TY - JOUR
T1 - One-bit quantization and distributed detection with an unknown scale parameter
AU - Gao, Fei
AU - Guo, Lili
AU - Li, Hongbin
AU - Fang, Jun
N1 - Publisher Copyright:
© 2015 by the authors.
PY - 2015
Y1 - 2015
N2 - We examine a distributed detection problem in a wireless sensor network, where sensor nodes collaborate to detect a Gaussian signal with an unknown change of power, i.e., a scale parameter. Due to power/bandwidth constraints, we consider the case where each sensor quantizes its observation into a binary digit. The binary data are then transmitted through error-prone wireless links to a fusion center, where a generalized likelihood ratio test (GLRT) detector is employed to perform a global decision. We study the design of a binary quantizer based on an asymptotic analysis of the GLRT. Interestingly, the quantization threshold of the quantizer is independent of the unknown scale parameter. Numerical results are included to illustrate the performance of the proposed quantizer and GLRT in binary symmetric channels (BSCs).
AB - We examine a distributed detection problem in a wireless sensor network, where sensor nodes collaborate to detect a Gaussian signal with an unknown change of power, i.e., a scale parameter. Due to power/bandwidth constraints, we consider the case where each sensor quantizes its observation into a binary digit. The binary data are then transmitted through error-prone wireless links to a fusion center, where a generalized likelihood ratio test (GLRT) detector is employed to perform a global decision. We study the design of a binary quantizer based on an asymptotic analysis of the GLRT. Interestingly, the quantization threshold of the quantizer is independent of the unknown scale parameter. Numerical results are included to illustrate the performance of the proposed quantizer and GLRT in binary symmetric channels (BSCs).
KW - Decentralized detection
KW - One-bit scalar quantization
KW - Wireless sensor networks (WSNs)
UR - http://www.scopus.com/inward/record.url?scp=84944048746&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84944048746&partnerID=8YFLogxK
U2 - 10.3390/a8030621
DO - 10.3390/a8030621
M3 - Article
AN - SCOPUS:84944048746
VL - 8
SP - 621
EP - 631
JO - Algorithms
JF - Algorithms
IS - 3
ER -