TY - JOUR
T1 - Approximate characterizations for the Gaussian source broadcast distortion region
AU - Tian, Chao
AU - Diggavi, Suhas
AU - Shamai, Shlomo
N1 - Funding Information: Manuscript received May 25, 2009; revised March 22, 2010; accepted July 26, 2010. Date of current version December 27, 2010. The work of S. Shamai was supported by the European Commission in the framework of the FP7 Network of Excellence in Wireless COMmunications, NEWCOM++. The material in this paper was presented (in part) at the IEEE International Symposium on Information Theory, Seoul, South Korea, June-July 2009. C. Tian is with AT&T Labs-Research, Florham Park, NJ 07932 USA (e-mail: [email protected]). S. N. Diggavi is with the Department of Electrical Engineering, University of California, Los Angeles, CA 90095 USA (e-mail: [email protected]). S. Shamai is with the Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel (e-mail: [email protected]. il). Communicated by M. C. Gastpar, Associate Editor for Shannon Theory. Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIT.2010.2090232
PY - 2011/1
Y1 - 2011/1
N2 - We consider the joint source-channel coding problem of sending a Gaussian source on a K-user Gaussian broadcast channel with bandwidth mismatch. A new outer bound to the achievable distortion region is derived using the technique of introducing more than one additional auxiliary random variable, which was previously used to derive sum-rate lower bound for the symmetric Gaussian multiple description problem. By combining this outer bound with the achievability result based on source-channel separation, we provide approximate characterizations of the achievable distortion region within constant multiplicative factors. Furthermore, we show that the results can be extended to general broadcast channels, and the performance of the source-channel separation based approach is also within the same constant multiplicative factors of the optimum.
AB - We consider the joint source-channel coding problem of sending a Gaussian source on a K-user Gaussian broadcast channel with bandwidth mismatch. A new outer bound to the achievable distortion region is derived using the technique of introducing more than one additional auxiliary random variable, which was previously used to derive sum-rate lower bound for the symmetric Gaussian multiple description problem. By combining this outer bound with the achievability result based on source-channel separation, we provide approximate characterizations of the achievable distortion region within constant multiplicative factors. Furthermore, we show that the results can be extended to general broadcast channels, and the performance of the source-channel separation based approach is also within the same constant multiplicative factors of the optimum.
KW - Gaussian source
KW - joint source-channel coding
KW - squared error distortion
UR - http://www.scopus.com/inward/record.url?scp=78650869179&partnerID=8YFLogxK
U2 - 10.1109/TIT.2010.2090232
DO - 10.1109/TIT.2010.2090232
M3 - مقالة
SN - 0018-9448
VL - 57
SP - 124
EP - 136
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 1
M1 - 5673873
ER -