DocumentCode :
3060578
Title :
On the sum-rate loss of quadratic Gaussian multiterminal source coding
Author :
Yang, Yang ; Zhang, Yifu ; Xiong, Zixiang
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas A & M Univ., College Station, TX, USA
fYear :
2010
fDate :
13-18 June 2010
Firstpage :
41
Lastpage :
45
Abstract :
This work studies the sum-rate loss of quadratic Gaussian multiterminal source coding, i.e., the difference between the minimum sum-rates of distributed encoding and joint encoding (both with joint decoding) of correlated Gaussian sources subject to MSE distortion constraints on individual sources. It is shown that under the non-degraded assumption, i.e., all target distortions are simultaneously achievable by a Berger-Tung scheme, the supremum of the sum-rate loss of distributed encoding over joint encoding of L jointly Gaussian sources increases almost linearly in the number of sources L, with an asymptotic slope of 0.1083 b/s per source as L goes to infinity. This result is obtained even though we currently do not have the full knowledge of the minimum sum-rate for the distributed encoding case. The main idea is to upper-bound the minimum sum-rate of multiterminal source coding by that achieved by parallel Gaussian test channels while lower-bounding the minimum sum-rate of joint encoding by a reverse water-filling solution to a relaxed joint encoding problem of the same set of Gaussian sources with a sum-distortion constraint (that equals the sum of the individual target distortions). We show that under the non-degraded assumption, the supremum difference between the upper bound for distributed encoding and the lower bound for joint encoding is achieved in the bi-eigen equal-variance with equal distortion case, in which both bounds are known to be tight.
Keywords :
Gaussian channels; channel coding; source coding; Berger-Tung scheme; Gaussian sources; Gaussian test channels; MSE distortion constraints; bieigen equal-variance; correlated Gaussian sources; distributed encoding; joint encoding; quadratic Gaussian multiterminal source coding; relaxed joint encoding problem; reverse water-filling solution; sum-distortion constraint; sum-rate loss; supremum difference; Cameras; Collaboration; Decoding; Encoding; H infinity control; Sensor arrays; Source coding; Testing; Upper bound; Video coding;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on
Conference_Location :
Austin, TX
Print_ISBN :
978-1-4244-7890-3
Electronic_ISBN :
978-1-4244-7891-0
Type :
conf
DOI :
10.1109/ISIT.2010.5513299
Filename :
5513299
Link To Document :
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