusoid relying on two consecutive samples. This algorithm is extended to the multicomponent case by first isolating each sinusoid, relying on a cascade of notch filters. The theoretical propositions are validated in computer simulations of the algorithm for the case of synthetic signals, a bat sonar signal and a voiced segment of speech. In chapter five, a spatial filter in decomposed form is used to analyse computer simulations of signals from a linear array of uniformly spaced sensors over which impinge multiple non-stationary plane waves. The ideas exploited constitute an extension to the spatial domain of direct frequency estimation using gradient-descent techniques. The resulting decoupled adaptive filter allows the tracking of the instantaneous spatial frequency of each component of the directional signal, which is equivalent to tracking the angle at which the different plane waves impinge on the array.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available