Multichannel two-stage detection of signals

This paper deals with multichannel two-stage sequential detectors (MTSDs) b ased on different kinds of decision statistics. Explicit expressions are de rived for the basic performance measures of such detectors: probability of false alarm, probability of detection, and average sample number (ASN). The se characteristics of an MTSD depend on its main parameters: decision thres holds and durations of both stages. An efficient optimization method of MTS D parameters, which uses computer simulations to find decision statistics, is proposed. This technique is then applied to calculate parameters of vari ous MTSDs with many channels (up to a few thousand) and to compare their pe rformance with conventional detectors. Closed-form empirical formulas appro ximating the obtained measurement points are given. Results of computer sim ulations prove the high practical usefulness of the presented approach.