Rate-distortion trade-offs in acquisition of signal parameters
Miguel R. D. Rodrigues, Nikos Deligiannis, Lifeng Lai, Yonina C. Eldar
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.
BibTeX
@inproceedings{icassp2017_ratedistortiontr,
title = {Rate-distortion trade-offs in acquisition of signal parameters},
author = {Miguel R. D. Rodrigues and Nikos Deligiannis and Lifeng Lai and Yonina C. Eldar},
booktitle = {ICASSP 2017},
year = {2017}
}