Rate-distortion trade-offs in acquisition of signal parameters

• Published in: Proceedings of the ... IEEE International Conference on Acoustics, Speech and Signal Processing (1998) pp. 6105 - 6109
• Main Authors: Rodrigues, Miguel R. D., Deligiannis, Nikos, Lifeng Lai, Eldar, Yonina C.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.03.2017
• Subjects: Distortion; Estimation; Measurement; Rate distortion theory; Rate-distortion; Signal Acquisition; Signal Parameters Acquisition; Vector quantization
• ISSN: 2379-190X
• DOI: 10.1109/ICASSP.2017.7953329

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.