• Title/Summary/Keyword: linearity test

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A Consistent Test for Linearity for a Class of General First order Nonlinear Time Series

  • Hwang, Sun Y.
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.451-458
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    • 1998
  • Problem of testing linearity among general class of first order nonlinear time series models is discussed. The null hypotheses of linearity is identified via conditional expectations. A consistent test is then suggested and relevant limiting results are derived. It is worth indicating that any specific alternatives are not specified.

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A linearity test statistic in a simple linear regression (단순회귀모형에서 선형성 검정통계량)

  • Park, Chun Gun;Lee, Kyeong Eun
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.2
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    • pp.305-315
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    • 2014
  • In a simple linear regression, a linear relationship between an explanatory variable and a response variable can be easily recognized in the scatter plot of them. The lack of fit test for the replicated data is commonly used for testing the linearity but it is not easy to test the linearity when the explanatory variable is not replicated. In this paper, we propose three new test statistics for testing the linearity regardless of replication using the principle of average slope and validate them through several simulations and empirical studies.

Regression Diagnostic Using Residual Plots

  • Oh, Kwang-Sik
    • Communications for Statistical Applications and Methods
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    • v.8 no.2
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    • pp.311-317
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    • 2001
  • It is necessary to check the linearity of selected covariates in regression diagnostics. There are various graphical methods using residual plots such as partial residual plots, augmented partial residual plots and combining conditional expectation and residual plots. In this paper, we propose the modified pseudolikelihood ratio test statistics based on these residual plots to test linearity of selected covariate. These test statistics which measure the distance between the nonparametric and parametric models are derived as a ratio of quadratic forms. The approximate distribution of these statistics is calculated numerically by using three moments. The power comparison of these statistics is given.

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Analysis of Non-linearity Characteristic of GOCI (COMS 해양탑재체의 비선형성 특성 분석)

  • Kang, Geum-Sil;Youn, Heong-Sik
    • Aerospace Engineering and Technology
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    • v.8 no.2
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    • pp.1-7
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    • 2009
  • The Geostationary Ocean Color Imager (GOCI) is under development to provide a monitoring of ocean-color around the Korean Peninsula from geostationary platforms. It is planned to be loaded on Communication, Ocean, and Meteorological Satellite (COMS) of Korea. In this study, the radiometric model of GOCI, which is constructed based on the functional model of sub-system, is introduced. Non-linearity for each channel is analyzed in terms of linear gain and nonlinear gain by using the radiometric model. The non-linearity characteristic is validated by using test data which have been achieved during ground test at payload level. The non-linearity $G^3$/b shows identical characteristic for all channels.

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A Built-in Self-Test of Static Parameters for Analog-to-Digital Converters (아날로그-디지털 변환기의 정적 파라미터 테스트를 위한 내장 자체 테스트 방법)

  • Kim, In-Cheol;Jang, Jae-Won;Kang, Sung-Ho
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.49 no.5
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    • pp.30-36
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    • 2012
  • A new BIST(Built-In Self-Test) scheme to test ADC(Analog-to-Digital Converter) with a transition detector is proposed. The proposed BIST is able to replaces histogram method, the most popular approach in static testing of ADC. With a ramp signal as an input test stimulus, the proposed BIST calculates ADC's static parameters such as offset, gain, INL(Integral Non-Linearity) and DNL(Differential Non-Linearity). The three detectors in the proposed BIST can deal with a transient zone problem, a phenomenon due to random noise in real test environments and are cost efficient at various acceptable ranges determined as a test spec. The simulation results validate that our method performs accurate static test and show the reduction of the hardware overhead.

A study on the linearity improvement of a vibrating gyroscope by output feedback (출력신호 궤환을 통한 진동자이로의 선형성 향상에 관한 연구)

  • Park, Sung-Wook;Oh, Jun-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.7
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    • pp.1013-1020
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    • 1997
  • Among various gyroscopes, the vibrating gyroscope has advantages such as compact size, mass-productivity and low cost. However this kind of gyroscope usually suffer from low linearity and low signal to noise ratio. Therefore, it is necessary to study on vibrating gyroscope to improve performance. In this paper, triangular cross section si selected in consideration for several points. The existing designs of exciting and sensing have some problems such that small signal size and low linearity. This paper proposes new design of exciting and sensing which is named one period exciting and the other period sensing. This design improves signal size, but it cannot improve linearity. This is because above two designs are the same open-loop type. So, another new design is proposed, which is named rebalancing, is applied to one period exciting and the other period sensing. This design are closed-loop type. It feedbacks the output signal. According to control theory, it can improve linearity. The circuits of each design are realized and used to calibration test. Calibration results show that new design of rebalancing improves linearity and signal size.

