Detection resolution is crucial for improvement of the measurement precision in the device and instrument. Because of the limited resolution, a fuzzy area with the truth-value as its center is found during the detection. The finding for improving the measurement precision by the border of fuzzy area is first introduced. The higher resolution can be captured by the higher resolution stability which makes the different detection results of the inner and outer fuzzy area on the border reflected more sensitively between the measure and the reference quantity. The system resolution obtained only depends on the stability of measurement resolution, which is much better than the measurement resolution itself. Based on the finding, the measurement precision can be improved two or three orders of magnitude. The finding can be used in various kinds of high precision measurement.

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With the improvement of the accuracy of atomic frequency standard and satellite navigation, the high-resolution phase comparison method is necessary. Using the phase synchronous detection principle, a super-high resolution phase comparison method between frequency standards is proposed based on the greatest common factor frequency, phase group processing and a common frequency source and so on. This method is mainly dependent on the stability of the common frequency standard and its frequency. The ±1 count error can be eliminated effectively. Therefore, higher than 1 ps resolution can be easily reached with a simple instrument. Experimental results show higher than 10 −15 /h precision can be obtained in the long-term frequency standard comparison and the measuring precision can reach 10 −17 for several days of comparison.

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