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

IEEE Transactions on Information Theory

Volumn 54, Issue 11, 2008, Pages 5247-5251

  Gastpar, Michael ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Cut set bound; Joint source channel coding; Maximum correlation coefficient; Source channel separation theorem

Indexed keywords

CHANNEL CODING; CORRELATION METHODS; FUSION REACTIONS; PORT TERMINALS; PROGRAMMING THEORY; SENSOR NETWORKS; WIRELESS TELECOMMUNICATION SYSTEMS;

CHANNEL INPUTS; CUT-SET BOUND; FUSION CENTERS; GAUSSIAN; GAUSSIAN SOURCES; JOINT SOURCE-CHANNEL CODING; MAXIMUM CORRELATION COEFFICIENT; NOISY OBSERVATIONS; OBSERVATION NOISES; OPTIMAL COMMUNICATIONS; SOURCE-CHANNEL SEPARATION THEOREM; SQUARED ERRORS; UNCODED TRANSMISSIONS;

TRELLIS CODES;

EID: 55349115103     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2008.929967     Document Type: Article

References (22)

1. M. Gastpar and M. Vetterli, "On the capacity of wireless networks: The relay case," in Proc. IEEE INFOCOM 2002, New York, Jun. 2002, vol. 3, pp. 1577-1586.
2. M. Gastpar and M. Vetterli, L. J. Guibas and F. Zhao, Eds., "Source-channel communication in sensor networks," in Proc. 2nd Int. Workshop on Inf. Process. Sens. Netw. (IPSN'03), New York, Apr. 2003, vol. Lecture Notes in Computer Science, pp. 162-177.
3. T. M. Cover, A. A. E. Gamal, and M. Salehi, "Multiple access channels with arbitrarily correlated sources," IEEE Trans. Inf. Theory, vol. 26, pp. 648-657, Nov. 1980.
4. 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 Trans. Inf. Theory, vol. IT-29, pp. 396-412, May 1983.
5. M. Gastpar and M. Vetterli, "Power, spatio-temporal bandwidth, and distortion in large sensor networks," IEEE J. Sel. Areas Commun. (Special Issue on Self-Organizing Distributive Collab. Sens. Netw.), vol. 23, pp. 745-754, Apr. 2005.
6. M. Gastpar, B. Rimoldi, and M. Vetterli, "To code, or not to code: Lossy source-channel communication revisited," IEEE Trans. Inf. Theory, vol. 49, pp. 1147-1158, May 2003.
7. M. Gastpar, "To code or not to code," Ph.D. dissertation, Ecole Polytechnique Fédérale (EPFL, Lausanne, Switzerland, 2002.
8. T. Berger, Z. Zhang, and H. Viswanathan, "The CEO problem," IEEE Trans. Inf. Theory, vol. IT-42, pp. 887-902, May 1996.
9. H. Viswanathan and T. Berger, "The quadratic Gaussian CEO problem," IEEE Trans. Inf. Theory, vol. IT-43, pp. 1549-1559, Sep. 1997.
10. Y. Oohama, "The rate-distortion function for the quadratic Gaussian CEO problem," IEEE Trans. Inf. Theory, vol. IT-44, pp. 1057-1070, May 1998.
11. V. Prabhakaran, D. Tse, and K. Ramchandran, "Rate region of the quadratic Gaussian CEO problem," in Proc. IEEE Int. Symp. Inf. Theory, Chicago, IL, Jul. 2004, pp. 117-117.
12. 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 J. Sel. Areas Commun., vol. 22, pp. 977-987, Aug. 2004.
13. H. S. Witsenhausen, "On sequences of pairs of dependent random variables," SIAM J. Appl. Math., vol. 28, pp. 100-113, Jan. 1975.
14. M. Gastpar, M. Vetterli, and P. L. Dragotti, "Sensing reality and communicating bits: A dangerous liaison," IEEE Signal Process. Mag. vol. 23, pp. 70-83, Jul. 2006.
15. M. Gastpar, "Uncoded transmission is exactly optimal for a simple Gaussian sensor network," in Proc. 2007 Inf. Theory Appl. Workshop San Diego, CA, Feb. 2007, pp. 177-182.
16. B. Nazer and M. Gastpar, "Computation over multiple-access channels," IEEE Trans. Inf. Theory, vol. 53, pp. 3498-3516, Oct. 2007.
17. B. Nazer and M. Gastpar, "Structured random codes and sensor network coding theorems," in Proc. 2008 Int. Zurich Seminar on Commun., Zurich, Switzerland, Mar. 2008, pp. 112-115.
18. L. Breiman and J. Friedman, "Estimating optimal transformations for multiple regression and correlation," J. Amer. Statist. Assoc., vol. 80, pp.580-598, Sep.1985.
19. A. Lapidoth and S. Tinguely, "Sending a bi-variate Gaussian source over a Gaussian MAC," in Proc. IEEE Int. Symp. Inf. Theory, Seattle, WA, Jul. 9-14, 2006, pp. 2124-2128.
20. W. Kang and S. Ulukus, "An outer bound for multiple access channels with correlated sources," in Proc. 40th Conf. Inf. Sci. Syst. (CISS) Princeton, NJ, Mar. 2006, pp. 240-244.
21. M. Gastpar, "A lower bound to the AWGN remote rate-distortion function," in IEEE Statist. Signal Process. Workshop, Bordeaux, France, Jul. 2005, pp. 1176-1181.
22. 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.