Test Algorithm and Measurement of Housekeeping A/D Converter (하우스킵핑 A/D 변환기의 테스트 알고리즘과 측정)

  • 박용수;유흥균
    • Journal of the Semiconductor & Display Technology
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    • v.3 no.4
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    • pp.19-27
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    • 2004
  • The characteristic evaluation of A/D converter is to measure the linearity of the converter. The evaluation of the linearity is to measure the DNL, INL, gain error and offset error in the various test parameters of A/D converter. Generally, DNL and INL are to be measured by the Histogram Test Algorithm in the DSP-based ATE environment. And gain error and offset error are to be measured by the calculation equation of the measuring algorithm. It is to propose the new Concurrent Histogram Test Algorithm for the test of the housekeeping A/D converter used in the CDMA cellular phone. Using the proposed method, it is to measure the DNL, INL, gain error and offset error concurrently and to show the measured results.

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On-Site Evaluation Technique of Linearity for Ratio Error and Phase Angle Error of Current Transformer Comparison Measurement Equipment (전류변성기 비교 측정 장치의 비오차 및 위상각 오차의 직선성 현장 평가기술)

  • Jung, Jae-Kap;Kwon, Sung-Won;Lee, Sang-Hwa;Kang, Jeon-Hong;Kim, Myung-Soo
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.55 no.6
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    • pp.313-316
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    • 2006
  • A method for evaluation of the linearity of both the ratio error and phase angle error in the current transformer(CT) comparison measurement equipment has been developed by employing the standard resistors with negligible AC-DC resistance difference less than $10^{-5}$. The non-reactive standard resistors for the linearity check of the system are used as the external burden connected with the secondary of CT under test. These burdens consist of nine standard resistors, with the nominal resistance of $0.01{\Omega},\;0.1{\Omega},\;0.2{\Omega},\;0.4{\Omega},\;0.6{\Omega},\;1{\Omega},\;2{\Omega},\;4{\Omega}$, and $10{\Omega}$. For linearity check, the developed method has been applied in the CT comparison measurement equipment belonging to the industry.

CCD Non-uniformity Correction Method based on Pixel Non-Linearity Model (픽셀 비선형성 모델을 기반으로 한 영상센서 불균일 특성 보정)

  • Kim, Young-Sun;Kong, Jong-Pil;Heo, Haeng-Pal;Park, Jong-Euk;Yong, Sang-Soon
    • Aerospace Engineering and Technology
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    • v.9 no.1
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    • pp.28-34
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    • 2010
  • All pixels of image sensor do not react uniformly when the light of same radiance enters into the camera. This non-uniformity has a direct influence on the image quality. However we can overcome it by calibration process under the special test-setup. Usually it is used the algorithm to get the correction coefficients under the specific illumination condition. But, this method has drawback in the very low or very high illumination due to pixel non-linearity. This paper describes the robust algorithm, which calculates the correction coefficients based on the pixel non-linearity model, against thew hole radiance. The paper shows the non-uniformity test results with the own camera and the specified test equipments as well. The results shows the best performance over the entire radiance when this method is applied.

Built-In Self-Test of DAC using CMOS Structure (CMOS 구조를 이용한 DAC의 자체 테스트 기법에 관한 연구)

  • Cho, Sung-Chan;Kim, In-Soo;Min, Hyoung-Bok
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.1862-1863
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    • 2007
  • Testing the analog/mixed-signal circuitry of a mixed-signal IC has become a difficult task. Offset error, gain error, Non-monotonic behavior, Differential Non-linearity(DNL) error, Integral Non-linearity(INL) error are important specifications used as test parameters for DAC. In this paper, we propose an efficient BIST structure for DAC testing. The proposed BIST adds the circuit which uses the capacitor and op-amp, and accomplishes a test.

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