Verification and Application of the Border Effect in Precision Measurement

Zhou, Wei; Li, Zhiqi; Bai, Lina; Xuan, Zong-Qiang; Chen, Faxi; Yu, Jianhua; Gao, Jian-Ning; Miao, Miao; Dong, Shaofeng; Song, Huimin; Wei, Zhong; Ye, Yunxia

doi:10.1088/0256-307x/31/10/100602

Cited by 13 publications

(11 citation statements)

References 13 publications

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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%

“…For example, the accuracy of frequency standard has reached 10 −16 , and the stability of the ultra high-stability crystal oscillator has also reached 10 −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%

See 1 more Smart Citation

On precise phase difference measurement approach using border stability of detection resolution

Bai

Zhou

et al. 2015

Review of Scientific Instruments

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For the precise phase difference measurement, this paper develops an improved dual phase coincidence detection method. The measurement resolution of the digital phase coincidence detection circuits is always limited, for example, only at the nanosecond level. This paper reveals a new way to improve the phase difference measurement precision by using the border stability of the circuit detection fuzzy areas. When a common oscillator signal is used to detect the phase coincidence with the two comparison signals, there will be two detection fuzzy areas for the reason of finite detection resolution surrounding the strict phase coincidence. Border stability of fuzzy areas and the fluctuation difference of the two fuzzy areas can be even finer than the picoseconds level. It is shown that the system resolution obtained only depends on the stability of the circuit measurement resolution which is much better than the measurement device resolution itself.

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Section: Phase Comparison Principle and Key Circuitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On precise phase difference measurement approach using border stability of detection resolution

Bai

Zhou

et al. 2015

Review of Scientific Instruments

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“…[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%

Border effect-based precise measurement of any frequency signal

Bai¹,

Ye²,

Xuan³

et al. 2015

Chinese Phys. B

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Limited detection resolution leads to fuzzy areas during the measurement, and the discrimination of the border of a fuzzy area helps to use the resolution stability. In this way, measurement precision is greatly improved, hence this phenomenon is named the border effect. The resolution fuzzy area and its application should be studied to realize highresolution measurement. During the measurement of any frequency signal, the fuzzy areas of phase-coincidence detection are always discrete and irregular. In this paper the difficulty in capturing the border information of discrete fuzzy areas is overcome and extra-high resolution measurement is implemented. Measurement precision of any frequency-signal can easily reach better than 1 × 10 −11 /s in a wide range of frequencies, showing the great importance of the border effect. An in-depth study of this issue has great significance for frequency standard comparison, signal processing, telecommunication, and fundamental subjects.

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“…The time on which 𝑈 𝑛 jumps to 𝑈 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%

Direct Digital Frequency Control Based on the Phase Step Change Characteristic between Signals

Jia¹,

Sun²,

Zhou³

et al. 2017

Chinese Phys. Lett.

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We present a new digital phase lock technology to achieve the frequency control and transformation through high precision multi-cycle group synchronization between signals without the frequency transformation circuit. In the case of digital sampling, the passing zero point of the phase of the controlled signal has the phase step characteristic, the phase step of the passing zero point is monotonic continuous with high resolution in the phase lock process, and using the border effect of digital fuzzy area, the gate can synchronize with the two signals, the quantization error is reduced. This technique is quite different from the existing methods of frequency transformation and frequency synthesis, the phase change characteristic between the periodic signals with different nominal is used. The phase change has the periodic phenomenon, and it has the high resolution step value. With the application of the physical law, the noise is reduced because of simplifying frequency transformation circuits, and the phase is locked with high precision. The regular phase change between frequency signals is only used for frequency measurement, and the change has evident randomness, but this randomness is greatly reduced in frequency control, and the certainty of the process result is clear. The experiment shows that the short term frequency stability can reach 10−12/s orders of magnitude.

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Verification and Application of the Border Effect in Precision Measurement

Cited by 13 publications

References 13 publications

On precise phase difference measurement approach using border stability of detection resolution

On precise phase difference measurement approach using border stability of detection resolution

Border effect-based precise measurement of any frequency signal

Direct Digital Frequency Control Based on the Phase Step Change Characteristic between Signals

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