Optimum Power Division for Phase-Modulated Deep-Space Communications Links

Optimum power division is required in deep-space communications links to maximize transmission range or data rate and to permit efficient performance of both carrier tracking and data reception functions. A simple, graphical technique has been developed for phase-modulated links to determine the particular set of peak phase deviations, or modulation indexes, which results in an optimum power division between the carrier and any combination of sine-wave and square-wave subcarriers. Whereas previous methods for the selection of modulation indexes generally necessitated either lengthy solutions of simultaneous equations or complex computer programs, the methods developed in this paper involve simplified graphical procedures, using the trigonometric and Bessel function expressions which describe the power balance between carrier and subcarriers. The optimization procedure is a valuable tool for preliminary design analysis and should be of interest to communications-system engineers, The techniques developed here are particularly applicable when subcarriers have wide differences in data rates, since under these conditions, it becomes increasingly difficult to select arbitrarily the proper modulation indexes. Channel optimization is developed for both nominal and worst-case link conditions and examples are presented to demonstrate the techniques involved.