Uncoded transmission is exactly optimal for a simple Gaussian "sensor" network

2007 Information Theory and Applications Workshop, Conference Proceedings, ITA

Volumn , Issue , 2007, Pages 177-182

  Gastpar, Michael ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CYBERNETICS; ERROR ANALYSIS; INFORMATION THEORY; SENSOR DATA FUSION; SENSORS; STANDARDS; TRELLIS CODES;

FUSION CENTER; GAUSSIAN; GAUSSIAN MULTIPLE ACCESS CHANNELS; GAUSSIAN SOURCES; MEAN-SQUARED ERROR; NETWORK MODELLING; OBSERVATION NOISE; OPTIMAL COMMUNICATION; UNCODED TRANSMISSION;

SENSOR NETWORKS;

EID: 48049113211     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ITA.2007.4357577     Document Type: Conference Paper

References (18)

1. T. M. Cover, A. A. E. Gamal, and M. Salehi, "Multiple access channels with arbitrarily correlated sources," IEEE Transactions on Information Theory, vol. 26, pp. 648-657, November 1980.
2. R. Ahlswede and T. S. Han, "On source coding with side information via a multiple-access channel and related problems in multi-user information theory," IEEE Transactions on Information Theory, vol. IT-29, pp. 396-412, May 1983.
3. M. Gastpar and M. Vetterli, "On the capacity of wireless networks: The relay case," in Proc IEEE Infocom 2002, vol. 3, (New York, NY), pp. 1577 - 1586, June 2002.
4. M. Gastpar and M. Vetterli, "Source-channel communication in sensor networks," in 2nd International Workshop on Information Processing in Sensor Networks (IPSN'O3) (L. J. Guibas and F. Zhao, eds.), pp. 162-177, New York, NY: Lecture Notes in Computer Science, Springer, April 2003.
5. M. Gastpar and M. Vetterli, "Power, spatio-temporal bandwidth, and distortion in large sensor networks," IEEE Journal on Selected Areas in Communications (Special Issue on Self-Organizing Distributive Collaborative Sensor Networks), vol. 23, pp. 745-754, April 2005.
6. T. Berger, Z. Zhang, and H. Viswanathan, "The CEO problem," IEEE Transactions on Information Theory, vol. IT-42, pp. 887-902, May 1996.
7. H. Viswanathan and T. Berger, "The quadratic Gaussian CEO problem," IEEE Transactions on Information Theory, vol. IT-43, pp. 1549-1559, September 1997.
8. Y. Oohama, "The rate-distortion function for the quadratic Gaussian CEO problem," IEEE Transactions on Information Theory, vol. IT-44, pp. 1057-1070, May 1998.
9. J. Chen, X. Zhang, T. Berger, and S. Wicker, "An upper bound on the sum-rate distortion function and its corresponding rate allocation schemes for the CEO problem," IEEE Journal on Selected Areas in Communications, vol. 22, pp. 977-987, Aug 2004.
10. H. S. Witsenhausen, "On sequences of pairs of dependent random variables," SIAM J. Appl. Math., vol. 28, pp. 100-113, January 1975.
11. M. Gastpar, "On capacity under receive and spatial spectrum-sharing constraints," IEEE Transactions on Information Theory, vol. 53, February 2007. To appear.
12. W. Kang and S. Ulukus, "An outer bound for multiple access channels with correlated sources," in 40th Conf. on Information Sciences and Systems (CISS), (Princeton, NJ), March 2006.
13. L. Breiman and J. Friedman, "Estimating optimal transformations for multiple regression and correlation," Journal of the American Statistical Association, vol. 80, pp. 580-598, September 1985.
14. M. Gastpar, B. Rimoldi, and M. Vetterli, "To code, or not to code: Lossy source-channel communication revisited," IEEE Transactions on Information Theory, vol. 49, pp. 1147-1158, May 2003.
15. M. Gastpar, To Code Or Not To Code. PhD thesis, Ecole Polytechnique Fédérale (EPFL), Lausanne, Switzerland, 2002.
16. A. Lapidoth and S. Tinguely "Sending a bi-variate Gaussian source over a Gaussian MAC," in Proc IEEE Int Symp Info Theory, (Seattle, WA), July 9-14 2006.
17. M. Gastpar, "A lower bound to the AWGN remote rate-distortion function," in Proc IEEE Statistical Signal Processing Workshop, (Bordeaux, France), pp. 1176-1181, July 2005.
18. H. O. Lancaster, "Some properties of the bivariate normal distribution considered in the form of a contingency table," Biometrika, vol. 44, pp. 289 - 292, 1957.