2014
DOI: 10.1088/0256-307x/31/10/100602
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Verification and Application of the Border Effect in Precision Measurement

Abstract: 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 b… Show more

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Cited by 13 publications
(11 citation statements)
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“…12 With the conventional phase comparison methods based on the compared signal period, it is difficult to obtain higher measuring precision. 13,14 Given two frequency signals are f 1 = A f maxc and f 2 = B f maxc , where the two positive integers A and B are prime with each other and f maxc is the greatest common factor frequency between f 1 and f 2 ; the equivalent phase comparison frequency between them is…”
Section: Phase Comparison Principle and Key Circuitmentioning
confidence: 99%
See 1 more Smart Citation
“…12 With the conventional phase comparison methods based on the compared signal period, it is difficult to obtain higher measuring precision. 13,14 Given two frequency signals are f 1 = A f maxc and f 2 = B f maxc , where the two positive integers A and B are prime with each other and f maxc is the greatest common factor frequency between f 1 and f 2 ; the equivalent phase comparison frequency between them is…”
Section: Phase Comparison Principle and Key Circuitmentioning
confidence: 99%
“…For example, the accuracy of frequency standard has reached 10 βˆ’16 , and the stability of the ultra high-stability crystal oscillator has also reached 10 βˆ’14 /s. [12][13][14] The corresponding comparison device must be developed at the same time. Through the experiments for a long time, the concept of fuzzy areas of measurement resolution and its border is proposed.…”
Section: Introductionmentioning
confidence: 99%
“…[9,10] On the basis of our long-term study of high-precision measurement, we propose the concept of a fuzzy area of resolution and its border. [11] Because of the higher stability of the measurement resolution, the comparison characteristics between the object to be measured and the standard signal can reflect different detection results inside and outside the fuzzy areas at the border more sensitively. Measurement precision only depends on resolution stability which is much higher than the resolution itself.…”
Section: Introductionmentioning
confidence: 99%
“…For instance, when the standard frequency is close to the frequency to be measured or is a multiple of it, concentrated fuzzy areas are generated, and measurement results which are apparently higher than the circuit resolution by 2-3 orders of magnitude, are acquired. [11,12] There are a variety of frequency signals in frequency standard technology, telecommunication, exploration of natural phenomena, and electronic engineering, [13][14][15] such as the frequency signal of 1, 420, 405, 750 Hz of a hydrogen atom's energy-level transition, 19.59425 MHz in a hydrogen atomic clock, 9, 192, 631, 770 Hz of a cesium-atom energy-level transition, 16.384 MHz and 19.44 MHz in telecommunication, 4.43361875 MHz of the subcarrier in a color television, signals used in global positioning systems (GPS), etc. When only one standard frequency signal is utilized to measure any signal in a wide range of frequencies, the phase coincidence detection fuzzy areas are always discrete because of the complex relationship between them.…”
Section: Introductionmentioning
confidence: 99%
“…The time on which π‘ˆ 𝑛 jumps to π‘ˆ 1 is used as the switch time of the gate, that is, taking the border of the fuzzy area as the switch, the stability of the border reflects the ultra fine phase difference change. It gets rid of the restriction of the converter 090601-2 resolution, [13,14] and then the phase locked function with high accuracy is completed.…”
mentioning
confidence: 99%