NDLI: Rate-distortion problem for physics based distributed sensing

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Rate-distortion problem for physics based distributed sensing

Content Provider	ACM Digital Library
Author	Vetterli, Martin Beferull-Lozano, Baltasar Konsbruck, Robert L.
Abstract	We consider the rate-distortion problem for sensing the continuous space-time physical temperature in a circular ring on which a heat source is applied over space and time, and which is also allowed to cool by radiation or convection to its surrounding medium. The heat source is modelled as a continuous space-time stochastic process which is bandlimited over space and time. The temperature field is the result of a circular convolution over space and a continuous-time causal filtering over time of the heat source with the Green's function corresponding to the heat equation, which is space and time invariant. The temperature field is sampled at uniform spatial locations by a set of sensors and it has to be reconstructed at a base station. The goal is to minimize the mean-square-error per second, for a given number of nats per second, assuming ideal communication channels between sensors and base station. We find a) the centralized $R^{c}$ (D) function of the temperature field, where all the space-time samples can be observed and encoded jointly. Then, we obtain b) the $R^{s-i}$ (D) function, where each sensor, independently, encodes its samples optimally over time and c) the $R^{st-i}$ (D) function, where each sensor is constrained to encode also independently over time. We also study two distributed prediction-based approaches: a) with perfect feedback from the base station, where temporal prediction is performed at the base station and each sensor performs differential encoding, and b) without feedback, where each sensor locally performs temporal prediction.
Starting Page	330
Ending Page	339
Page Count	10
File Format	PDF
ISBN	1581138466
DOI	10.1145/984622.984670
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2004-04-26
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Distributed coding Distributed sampling Local coding Heat equation Feedback Rate-distortion Prediction Sensor networks Centralized coding Green's function Spatio-temporal correlation Temperature field
Content Type	Text
Resource Type	Article

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