Carrier Synchronization and Detection of Polyphase Signals

Digital communication networks used for the distribution of high-speed digital information are currently the subject of design studies for many civil and military applications. This paper presents results that are useful in such studies as well as in network planning. In particular, the paper is concerned with the problems of carrier synchronization and noisy reference detection of polyphase signals. Reconstruction of coherent references for the detection of polyphase [ -ary phase-shift-keyed (PSK)] signals is considered and analyzed for three carrier reconstruction loops, namely, th power (multiply-and-divide) loops, generalized Costas ( ) loops, and extensions of data-aided (modulation wipeoff) loops. General expressions for the error probability are developed when the reconstructed reference signals are noisy. These expressions are evaluated numerically for cases of practical interest and compared with differentially coherent reception.