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Yang Yang, Yifu Zhang, Zixiang Xiong
Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other › peer-review
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.
Original language | English |
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Title of host publication | Proceedings of 2010 IEEE International Symposium on Information Theory (ISIT 2010) |
Subtitle of host publication | 13-18 June 2010, Austin, TX, USA |
Publisher | IEEE, Institute of Electrical and Electronics Engineers |
Pages | 41-45 |
Number of pages | 5 |
ISBN (Print) | 9781424469604 |
DOIs | |
Publication status | Published - 2010 |
Externally published | Yes |
Event | IEEE International Symposium on Information Theory 2010 - Austin, United States of America Duration: 13 Jun 2010 → 18 Jun 2010 https://ieeexplore.ieee.org/xpl/conhome/5508195/proceeding (Proceedings) |
Conference | IEEE International Symposium on Information Theory 2010 |
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Abbreviated title | ISIT 2010 |
Country/Territory | United States of America |
City | Austin |
Period | 13/06/10 → 18/06/10 |
Internet address |
Research output: Contribution to journal › Article › Research › peer-review