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Rate-distortion trade-offs in acquisition of signal parameters

Rodrigues, MRD; Deligiannis, N; Lai, L; Eldar, YC; (2017) Rate-distortion trade-offs in acquisition of signal parameters. In: Bayoumi, Magdy A., (ed.) Proceedings of the 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). (pp. pp. 6105-6109). IEEE: LA, USA. Green open access

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Abstract

We consider problems where one wishes to represent a parameter associated with a signal source - subject to a certain rate and distortion - based on the observation of a number of realizations of the source signal. By reducing these indirect vector quantization problems to a standard vector quantization one, we provide a bound to the fundamental interplay between the rate and distortion in the large-rate setting. We specialize this characterization to two particular quantization scenarios: i) the representation of the mean of a multivariate Gaussian source; and ii) the representation of the eigen-spectrum of a multivariate Gaussian source. Numerical results compare our quantization approach to an approach where one recovers the parameters from the representation of the source signals itself: in addition to revealing that the characterization is sharp in the large-rate setting, the results also show that our approach offers considerable gains.

Type: Proceedings paper
Title: Rate-distortion trade-offs in acquisition of signal parameters
Event: 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Location: New Orleans, LA
Dates: 05 March 2017 - 09 March 2017
ISBN-13: 978-1-5090-4116-9
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/ICASSP.2017.7953329
Publisher version: https://doi.org/10.1109/ICASSP.2017.7953329
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Signal Acquisition, Signal Parameters Acquisition, Rate-Distortion, Vector Quantization
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 Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: http://discovery.ucl.ac.uk/id/eprint/10063247
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