On Group Phase Quantization and Its Physical Characteristics

The physical characteristics of phase quantum are further revealed, based on the proposition of concepts of the greatest common factor frequency, the least common multiple period, quantized phase shift resolution and equivalent phase comparison frequency. Then the problem of phase comparison between different frequency signals is certified in detail. Using the basic principle of phase comparison between different frequencies and the variation law of group phase difference, a point of view on group phase quantization is presented. Group phase quantum is not only an indivisible individual of group phase, but also a basic unit composing group phase difference. It is equal to the equivalent phase comparison period of phase comparison between different frequencies in size. Experimental results show not only a high measurement resolution of 10⁻¹²/s in frequency measurement based on group phase quantum, but also a super-high locked phase precision of 10⁻¹³/s in active H atomic clock.