TY - GEN

T1 - Asymptotic refinements in Bayesian distributed detection

AU - Papamarcou, Adrian

AU - Chen, Po-Ning

PY - 1993/1/1

Y1 - 1993/1/1

N2 - The performance of a parallel distributed detection system is investigated as the number of sensors tends to infinity. It is assumed that the i.i.d. sensor data are quantized locally into m-ary messages and transmitted to the fusion center for Bayesian binary hypothesis testing. Large deviations techniques are employed to show that the equivalence of absolutely optimal and best identical-quantizer systems is not limited to error exponents, but extends to the actual Bayes error probabilities up to a multiplicative constant. This is true as long as the two hypotheses are mutually absolutely continuous; no further assumptions, such as boundedness of second moments of the post-quantization log-likelihood ratio, are needed.

AB - The performance of a parallel distributed detection system is investigated as the number of sensors tends to infinity. It is assumed that the i.i.d. sensor data are quantized locally into m-ary messages and transmitted to the fusion center for Bayesian binary hypothesis testing. Large deviations techniques are employed to show that the equivalence of absolutely optimal and best identical-quantizer systems is not limited to error exponents, but extends to the actual Bayes error probabilities up to a multiplicative constant. This is true as long as the two hypotheses are mutually absolutely continuous; no further assumptions, such as boundedness of second moments of the post-quantization log-likelihood ratio, are needed.

UR - http://www.scopus.com/inward/record.url?scp=0027311715&partnerID=8YFLogxK

U2 - 10.1109/ISIT.1993.748326

DO - 10.1109/ISIT.1993.748326

M3 - Conference contribution

AN - SCOPUS:0027311715

SN - 0780308786

T3 - Proceedings of the 1993 IEEE International Symposium on Information Theory

BT - Proceedings of the 1993 IEEE International Symposium on Information Theory

PB - Publ by IEEE

T2 - Proceedings of the 1993 IEEE International Symposium on Information Theory

Y2 - 17 January 1993 through 22 January 1993

ER -