Iterative source-channel coding approach to Witsenhausen's counterexample

Proceedings of the American Control Conference

Volumn , Issue , 2011, Pages 5348-5353

  Karlsson, Johannes ^a   Gattami, Ather ^a   Oechtering, Tobias J ^a   Skoglund, Mikael ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL CODING;

BENCH-MARK PROBLEMS; LINEAR QUADRATIC; MINIMAL COST; OPTIMAL SOLUTIONS; SOURCE CHANNEL CODING; TEAM DECISION;

ITERATIVE METHODS;

EID: 80053148886     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2011.5991064     Document Type: Conference Paper

References (22)

1. http://www.ee.kth.se/~johk/witsenhausen/.
2. M. Baglietto, T. Parisini, and R. Zoppoli. Numerical solutions to the Witsenhausen counterexample by approximating networks. IEEE Trans. Automatic Control, 46(9):1471-1477, September 2001. (Pubitemid 32981656)
3. R. Bansal and T. Basar. Stochastic teams with nonclassical information revisited: When is an affine law optimal? IEEE Trans. Automatic Control, 32(6):554-559, June 1987. (Pubitemid 17597982)
4. C.S. Chow and J. N. Tsitsiklis. An optimal one-way multigrid algorithm for discrete-time stochastic control. Automatic Control, IEEE Transactions on, 36(8):898-914, 1991.
5. M. Deng and Y.C. Ho. An ordinal optimization approach to optimal control problems. Automatica, 35:331-338, 1999.
6. N. Farvardin and V. Vaishampayan. Optimal quantizer design for noisy channels: An approach to combined source-channel coding. IEEE Trans. on Information Theory, 33(6):827-838, November 1987.
7. N. Farvardin and V. Vaishampayan. On the performance and complexity of channel-optimized vectorquantizers. IEEE Trans. on Information Theory, 37(1):155-160, January 1991.
8. A. Fuldseth and T. A. Ramstad. Bandwidth compression for continuous amplitude channels based on vector approximation to a continuous subset of the source signal space. In International Conference on Acoustics, Speech and Signal Processing (ICASSP), pages 3093-3096, Munich, Germany, April 1997.
9. S. Gadkari and K. Rose. Noisy channel relaxation for VQ design. In International Conference on Acoustics, Speech and Signal Processing (ICASSP), pages 2048-2051, May 1996.
10. A. Gersho and R. M. Gray. Vector Quantization and Signal Compression. Kluwer academic publishers, Dordrecht, The Netherlands, 1992.
11. P. Grover, S. Y. Park, and A. Sahai. The finite-dimensional Witsenhausen counterexample. In ConCom, Seoul, Korea, March 2009.
12. Y.C. Ho and T. S. Chang. Another look at the nonclassical information structure problem. IEEE Trans. on Automatic Control, 25(3), 1980.
13. Y.C. Ho and K.C. Chu. Team decision theory and information structures in optimal control problems - part I. IEEE Trans. on Automatic Control, 17(1), 1972.
14. Y.C. Ho, M. P. Kastner, and E. Wong. Teams, signaling, and information theory. IEEE Trans. on Automatic Control, 23(2), 1978.
15. J. Karlsson and M. Skoglund. Optimized low-delay source-channel-relay mappings. IEEE Trans. on Communications, 58(5):1397-1404, May 2010.
16. J. T. Lee, E. Lau, and Y.C. Ho. The Witsenhausen counterexample: A hierachical search approach for nonconvex optimization problems. IEEE Trans. Automatic Control, 46(3):382-297, March 2001.
17. N. Li, R. Marden, and J. S. Shamma. Learning approaches to the Witsenhausen counterexample from a view of potential games. In IEEE Conference on Decision and Control, pages 157-162, December 2009.
18. S. P. Lloyd. Least Squares Quantization in PCM. IEEE Trans. on Information Theory, 28(2):129-137, March 1982.
19. J. Max. Quantizing for minimum distortion. IRE Trans. on Information Theory, 6:7-12, March 1960.
20. N. Wernersson, J. Karlsson, and M. Skoglund. Distributed quantization over noisy channels. IEEE Trans. on Communications, 57(6):1693-1700, June 2009.
21. H. S. Witsenhausen. A counterexample in stochastic optimum control. SIAM Journal on Control, 6(1):138-147, 1968.
22. K. A. Zeger and A. Gersho. Vector quantizer design for memoryless noisy channels. In IEEE Internationell Conference on Communications, pages 1593-1597, Philadelphia, USA, June 1988.