• Title/Summary/Keyword: Phase variance

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Variance estimation of a double expanded estimator for two-phase sampling

  • Mingue Park
    • Communications for Statistical Applications and Methods
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    • v.30 no.4
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    • pp.403-410
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    • 2023
  • Two-Phase sampling, which was first introduced by Neyman (1938), has various applications in different forms. Variance estimation for two-phase sampling has been an important research topic because conventional variance estimators used in most softwares are not working. In this paper, we considered a variance estimation for two-phase sampling in which stratified two-stage cluster sampling designs are used in both phases. By defining a conditionally unbiased estimator of an approximate variance estimator, which is calculable when all elements in the first phase sample are observed, we propose an explicit form of variance estimator of the double expanded estimator for a two-phase sample. A small simulation study shows the proposed variance estimator has a negligible bias with small variance. The suggested variance estimator is also applicable to other linear estimators of the population total or mean if appropriate residuals are defined.

Estimation of Phase Variance of Acoustic Signals Depending on Turbulence Strength Near the Mukho Port in the East Sea of Korea (동해 묵호항 근처에서의 난류세기인자에 따른 음향수신신호의 위상분산 추정)

  • Kim, Jung-Hun;Bok, Tae-Hoon;Paeng, Dong-Guk;Shim, Tae-Bo;Kim, Young-Kyu;Park, Joung-Soo
    • The Journal of the Acoustical Society of Korea
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    • v.28 no.4
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    • pp.328-335
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    • 2009
  • Phase variance of the acoustic signals has to be investigated with the research of the medium, because the phase of the acoustic signals carries the information of the medium. The phase compensation of the received signals is required for the signal processing of SAS (Synthetic Aperture Sonar) and underwater communication. In this paper, the phase variance of the acoustic signals was studied depending on the micro-scale-turbulence of ocean. The turbulence strength of the locally isotropic and homogeneous turbulence was calculated, and the phase variance affected by the turbulence strength was computed along the ray paths. The CTD and ADCP data were acquired from a buoy system near the Mukho port in the East Sea of Korea and the ray paths were calculated by the Bellhop algorithm. As a result, the turbulence strength was mainly determined by the variation of temperature and flow speed, changing the phase variance of the received signals. Hence, we thought the phase variance should be considered in the sonar operating system.

Interrelationship of phase-error variance and correlation coefficient in microwave imaging (마이크로웨이브 이미징에서 위상오차 분산과 코릴레이션 계수와의 상호관계)

  • 강봉순;장훈기
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.10
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    • pp.1-6
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    • 1997
  • This paper presents the theoretical derivaion relating and image correlationcoeffcient capable of assessing image quality, with phase-error variance in antenna aperture domain. We show that when the phase-error variance of a range bin selected as an adaptive beamformer is known, the quality of the reconstructed image is predictable and moreover, the resultant correlation coeffcient is obviously greater than the derive dlower boudn. To support the derivation, real data are used for image formation where the dominant scatterer algorithm (DSA) is applied for phase compensations.

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The Phase Noise prediction and the third PLL systems on 1/f Noise Modeling of Frequency Synthesizer (주파수합성기의 Phase Noise 예측 및 3차 PLL 시스템에서의 1/f Noise Modeling)

  • 조형래;성태경;김형도
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.5 no.4
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    • pp.653-660
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    • 2001
  • In this paper, we designed 2303.15MHz frequency synthesizer for the purpose of the phase noise prediction. For the modeling of phase noise generated in the designed system through introducing the noise-modeling method suggested by Lascari we analyzed a variation of phase noise as according as that of offset frequency. Especially, for the third-order system of the PLL among some kinds of phase noise generated from VCO we analyzed the aspect of 1/f-noise appearing troubles in the low frequency band. Since it is difficult to analyze mathematically 1/f-noise in the third-order system of the PLL, introducing the concept of pseudo-damping factor has made an ease of the access of the 1/f-noise variance. we showed a numerical formula of 1/f-noise variance in the third-order system of the PLL which is compared with that of 1/f-noise variance in the second-order system of the PLL. As a result, In case of txco we found the reduce rapidly along the offset frequency after passed through that phase-noise was -160dBc/Hz before passed through a loop at 10kHz offset frequency and -162.6705dBc/kHz after passed through the loop, -180dBc/Hz at 100kHz offset frequency and -560dBc/kHz after passed through the loop. We can notice that the variance of third-order system more occurs (or the variance of second-order system in connection with noise bandwidth and variance factor of second-order and third-order system.

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The Phase Noise Prediction and 1/f Noise Modeling of Frequency Synthesizer (주파수합성기의 Phase Noise 예측 및 1/f Noise Modeling)

  • 김형도;성태경;조형래
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2000.10a
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    • pp.180-185
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    • 2000
  • In this paper, we designed 2303.15MHz Sequency synthesizer for the purpose of the phase noise prediction. For the modeling of phase noise Oersted in the designed system through inooducing the noise-modeling method suggested by Lascari we analyzied a variation of phase noise as according as that of offest frequency. Especially, for the third-order system of the PLL among some kinds of phase noise generated from VCO we analyzed the aspect of 1/f-noise appearing troubles in the low frequency band. Since it is difficult to analyze mathematically 1/f-noise in the third-order system of the PLL, introducing the concept of pseudo-damping factor has made an ease of the access of the 1/f-noise variance. we showed a numerical formula of 1/f-noise variance in the third-order system of the PLL which is compared with that of 1/f-noise variance in the second-order system of the PLL

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EFFICIENT REPLICATION VARIANCE ESTIMATION FOR TWO-PHASE SAMPLING

  • Kim, Jae-Kwang;Sitter, Randy
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.11a
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    • pp.327-332
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    • 2002
  • Variance estimation for the regression estimator for a two-phase sample is investigated. A replication variance estimator with number of replicates equal to or slightly larger than the size of the second-phase sample is developed. In these cases, the proposed method is asymptotically equivalent to the full jackknife, but uses smaller number of replications.

