• Journal of applied mathematics & informatics
• /
• v.4 no.1
• /
• pp.39-46
• /
• 1997

Given to be the $m^{th}$ correlation coefficient of the Rudin-Shapiro polynomials of degrees $2^n-1$, $$\mid$a_m$\mid$ \leq C(2^n)^{\frac{3}{4}}$ and there exists $\kappa \neq 0$ such that $$\mid$a_{\kappa}$\mid$ ＞D(2^n)^{0.73}$ (C and D are universal constants). Here we show that the 0.73 is optimal in the upper vound case.

• Journal of the Institute of Electronics and Information Engineers
• /
• v.51 no.5
• /
• pp.188-194
• /
• 2014

The feature extraction mechanism of the CASA(Computational Auditory Scene Analysis) system uses time continuity and frequency channel similarity to compose a correlogram of auditory elements. In segmentation, we compose a binary mask by using cross-correlation function, mask 1(speech) has the same periodicity and synchronization. However, when there is delay between autocorrelation signals with the same periodicity, it is determined as a speech, which is considered to be a drawback. In this paper, we proposed an algorithm to improve discrimination of channel similarity using Weighted Cross-correlation in segmentation. We conducted experiments to evaluate the speech segregation performance of the CASA system in background noise(siren, machine, white, car, crowd) environments by changing SNR 5dB and 0dB. In this paper, we compared the proposed algorithm to the conventional algorithm. The performance of the proposed algorithm has been improved as following: improvement of 2.75dB at SNR 5dB and 4.84dB at SNR 0dB for background noise environment.

• Journal of The Korean Astronomical Society
• /
• v.35 no.3
• /
• pp.111-121
• /
• 2002

We have measured the correlation functions of the optically selected clusters of galaxies in the Abell and the APM catalogs, and of the X-ray clusters in the X-ray-Brightest Abell-type Clusters of galaxies (XBACs) catalog and the Brightest Clusters Sample (BCS). The same analysis method and the same method of characterizing the resulting correlation functions are applied to all observational samples. We have found that the amplitude of the correlation function of the APM clusters is much higher than what has been previously claimed, in particular for richer subsamples. The correlation length of the APM clusters with the richness R $\ge$ 70 (as defined by the APM team) is found to be $r_0 = 25.4_{-3.0}^{+3.1}\;h^{-1}$ Mpc. The amplitude of correlation function is about 2.4 times higher than that of Croft et al. (1997). The correlation lengths of the Abell clusters with the richness class RC $\ge$ 0 and 1 are measured to be $r_0 = 17.4_{-1.1}^{+1.2}$ and $21.0_{-2.8}^{+2.8}\;h^{-1}$ Mpc, respectively, which is consistent with our results for the APM sample at the similar level of richness. The richness dependence of cluster correlations is found to be $r_0= 0.40d_c + 3.2$ where $d_c$ is the mean intercluster separation. This is identical in slope with the Bahcall & West (1992)'s estimate, but is inconsistent with the weak dependence of Croft et al. (1997). The X-ray bright Abell clusters in the XBACs catalog and the X-ray selected clusters in the BCS catalog show strong clustering. The correlation length of the XBACs clusters with $L_x {\ge}0.65{\times} 10^{44}\;h^{-2}erg\;s^{-1}$ is $30.3_{-6.5}^{+8.2}\;h^{-1}$ Mpc, and that of the BCS clusters with $L_x {\ge}0.70{\times} 10^{44}\;h^{-2}erg\;s^{-1}$ is $30.2_{-8.9}^{+9.8}\;h^{-1}$ Mpc. The clustering strength of the X-ray clusters is much weaker than what is expected from the optical clusters.

• East Asian mathematical journal
• /
• v.29 no.5
• /
• pp.529-536
• /
• 2013

In this paper, we find the values and the number of occurrences of each value of the cross-correlation function $C_d({\tau})$ when $d=\frac{2^{k-1}}{2^s-1}(2^{k(i+1)}-2^{ki}+2^{s+1}-2^k-1)$, where n = 2k, s is an integer such that 2s divides k, and i is odd.

