• Title/Summary/Keyword: Cross-correlation distribution

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Derivation of Relationship between Cross-site Correlation among data and among Estimators of L-moments for Generalize Extreme value distribution (Generalized Extreme Value 분포 자료의 교차상관과 L-모멘트 추정값의 교차상관의 관계 유도)

  • Jeong, Dae-Il
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.3B
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    • pp.259-267
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    • 2009
  • Generalized Extreme Value (GEV) distribution is recommended for flood frequency and extreme rainfall distribution in many country. L-moment method is the most common estimation procedure for the GEV distribution. In this study, the relationships between the cross-site correlations between extreme events and the cross-correlation of estimators of L-moment ratios (L-moment Coefficient of Variation (L-CV) and L-moment Coefficient of Skewness (L-CS)) for data generated from GEV distribution were derived by Monte Carlo simulation. Those relationships were fit to the simple power function. In this Monte Carlo simulation, GEV+ distribution were employed wherein unrealistic negative values were excluded. The simple power models provide accurate description of the relationships between cross-correlation of data and cross-correlation of L-moment ratios. Estimated parameters and accuracies of the power functions were reported for different GEV distribution parameters combinations. Moreover, this study provided a description about regional regression approach using Generalized Least Square (GLS) regression method which require the cross-site correlation among L-moment estimators. The relationships derived in this study allow regional GLS regression analyses of both L-CV and L-CS estimators that correctly incorporate the cross-correlation among GEV L-moment estimators.

Cross-Correlation Distribution of a p-ary m-Sequence Family Constructed by Decimation (Decimation에 의해 생성된 p-진 m-시퀀스 군의 상호 상관 값의 분포)

  • Seo, Eun-Young;Kim, Young-Sik;No, Jong-Seon;Shin, Dong-Joon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.9C
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    • pp.669-675
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    • 2008
  • For an odd prime p, n=4k and $d=((p^2k+1)/2)^2$, there are $(p^{2k}+1)/2$ distinct decimated sequences, s(dt+1), $0{\leq}l<(p^{2k}+1)/2$, of a p-ary m-sequence, s(t) of period $p^n-1$. In this paper, it is shown that the cross-correlation function between s(t) and s(dt+l) takes the values in $\{-1,-1{\pm}\sqrt{p^n},-1+2\sqrt{p^n}\}$ and their, cross-correlation distribution is also derived.

The distribution of the values of the cross-correlation function between the maximal period binary sequences (최대 주기를 갖는 이진 수열의 상호상관 함숫값의 분포)

  • Kwon, Min-Jeong;Cho, Sung-Jin
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.6
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    • pp.891-897
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    • 2013
  • The spectrum and the number of the values of the cross-correlation function between the maximal period binary sequences have been extensively studied because of their importance in communications applications. In this paper, we propose the new family of the sequences using the decimation $d=2^{m-1}(3{\cdot}2^{m}-1)$. And we find the spectrum of the cross-correlation function of the sequences and analyze the number of times each value occurs for $0{\leq}{\tau}{\leq}2^{n}-2$.

A Study on Flow Characteristics of a Ginseng Cleaner Using PIV (PIV에 의한 인삼세척기의 특성연구)

  • 송치성
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2000.05a
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    • pp.140-145
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    • 2000
  • The objective of experimental study is to apply simultaneous measurement by PIV(Particle Image Velocimetry) to high_speed flow characteristics within ginseng cleaner model. Three different kinds of flow rate(15.20 27ℓ/min) are selected as experimental condition. Optimized cross correlation identification to obtain velocity vectors is implemented by direct calculation of correlation coefficients. The instantaneous velocity distribution time0mean velocity distribution and velocity profile are represented quantitatively for the deeper understanding of the flow characteristics in a ginseng cleaner model.

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Analysis of Cross-correlation Frequency between Non-linear Binary Sequences Family with 5-Valued Cross-Correlation Functions (5-값 상호상관관계를 갖는 비선형 이진수열군의 상호상관관계 빈도 분석)

  • Choi, Un-Sook;Cho, Sung-Jin
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.12
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    • pp.2875-2882
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    • 2013
  • The design of PN(Pseudo Noise) sequences with good cross-correlation properties is important for many research areas in communication systems. Also analyses of cross-correlation frequency between designed sequences have been researched. In this paper we analyze of cross-correlation distribution and properties of non-linear binary sequences family $S^r=\{Tr^m_1\{[Tr^n_m(a{\alpha}^t+{\alpha}^{dt}]^r\}{\mid}a{\in}GF(2^m),0{\leq}t &lt; 2^n-1\}$, where $gcd(r,2^m-1)=1$ with 5-valued cross-correlation.

