Reliability analysis of digital communication systems with imperfect voters

In this paper, we study the problem of achieving optimum redundancy for the digital communication systems, assuming that failure of units (channels and voter) may take either one of two forms. The reliability of the system is defined as the probability of making the correct decision at the output of the system when a digit enters the system. We derive a general expression for reliability of the system and also discuss the optimization issues that maximize system reliability.