• Journal of radiological science and technology
• /
• v.22 no.2
• /
• pp.41-46
• /
• 1999

Osteoporosis, which causes mainly fracture of the spine, proximal femur and distal radius by minimal trauma, is a major public health problem and its prevalence is steadily increasing in Korea according to the development of public health care. There are reliable methods for diagnosis based on bone densitometry. Early detection and intervention are important for reducing the incidence of fractures. A consensus definition of osteoporosis, based on bone density measurement, has been developed by the World Health Organization(WHO). In this study, bone mineral density(RMD) was measured by dual energy x-ray absorptiometry(DEXA) at the proximal femur and lumbar spine in 132 post-menopausal women. The purpose of this study is to find influential factors on the BMD of the proximal femur and the lumbar spine and to analyze correlation between BMD and the problematic factors. We obtained the following results : 1. Mean BMD score, T-score and Z-score of the proximal femur were $0.81(g/cm^2)$, -2.45(S.D.) and -2.09(S.D.) respectively and in the lumbar spine were $0.83(g/cm^2)$, -2.02(S.D.), -2.43(S.D.) respectively. 2. In correlation analysis between BMD and many factors, correlation coefficients were -0.467, 0.212, -0.321 and 0.241 in age, height, duration after menopause respectively. BMI and the residuals were comparatively small. 3. Correlation coefficients to age matched BMD, in height and body weight were 0.222 and 0.241, in age and duration after menopause were -0.268, -0.282. 4. The fracture threshold of proximal femur BMD to the 90th percentile was $0.845(g/cm^2)$. 5. At the result of multiple regression analysis, age, body weight, $BMI(kg/m^2)$ and duration after menopause described as significant variables.

• The Journal of Korean Obstetrics and Gynecology
• /
• v.25 no.4
• /
• pp.46-55
• /
• 2012

Objectives: It is well known that genetic factors and environmental factors play major role in aging skin. In general, son and daughter take after their parents in appearance. But comparability of skin properties in Korean family has not been well estimated. So we evaluated the correlation of skin properties in Korean mother-daughter pairs. Methods: 10 couples of mother and daughter pair(n=20) participate in this study. Mothers and daughters were aged $50.6{\pm}2.459$ and $23.8{\pm}2.15$ years, respectively. Skin moisture, sebum, skin color and elasticity is measured using non-invasive method : Corneometer CM825, Sebumeter(MPA580), Mexameter MX18, Cutometer MPA580. Statistical analysis program we used is Minitab 14 Korea. Results: The Skin moisture of mother group was significantly higher than daughter group. And skin elasticity(R2) of the daughter group was significantly higher than mother group. In the results of correlation analysis between mother and daughter pairs, skin elasticity(R2) had high positive correlation(r=0.729, p=0.026). But skin moisture, sebum, melanin index, erythema index and skin elasticity(R5) did not be confirmed a significant correlation. Conclusions: Skin elasticity(R2) is the only factor that showed high positive correlation significantly in mother and daughter pairs. Mother and daughter share the genetic factors and environmental factors that influence skin aging. So, mother's aging pattern will be a good guide for anti-aging of daughters.

• Journal of information and communication convergence engineering
• /
• v.8 no.2
• /
• pp.155-158
• /
• 2010

In this article, we proposed a new interference canceller using the adaptive algorithm. We designed constant modulus algorithm-correlation normailized least mean square (CMA-CNLMS) for wireless system. This structure is normalized LMS algorithm using correlation between the desired and input signal for cancelling the interference signals in the wideband code division multiple access (WCDMA) system. We showed that the proposed algorithm could improve the Mean Square Error (MSE) performance of LMS algorithm. MATLAB (Matrix Laboratory) is employed to analyze the proposed algorithm and to compare it with the experimental results. The MSE value of the LMS with mu=0.0001 was measured as - 12.5 dB, and that of the proposed algorithm was -19.5 dB which showed an improvement of 7dB.

