2021/09/17 by Sadaf Salehkalaibar, Vincent Y. F. Tan, Salehkalaibar, Sadaf +1
Computer Science · Decision Sciences · #Advanced Statistical Process Monitoring #Distributed Sensor Networks and Detection Algorithms #FOS: Computer and information sciences #Information Theory (cs.IT) #VLSI and Analog Circuit Testing
paper · pdf · doi:10.48550/arxiv.2109.08614
openalex publication_date 2021/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we consider sequential testing over a single-sensor, a single-decision center setup. At each time instant t, the sensor gets k samples (k>0) and describes the observed sequence until time t to the decision center over a zero-rate noiseless link. The decision center sends a single bit of feedback to the sensor to request for more samples for compression/testing or to stop the transmission. We have characterized the optimal exponent of type-II error probability under the constraint that type-I error probability does not exceed a given threshold ε∈ (0,1) and also when the expectation of the number of requests from decision center is smaller than n which tends to infinity. Interestingly, the optimal exponent coincides with that for fixed-length hypothesis testing with zero-rate communication constraints.