Derivation of the Dick Effect from Control-Loop Models for Periodically Interrogated Passive Frequency Standards

摘要

The phase of a frequency standard that uses periodic interrogation and control of a local oscillator (LO) is degraded by a long-term random-- component induced down-conversion of LO noise into the loop passband. The Dick formula for the noise level of this degradation can be derived from explicit solutions of two LO control-loop models. A summary of the derivations is given here.