Joint Optimization of Automatic Equalization and Carrier Acquisition for Digital Communication

In single-sideband amplitude-modulation digital communication systems with transversal filter equalization, 1,2 the adjustment of the carrier phase is critical to the system's performance when the number of equalizer taps is not large. In this paper, a method is proposed for setting the carrier phase jointly with the automatic equalizer to minimize the mean-square equalization error. 1069 1070 TI-IE BELL SYSTEM TECHNICAL J O U R N A L , J U L Y - A U G U S T 1970 We formulate a mathematical model of this study in Section II; in Sections I I I and IV, we analyze the system and develop a receiver structure. The problem of convergence is studied in Sections V and VI to determine if the equalization error will converge to the absolute minimum by the proposed method and whether such convergence depends on the initial settings of the parameters. We also consider step sizes of the adjustments. In Section VII, we derive explicit formulas for evaluating the system's performance. A voiceband data communication system is simulated on a computer to test the proposed method and the results are described in Section VIII.