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A COOLEY-TUKEY MODIFIED ALGORITHM IN FAST FOURIER TRANSFORM

  • Kim, HwaJoon;Lekcharoen, Somchai
    • Korean Journal of Mathematics
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    • v.19 no.3
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    • pp.243-253
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    • 2011
  • We would like to propose a Cooley-Tukey modied algorithm in fast Fourier transform(FFT). Of course, this is a kind of Cooley-Tukey twiddle factor algorithm and we focused on the choice of integers. The proposed algorithm is better than existing ones in speeding up the calculation of the FFT.

Statistically Proper Multiple Range Tests for a Within Subject Factor in a Repeated Measures Design

  • Park, Cheol-Yong;Park, Sang-Bum
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.2
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    • pp.525-534
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    • 2007
  • It is a common practice in many research areas that multiple range tests for a between subject factor such as Tukey are applied to a within subject factor in a repeated measures design. Tukey procedure, however, sometimes detects no pairs with different means even when the hypothesis of all equal level means is rejected. This study attempts to provide a rationale for the proposition that Tukey is inappropriate post hoc procedure for a within subject factor in which the observations are correlated. We introduce two multiple range tests, Bonferroni and Scheffe, for a within subject factor and show that Bonferroni is more appropriate than Scheffe for pairwise multiple comparisons. Subsequent simulation study indicates that Tukey has significantly less power than Bonferroni in detecting actual difference between means of some pairs when the observations of a within subject factor are highly correlated.

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Cutting Characteristics Depending on Coolant Level in Turning Process (절삭유 레벨에 따른 선삭가공 절삭특성)

  • 양승한;이영문
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.1
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    • pp.80-86
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    • 2004
  • With the increasing demand of environmentally clean machining in recent years, the use of coolants has been restricted extensively. In this paper, a multiple comparison method(Tukey's HSD method) is proposed to choose the optimum level of coolant necessary for an efficient and environmentally clean machining. The cutting temperature, specific cutting energy, and surface roughness in turning process are analysed by ANOVA(Analysis Of Variance) and Tukey's HSD method. From the experimental results and statistical analysis, it is found that the optimum condition of coolant level is 10 ml/min with 6% mix ratio, which is almost half of the commonly used level.

The Design of Wiener filter using 50% Tukey Window function and the enhancement of surface defect images (50% Tukey 창함수를 이용한 위너필터의 설계와 표면결함 영상 개선)

  • Kim, Hyun;Hwang, Ki-hwan;Yeon, Kyu-heon;Jun, Kye-suk
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1998.06c
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    • pp.439-443
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    • 1998
  • 본 연구에서는 50% Tukey 창함수를 이용하여 위너필터를 설계하고 표면결함의 영상을 개선하였다. 이 위너필터는 높은 공간주파수 성분에 대해 낮은 잡음이득을 주며 안정된 필터 동작 특성을 보였다. 실험을 위하여 쿼드러춰 방식의 초음파현미경을 구성하고 시편으로 10원주화를 사용하였다. 실험결과 개선된 영상은 블러링 효과가 제거되어 우수한 영상 화질을 나타내었다.

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Exact simulataneous confidence interval for the case of four means using TK procedure (Tukey-Kramer방법을 이용한 4개 평균에 관한 정확한 동시 신뢰구간의 통계적 계산 방법)

  • 김병천;김화선;조신섭
    • The Korean Journal of Applied Statistics
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    • v.2 no.1
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    • pp.18-34
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    • 1989
  • The problem of simultaneously estimating the pairwise differences of means of four independent normal populations with equal variances is considered. A statistical computing procedure involving a trivariate t density constructs the exact confidence intervals with simultaneous co verage probability equal to $1-\alpha$. For equal sample sizes, the new procedure is the same as the Tukey studentized range procedure. With unequal sample sizes, in the sense of efficiency for confidence interval lengths and experimentwise error rates, the procedure is superior to the various generalized Tukey procedures.

Analysis of binary data by empirical logit transformation and the type of Freeman-Tukey inverse sine transformation (경험로지트변환과 Freeman-Tukey형 역정현 변환에 의한 계수치 자료의 해석)

  • 김홍준;채규용;이상용
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.42
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    • pp.1-8
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    • 1997
  • In case of analysis of discrete data, it shows by way of example orthogonal array experiment for o, 1 data. This paper introduced expirical logit transformation and the type of Freeman-Tukey inverse sine transformation. As the result of analysis of variance, empirical logit transformation turned out a mistake in application but it is possible for graphical analysis by normal probability paper.

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A Study on the Posterior Density under the Bayes-empirical Bayes Models

  • Sohn, Joong-K.Sohn;Kim, Heon-Joo-Kim
    • Communications for Statistical Applications and Methods
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    • v.3 no.3
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    • pp.215-223
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    • 1996
  • By using Tukey's generalized lambda distribution, appoximate posterior density is derived under the Bayes-empirical Bayes model. The sensitivity of posterior distribution to the hyperprior distribution is examined by using Tukey's generalized lambda distriburion which approximate many well-knmown distributions. Based upon Monte Varlo simulation studies it can be said that posterior distribution is sensitive to the cariance of the prior distribution and to the symmetry of the hyperprior distribution. Also posterior distribution is approximately obtained by using the following methods : Lindley method, Laplace method and Gibbs sampler method.

