Digital communication receivers P5

Synthesis of Synchronization Algorithms In this chapter we derive maximum-likelihood (ML) synchronization algorithms for time and phase. Frequency estimation and synchronization will be treated in Chapter 8. The algorithms are obtained as the solution to a mathematical optimization problem. The performance criterion we choose is the ML criterion. In analogy to filter design we speak of synthesis of synchronization algorithms to emphasize that we use mathematics to find algorithms - as opposed to analyzing their performance. 5.1 Derivation of ML Synchronization Algorithms Conceptually, the systematic derivation of ML synchronizers is straightforward. The likelihood function must be averaged over the unwanted parameters. For example, joint...