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Thresholding the Ambiguity Function

Hindberg, H; Hanssen, A; Olhede, SC; (2008) Thresholding the Ambiguity Function. In: 2008 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-12. (pp. 3773 - 3776). IEEE

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Abstract

In this paper we propose a new method for estimating the Ambiguity Function (AF) of a random process with limited spreading support. The observed process is modelled as the aggregation of a non-stationary signal of interest and noise. As the AF has limited spreading, thresholding is a suitable estimation procedure. Some key stochastic properties of the Empirical Ambiguity Function are derived to obtain a suitable threshold. Based on a median absolute deviation estimator for the variance, we derive a suitable threshold, which forms the basis for our proposed estimator. The estimator is tested on both artificial and real signals, and our results demonstrate a remarkably high resolution and reduced variance.

Type: Proceedings paper
Title: Thresholding the Ambiguity Function
Event: 33rd IEEE International Conference on Acoustics, Speech and Signal Processing
Location: Las Vegas, NV
Dates: 2008-03-30 - 2008-04-04
ISBN-13: 978-1-4244-1483-3
Keywords: Ambiguity function, chirp signal, Doppler-lag function, underspread process, thresholding
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: http://discovery.ucl.ac.uk/id/eprint/54673
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