Suppose there are N independent receivers with BER_1, BER_2, ... , and BER_N.
The output of each receiver is '0' or '1' (NRZ-OOK modulation scheme is used).
The final output bit is decided by the number of bit majority. For example if there are [N/2] + 1 bits of '0' the final output bits is '0'. Now I need to derive the BER equation for the final output, however I am not good at probability.
The block diagram of the system is as below.
Note that BER denotes the probability of wrong received bit.
If BER denotes the probability of wrong received bit., then when you write down the probability to get that final rezult from N obserwation, you find those values of the unknown parameters, which MINIMIZE this probabiliti. I would call this approach MINIMUM LIKELIHOOD ESTIMATION.
You'll find out how the estimators are obtained in the same way as the Maximum Likelihood Estimation. It is in any book on statistics.
Good luck, and keep in touch.
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