مزار Homework 3 Fusion of bit estimates In wireless cellular communications, fusing information from the various base stations can improve link performance. Consider a bank of K detectors, each operating on the same input data observed through individual independent channels. We assume the following: The K detectors make independent decisions, each channel is binary symmetric with respective error probabilities (P1, P1.PK) and the transmitted bits have equal a priori probability. الا Channel 1 Detector 1 32.1 Detector 2 Channel 2 fusion b bt rule Channel K YKL Detector K 1] The receiver makes decisions along to the majority rule, i.e. it counts among the K received bits the respective number of 0 and 1 and decides in favor of the majority bit. Give the error probability of this receiver P(error) as a function of (P1, P2....PK). It is useful to distinguish K even and K odd. Finally, consider the particular case (P1, P2....PK)= p. host receiver with resnect to the error probability) is the