Estimation of Ambiguity Functions With Limited Spread - Statistics > MethodologyReport as inadecuate

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Abstract: This paper proposes a new estimation procedure for the ambiguity function ofa non-stationary time series. The stochastic properties of the empiricalambiguity function calculated from a single sample in time are derived.Different thresholding procedures are introduced for the estimation of theambiguity function. Such estimation methods are suitable if the ambiguityfunction is only non-negligible in a limited region of the ambiguity plane. Thethresholds of the procedures are formally derived for each point in the plane,and methods for the estimation of nuisance parameters that the thresholdsdepend on are proposed. The estimation method is tested on several signals, andreductions in mean square error when estimating the ambiguity function byfactors of over a hundred are obtained. An estimator of the spread of theambiguity function is proposed.

Author: Heidi Hindberg, Sofia C. Olhede


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