TY - GEN
T1 - Hypothesis testing over cascade channels
AU - Salehkalaibar, Sadaf
AU - Wigger, Michele
AU - Wang, Ligong
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/7/2
Y1 - 2017/7/2
N2 - Binary hypothesis testing over single and parallel cascade channels is considered where sensors communicate with dedicated relays, and these relays with a single final receiver. All relays as well as the final receiver decide on the binary hypothesis governing the joint probability distribution of the observations at the sensors, relays, and final receiver. The quantity of interest is the set of feasible type-II error exponents that allow for the type-I error probabilities to vanish asymptotically as the observation length increases. A coding scheme is proposed and the corresponding set of feasible type-II error exponents is analyzed by means of a modified Han-type analysis that can account for distributed decisions based on different codebooks and for nodes forwarding their decisions to other nodes. The obtained exponent region is optimal in some special cases.
AB - Binary hypothesis testing over single and parallel cascade channels is considered where sensors communicate with dedicated relays, and these relays with a single final receiver. All relays as well as the final receiver decide on the binary hypothesis governing the joint probability distribution of the observations at the sensors, relays, and final receiver. The quantity of interest is the set of feasible type-II error exponents that allow for the type-I error probabilities to vanish asymptotically as the observation length increases. A coding scheme is proposed and the corresponding set of feasible type-II error exponents is analyzed by means of a modified Han-type analysis that can account for distributed decisions based on different codebooks and for nodes forwarding their decisions to other nodes. The obtained exponent region is optimal in some special cases.
U2 - 10.1109/ITW.2017.8277994
DO - 10.1109/ITW.2017.8277994
M3 - Conference contribution
AN - SCOPUS:85046374273
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 369
EP - 373
BT - 2017 IEEE Information Theory Workshop, ITW 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 IEEE Information Theory Workshop, ITW 2017
Y2 - 6 November 2017 through 10 November 2017
ER -