Testing Weak-Lensing Maps of Galaxy Clusters with Dense Redshift Surveys Testing Weak-Lensing Maps of Galaxy Clusters with Dense Redshift Surveys

  • Hwang, Ho Seong;Geller, Margaret J.;Diaferio, Antonaldo;Rines, Kenneth J.;Zahid, H. Jabran
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.2
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    • pp.54-54
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    • 2014
  • We use dense redshift surveys of nine galaxy clusters at z ~ 0.2 to compare the galaxy distribution in each system with the projected matter distribution from weak lensing. By combining 2087 new MMT/Hectospec redshifts and the data in the literature, we construct spectroscopic samples within the region of weak-lensing maps of high (70-89%) and uniform completeness. With these dense redshift surveys, we construct galaxy number density maps using several galaxy subsamples. The shape of the main cluster concentration in the weak-lensing maps is similar to the global morphology of the number density maps based on cluster members alone, mainly dominated by red members. We cross correlate the galaxy number density maps with the weak-lensing maps. The cross correlation signal when we include foreground and background galaxies at 0.5zcl < z < 2 zcl is 10 - 23% larger than for cluster members alone at the cluster virial radius. The excess can be as high as 30% depending on the cluster. Cross correlating the galaxy number density and weak-lensing maps suggests that superimposed structures close to the cluster in redshift space contribute more significantly to the excess cross correlation signal than unrelated large-scale structure along the line of sight. Interestingly, the weak-lensing mass profiles are not well constrained for the clusters with the largest cross correlation signal excesses (>20% for A383, A689 and A750). The fractional excess in the cross correlation signal including foreground and background structures could be a useful proxy for assessing the reliability of weak-lensing cluster mass estimates.

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Measurement of Flow Field in a Ginseng Cleaner Model Using PIV (PIV에 의한 인삼세척기 모델 내부의 유동계측)

  • 송치성
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.1
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    • pp.139-145
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    • 2001
  • The objective of experimental study is to apply simultaneous measurement by PIV(Particle Image Velocimetry) to high_speed flow characteristics within ginseng cleaner model. Three different kinds of flow rate(15. 20, 27l/min) are selected as experimental condition. Optimized cross correlation identification to obtain velocity distribution, time-mean velocity distribution, velocity, profile, kinetic energy and turbulence intensity are represented quantitatively for the deeped understanding of the flow characteristics in a ginseng cleaner model.

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PIV Measurement and Flow Characteristics of Internal Flow Field within Ginseng Washing Machine (인삼세척기 내부유동장의 PIV계측 및 유동특성)

  • Na, Eun-Su;Song, Chi-Seong
    • 연구논문집
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    • s.30
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    • pp.59-65
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    • 2000
  • The objective of experimental study is to apply simultaneous measurement by PIV(Particle Image Velocimetry)to high_speed flow characteristics within Ginseng washing machine. Three different kinds of flow rate(15,20,27 $\ell$/min)are selected as experimental conditions. Optimized cross correlation identification to obtain velocity vectors is implemented by direct calculation of correlation coefficients. Instantaneous velocity distribution, time-mean velocity distribution and velocity profiles are represented quantitatively at the full-scale region for the deeper understanding of the flow characteristics in Ginseng washing machine.

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Design of Binary Sequences with Optimal Cross-correlation Values (최적의 상호상관관계를 갖는 이진 수열의 설계)

  • Choi, Un-Sook;Cho, Sung-Jin
    • The Journal of the Korea institute of electronic communication sciences
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    • v.6 no.4
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    • pp.539-544
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    • 2011
  • Balanced binary sequences of period $2^n-1(n{\geq}1)$ having the two-valued autocorrelation function have many applications in spread-spectrum communications system. In this paper we propose new nonlinear binary sequences which are constructed from Legendre sequences with the same cross-correlation as the sequences proposed by Cho. These sequences include the m-sequences, GMW sequences, Kasami sequences and No sequences which are described in terms of the trace function over a finite field. Also the proposed sequences have more low cross-correlation distribution than the quadratic form sequences proposed by Klapper.

Rainstorm Tracking Using Statistical Analysis Method (통계적 기법을 이용한 국지성집중호우의 이동경로 분석)

  • Kim Sooyoung;Nam Woo-Sung;Heo Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.194-198
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    • 2005
  • Although the rainstorm causes local damage on large scale, it is difficult to predict the movement of the rainstorm exactly. In order to reduce the rainstorm damage of the rainstorm, it is necessary to analyze the path of the rainstorm using various statistical methods. In addition, efficient time interval of rainfall observation for the analysis of the rainstorm movement can be derived by applying various statistical methods to rainfall data. In this study, the rainstorm tracking using statistical method is performed for various types of rainfall data. For the tracking of the rainstorm, the methods of temporal distribution, inclined Plane equations, and cross correlation were applied for various types of data including electromagnetic rainfall gauge data and AWS data. The speed and direction of each method were compared with those of real rainfall movement. In addition, the effective time interval of rainfall observation for the analysis of the rainstorm movement was also investigated for the selected time intervals 10, 20, 30, 40, 50, and 60 minutes. As a result, the absolute relative errors of the method of inclined plane equations are smaller than those of other methods in case of electromagnetic rainfall gauges data. The absolute relative errors of the method of cross correlation are smaller than those of other methods in case of AWS data. The absolute relative errors of 30 minutes or less than 30 minutes are smaller than those of other time intervals.

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