Optimum Receiver

This chapter provides information on how to detect a transmitted signal correctly in a receiver. The decision theory of wireless communication systems is developed to minimize the probability of error. The chapter introduces several decision theories and focuses on optimum receiver. The decision theory uses a priori information, a posterior information, and likelihood. The Bayesian decision rule is used when there is a priori information and likelihood. The chapter considers a simple system model with the AWGN channel and provides an illustration for the signal detector of a matched filter receiver. Finally, the chapter discusses coherent and noncoherent detection. The matched filter receiver can be used for the coherent detection of modulation schemes. The coherent detection needs expensive and complex carrier recovery circuit but has good performance of detection. The noncoherent detection does not require expensive and complex carrier recovery circuit but has poor performance of detection.