TY - GEN
T1 - Compress-and-estimate source coding for a vector Gaussian source
AU - Song, Ruiyang
AU - Rini, Stefano
AU - Kipnis, Alon
AU - Goldsmith, Andrea J.
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/7/2
Y1 - 2017/7/2
N2 - We consider the remote vector source coding problem in which a vector Gaussian source is estimated from noisy linear measurements. For this problem, we derive the performance of the compress-and-estimate (CE) coding scheme and compare it to the optimal performance. In the CE coding scheme, the remote encoder compresses the noisy source observations so as to minimize a local distortion measure, independent from the joint distribution between the source and the observations. In reconstruction, the decoder, having full knowledge of the joint distribution of the source and observations, estimates the original source realization from the lossy-compressed noisy observations. For the CE scheme in the vector Gaussian case, we show that, if the code rate is less than a specific threshold, then the CE coding scheme attains the same performance as the optimal coding scheme. For code rates above this threshold, we introduce lower and upper bounds on the performance gap between the CE and the optimal scheme. The case of a two-dimensional Gaussian source observed through two noisy measurements is studied to illustrate the behavior of the performance gap.
AB - We consider the remote vector source coding problem in which a vector Gaussian source is estimated from noisy linear measurements. For this problem, we derive the performance of the compress-and-estimate (CE) coding scheme and compare it to the optimal performance. In the CE coding scheme, the remote encoder compresses the noisy source observations so as to minimize a local distortion measure, independent from the joint distribution between the source and the observations. In reconstruction, the decoder, having full knowledge of the joint distribution of the source and observations, estimates the original source realization from the lossy-compressed noisy observations. For the CE scheme in the vector Gaussian case, we show that, if the code rate is less than a specific threshold, then the CE coding scheme attains the same performance as the optimal coding scheme. For code rates above this threshold, we introduce lower and upper bounds on the performance gap between the CE and the optimal scheme. The case of a two-dimensional Gaussian source observed through two noisy measurements is studied to illustrate the behavior of the performance gap.
UR - http://www.scopus.com/inward/record.url?scp=85046348363&partnerID=8YFLogxK
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U2 - 10.1109/ITW.2017.8278009
DO - 10.1109/ITW.2017.8278009
M3 - Conference contribution
AN - SCOPUS:85046348363
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 539
EP - 543
BT - 2017 IEEE Information Theory Workshop, ITW 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 IEEE Information Theory Workshop, ITW 2017
Y2 - 6 November 2017 through 10 November 2017
ER -