• Journal of Magnetics
• /
• v.21 no.4
• /
• pp.603-615
• /
• 2016

In this study, in order to determine the validity and accuracy of MR imaging of 3D gradient dual echo 2-point DIXON technique for measuring abdominal adipose tissue volume and distribution, the measurements obtained by CT were set as a reference for comparison and their correlations were evaluated. CT and MRI scans were performed on each subject (17 healthy male volunteers who were fully informed about this study) to measure abdominal adipose tissue volume. Two skilled investigators individually observed the images acquired by CT and MRI in an independent environment, and directly separated the total volume using region-based thresholding segmentation method, and based on this, the total adipose tissue volume, subcutaneous adipose tissue volume and visceral adipose tissue volume were respectively measured. The correlation of the adipose tissue volume measurements with respect to the observer was examined using the Spearman test and the inter-observer agreement was evaluated using the intra-class correlation test. The correlation of the adipose tissue volume measurements by CT and MRI imaging methods was examined by simple regression analysis. In addition, using the Bland-Altman plot, the degree of agreement between the two imaging methods was evaluated. All of the statistical analysis results showed highly statistically significant correlation (p<0.05) respectively from the results of each adipose tissue volume measurements. In conclusion, MR abdominal adipose volumetry using the technique of 3D gradient dual echo 2-point DIXON showed a very high level of concordance even when compared with the adipose tissue measuring method using CT as reference.

• Journal of Environmental Health Sciences
• /
• v.27 no.4
• /
• pp.1-8
• /
• 2001

From August 2000 to August 2001, 9 variables of physicochemical factors and phytase activity were investigated at 4 sites in the River Yungpyung and the influences of Physicochemical factors to Phytase activity were analyzed. Phytase activities of Site 1, Site 2, Site 3, and Site 4 varied between N.D ∼566 nmol/ ι /hr, N.D \" 434 nmol/ ι /hr, N.D ∼557 nmol/ ι /hr, and N.D ∼723 nmol/ ι /hr, respectively. The activities of summer season were higher than those of other season. But the activities were not detected on the winter season. The phytase activity and temperature showed high correlation. The correlation coefficients of Site 1, Site 2, Site 3, and Site 4 were 0.82(p<0.01).0.92(p<0.01),0.87(p<0.01), and 0.88(p<0.01), respectively. The phytase activity and NOI₃/sup -/ ion showed negative relation(r=-0.59, p<0.05) at Site 1. And the phytase activity had relation with Zn/sup 2+/at Site 2(r=().57, p<0.05) and Site 3(r=0.7E, p<7.07).

• Korean Chemical Engineering Research
• /
• v.54 no.6
• /
• pp.734-745
• /
• 2016

This review article described the electrochemical Frumkin, Langmuir, and Temkin adsorption isotherms of over-potentially deposited hydrogen (OPD H) and deuterium (OPD D) for the cathodic $H_2$ and $D_2$ evolution reactions (HER, DER) at Pt, Ir, Pt-Ir alloy, Pd, Au, and Re/normal ($H_2O$) and heavy water ($D_2O$) solution interfaces. The Frumkin, Langmuir, and Temkin adsorption isotherms of intermediates (OPD H, OPD D, etc.) for sequential reactions (HER, DER, etc.) at electrode/solution interfaces are determined using the phase-shift method and correlation constants, which have been suggested and developed by Chun et al. The basic procedure of the phase-shift method, the Frumkin, Langmuir, and Temkin adsorption isotherms of OPD H and OPD D and related electrode kinetic and thermodynamic parameters, i.e., the fractional surface coverage ($0{\leq}{\theta}{\leq}1$) vs. potential (E) behavior (${\theta}$ vs. E), equilibrium constant (K), interaction parameter (g), standard Gibbs energy (${\Delta}G_{\theta}{^{\circ}}$) of adsorption, and rate (r) of change of ${\Delta}G_{\theta}{^{\circ}}$ with ${\theta}$ ($0{\leq}{\theta}{\leq}1$), at the interfaces are briefly interpreted and summarized. The phase-shift method and correlation constants are useful and effective techniques to determine the Frumkin, Langmuir, and Temkin adsorption isotherms and related electrode kinetic and thermodynamic parameters (${\theta}$ vs. E, K, g, ${\Delta}G_{\theta}{^{\circ}}$, r) at electrode/solution interfaces.