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Noise reduction method using a variance map of the phase differences in digital holographic microscopy

  • Hyun-Woo Kim;Myungjin Cho;Min-Chul Lee
    • ETRI Journal
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    • v.45 no.1
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    • pp.131-137
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    • 2023
  • The phase reconstruction process in digital holographic microscopy involves a trade-off between the phase error and the high-spatial-frequency components. In this reconstruction process, if the narrow region of the sideband is windowed in the Fourier domain, the phase error from the DC component will be reduced, but the high-spatial-frequency components will be lost. However, if the wide region is windowed, the 3D profile will include the high-spatial-frequency components, but the phase error will increase. To solve this trade-off, we propose the high-variance pixel averaging method, which uses the variance map of the reconstructed depth profiles of the windowed sidebands of different sizes in the Fourier domain to classify the phase error and the high-spatial-frequency components. Our proposed method calculates the average of the high-variance pixels because they include the noise from the DC component. In addition, for the nonaveraged pixels, the reconstructed phase data created by the spatial frequency components of the widest window are used to include the high-spatialfrequency components. We explain the mathematical algorithm of our proposed method and compare it with conventional methods to verify its advantages.

Accuracy Comparison of Existing 3 Models in Estimating Time-Varying Variance of Phase Deviation of a Simple Planar Oscillator (간단한 평면 오실레이터의 위상 천이의 시변 분산에 대한 기존 3개 모델의 추정 정확도 비교)

  • Jeon, Man-Young
    • Journal of IKEEE
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    • v.19 no.4
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    • pp.500-505
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    • 2015
  • Through Montecarlo simulation, this study compares how accurately the existing three phase deviation models estimate the time-varying variance of a planar oscillator perturbed by Gaussian noises. The comparison reveals that Kaertner model estimates the time-varying variance with about 1000 times higher accuracy than ISF or PP model exhibits. Additionally, it finds that the estimation accuracy of PP model is somewhat higher than that of ISF model.

Relationship Between the Postural Alignments and Spatio-temporal Gait Parameters in Elderly Woman (여성 노인의 자세 정렬과 시공간 보행 변수 사이의 연관성)

  • Kim, Sung-Hyeon;Shin, Ho-Jin;Suh, Hye-Rim;Jung, Kyoung-Sim;Cho, Hwi-Young
    • Journal of the Korean Society of Physical Medicine
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    • v.15 no.3
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    • pp.117-125
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    • 2020
  • PURPOSE: Aging causes changes in the postural alignment and gait due to changes in the nervous and musculoskeletal systems. On the other hand, the relationship between the changes in posture alignment and gait is unclear. This study examined the relationship between the postural alignment and spatiotemporal gait parameters in Korean elderly women. METHODS: Thirty-two-healthy elderly women participated in this study. All subjects were assessed for their posture alignment and gait ability. Stepwise multiple linear regression was performed to determine to what extent the postural alignments could explain the spatiotemporal gait parameters. RESULTS: Coronal head angle was moderately correlated with the velocity (r = -.51), normalized velocity (r = -.46) and gait-stability ratio (r = .58) (p < .05). The trunk angle was moderately correlated with the normalized velocity (r = -.32) and gait-stability ratio (r = .32) and weakly correlated with the velocity (r = -.28) (p < .05). The coronal shoulder angle was moderately correlated with the swing phase (r = -.57), stance phase (r = .56), single limb stance (r = -.56) and double limb stance (r = .51) (p < .05). The coronal head angle and trunk angle accounted for 36% of the variance in velocity, 33% variance in normalized velocity and 46% variance in the gait-stability ratio (p < .05). The coronal shoulder angle accounted for 32% variance in the swing phase, 32% variance in the stance phase, 31% variance in the single limb stance and 26% variance in the double limb stance (p < .05). CONCLUSION: Changes in posture alignment in elderly women may serve as a biomarker to predict a decrease in walking ability due to physical aging.

Generalized Minimum Variance Self-tuning Control of Offset Using Incremental Estimator (증분형 추정기를 사용한 오프세트의 일반화 최소분산형 자기동조제어)

  • 박정일;최계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.4
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    • pp.372-378
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    • 1988
  • The elimination of offsets such as those induced by load disturbance is a principal requirement in the control of industrial processes. In this paper we propose a self-tuning minimum variance control in the two tuypes of k-incremental and integrating form. Since the objective of control design in this paper is a generalized minimum variance control, it can be applied to nonminimum phase system. And we compare the proposed algorithm wiht that of the positional self-tuning control and show that it can also be applied to nonminimum phase system by computer simulation.

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