Power Allocation--Rapidly Varying Phase Error

The performance of command and telemetry systems, useful in deep-space communications, is frequently affected by the radio-frequency phase error which is introduced at the point of reception by means of the carrier tracking loop. This paper presents design trends for the case where this phase error may vary over the duration of the signaling interval, i.e., the case where the ratio of the system data rate to carrier tracking loop bandwidth is less than one. Results are given for the case of binary phase-shift keyed (PSK) signaling.