Hypothesis Testing over Cascade Channels

Sadaf Salehkalaibar (1) , Michèle Wigger (2) , Ligong Wang (3)

1 COMNUM - Communications Numériques
2 COMELEC - Département Communications & Electronique
3 Cranfield University

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.

Domaines: Théorie de l'information et codage [math.IT]

Sadaf Salehkalaibar, Michèle Wigger, Ligong Wang. Hypothesis Testing over Cascade Channels. 2017 IEEE Information Theory Workshop (ITW), Nov 2017, Kaohsiung, Taiwan. pp.369-373, ⟨10.1109/itw.2017.8277994⟩. ⟨hal-02438775⟩