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Acceleration of FFT on a SIMD Processor (SIMD 구조를 갖는 프로세서에서 FFT 연산 가속화)

  • Lee, Juyeong;Hong, Yong-Guen;Lee, Hyunseok
    • Journal of the Institute of Electronics and Information Engineers
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    • v.52 no.2
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    • pp.97-105
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    • 2015
  • This paper discusses the implementation of Bruun's FFT on a SIMD processor. FFT is an algorithm used in digital signal processing area and its effective processing is important in the enhancement of signal processing performance. Bruun's FFT algorithm is one of fast Fourier transform algorithms based on recursive factorization. Compared to popular Cooley-Tukey algorithm, it is advantageous in computations because most of its operations are based on real number multiplications instead of complex ones. However it shows more complicated data alignment patterns and requires a larger memory for storing coefficient data in its implementation on a SIMD processor. According to our experiment result, in the processing of the FFT with 1024 complex input data on a SIMD processor, The Bruun's algorithm shows approximately 1.2 times higher throughput but uses approximately 4 times more memory (20 Kbyte) than the Cooley-Tukey algorithm. Therefore, in the case with loose constraints on silicon area, the Bruun's algorithm is proper for the processing of FFT on a SIMD processor.

Analysis of Cutting Properties with Reference to Amount of Coolant used in an Environment-Conscious Turning Process

  • Yang, Seung-Han;Lee, Young-Moon;Kim, Young-Suk
    • Journal of Mechanical Science and Technology
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    • v.18 no.12
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    • pp.2182-2189
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    • 2004
  • In the recent years, environmentally conscious design and manufacturing technologies have attracted considerable attention. The coolants, lubricants, solvents, metallic chips and discarded tools from manufacturing operations will harm our environment and the earth's ecosystem. In the present work, the Tukey method of multiple comparisons is used to select the minimum level of coolant required in a turning process. The amount of coolant is varied in 270 designed experiments and the parameters cutting temperature, surface roughness, and specific cutting energy are carefully evaluated. The effects of coolant mix ratio as well as the amount of coolant on the turning process are studied in the present work. The cutting temperature and surface roughness for different quantity of coolant are investigated by analysis of variance (ANOVA) - test and a multiple comparison method. ANOVA-test results signify that the average tool temperature and surface roughness depend on the amount of coolant. Based on Tukey's Honestly Significant Difference (HSD) method, one of the multiple comparison methods, the minimum level of coolant is 1.0 L/min with 2% mix ratio in the aspect of controlling tool temperature. F-test concludes that the amount of coolant used does not have any significant effect on specific cutting energy. Finally, Tukey method ascertains that 0.5 L/min with 6% mix ratio is the minimum level of coolant required in turning process without any serious degradation of the surface finish. Considering all aspects of cutting, the minimum coolant required is 1.0 L/min with 6% mix ratio. It is merely half the coolant currently used i.e. 2.0 L/min with 10% mix ratio. Minimal use of coolant not only economically desirable for reducing manufacturing cost but also it imparts fewer hazards to human health. Also, sparing use of coolant will eventually transform the turning process into a more environment-conscious manufacturing process.

Evaluating the Performance Quality of Open Source Database Management Systems (오픈소스 DBMS의 성능 품질 평가)

  • Min, Meekyung
    • Journal of Korean Society for Quality Management
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    • v.45 no.4
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    • pp.933-942
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    • 2017
  • Purpose: The purpose of this paper is to evaluate the performance quality of the open source DBMSs. Performance quality is defined as processing time for Join queries. Query processing time is measured and compared in the most widely used open source DBMSs and commercial DBMS. Methods: By varying the number of tuples of two relations to be joined, the average processing time(seconds) of a Join query in each DBMS was obtained experimentally. ANOVA and Tukey HSD test were used in order to compare the performance quality of DBMSs. Results: There was a significant difference between the performance qualities of the three DBMSs at all experimental levels where the number of tuples was 100, 1,000, 2,000, 10,000, and 50,000. As a result of the Tukey HSD test, two open source DBMSs (MariaDB, MySQL) were classified in the same group only at the tuple level of 100. The commercial DBMS (MS-SQL Server) belonged to another group. At level of more than 1,000 tuples, all three DBMSs belonged to different groups. Conclusion: Within the open source DBMS group, MariaDB showed the better performance quality except for a small number of tuples. Thus the results show that MariaDB can be the alternative to MySQL which is currently most widely used. Between open source DBMS and commercial DBMS groups, MS-SQL Server always shows the best performance quality, but the less number of tuples, the less the difference.