Generalized phase measurement and processing with application in the time-frequency measurement control and link

Traditional phase measurement is limited by the identical nominal frequencies of two compared signals. In a lot of applications, there are higher requirements not only on measurement accuracy, but also on the frequency range of compared signals. After years of exploration and efforts, we have discovered some concepts and characteristics which can reflect mutual phase relationship among different frequency signals, such as Least Common Multiple Period, Phase Difference Quantization Step, Equivalent Phase Comparison Frequency, and the continuous phase group characteristics with the least common multiple period (as the time interval and the quantization step phenomenon that the phase difference of the two different frequency signals will change according to a specific value in one least common multiple period). In the process of experiments, we have discovered ambiguity zone edge effects and measurement method of periodic signal parameter quantization error elimination. We achieved precise frequency source synchronization and link, phase processing and measurement between completely different frequency signals with complex relationship. Through updating concepts, we move phase comparison and processing beyond identical frequency signals and extend to arbitrary frequency signals. Major applications include measurement of transient stability, phase noise measurement, edge effects for accurate frequency measurement method of Serial and Parallel. These breakthroughs promote rapid development in the area of measurement and instrument, and some difficult research problems have been solved.