• Title/Summary/Keyword: B-method

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Modular Exponentiation by m-Numeral System (m-진법 모듈러 지수연산)

  • Lee, Sang-Un
    • The KIPS Transactions:PartC
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    • v.18C no.1
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    • pp.1-6
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    • 2011
  • The performance and practicality of cryptosystem for encryption, decryption, and primality test is primarily determined by the implementation efficiency of the modular exponentiation of $a^b$(mod n). To compute $a^b$(mod n), the standard binary squaring still seems to be the best choice. But, the d-ary, (d=2,3,4,5,6) method is more efficient in large b bits. This paper suggests m-numeral system modular exponentiation. This method can be apply to$b{\equiv}0$(mod m), $2{\leq}m{\leq}16$. And, also suggests the another method that is exit the algorithm in the case of the result is 1 or a.

APPROXIMATION OF QUADRIC SURFACES USING SPLINES

  • Ahn, Young-Joon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.13 no.3
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    • pp.217-224
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    • 2009
  • In this paper we present an approximation method of quadric surface using quartic spline. Our method is based on the approximation of quadratic rational B$\acute{e}$zier patch using quartic B$\acute{e}$zier patch. We show that our approximation method yields $G^1$ (tangent plane) continuous quartic spline surface. We illustrate our results by the approximation of helicoid-like surface.

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Determination of Aflatoxins Using High-Performance Liquid Chromatography with Optimized Fluorescence Detection (HPLC에 의한 aflatoxin 분석법에 관한 연구-형광검출의 최적조건)

  • 김종규
    • Journal of Food Hygiene and Safety
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    • v.13 no.1
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    • pp.41-46
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    • 1998
  • A postcolumn derivatization method was tried for the simultaneous determination of four major aflatoxins ($B_1,\;B_2,\;G_1,\;and\;G_2$) by high-performance liquid chromatography with fluorescence detection. As compared with a previous precolumn derivatization method, it was found that the postcolumn derivatization combined with an electrochemical cell (Kobra cell) was less time-consuming, safer, improved the sensitivity and selectivity, and provided good recoveries for aflatoxin $B_1$ (88.9%) and $G_1$ (100.5%). This method showed linearity from 10~100 ppb for aflatoxin $B_1\;and\;G_1$, and from 3~30 ppb for aflatoxin $B_2\;and\;G_2$. However, aflatoxin Bz and Gz were not detected satisfactorily although they showed good resolution.

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Shape offsetting using the geometric properties of B-spline curves(2) - A Study on the removal of loops in control polygon offsetting - (B-스플라인 곡선의 기하특성을 이용한 형상 옵셋 (2) -제어다각형 옵셋에서 발생하는 루프의 제거에 대한 연구-)

  • 정재현;김희중;조우승
    • Journal of Advanced Marine Engineering and Technology
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    • v.21 no.4
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    • pp.381-386
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    • 1997
  • The offsetting method using geometric properties of B-spline control polygon is more faster than using of general normal vector in offset processing. But this method itself does not solve the prob¬lems of loop removal in normal offsetting. Generally the distance between neighborhood spans of B-spline control polygon is greater than the offset distance, the loops are occurred in offsetting. For generating of the more precision tool-path in NC machining, the loops of offset must be removed. In this paper, two methods for loop removal are introduced in offsetting of B-spline curve. One is using the intersection of B-spline control span which being occurred of the loop. The other is using two B-spline curve divisions divided from original B-spline curve or its offset curve. After the inter¬section point of loop was searched, the loop being removed to cusp. Also the method for filleting of cusp is inspected to more precision cutting. It is shown that the offsetting using B-spline control polygon is more effective in the sculptured surface machining.

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An Efficient Information Fusion Method for Air Surveillance Systems (항공감시시스템을 위한 효율적인 정보융합 기법)

  • Cho, Taehwan;Oh, Semyoung;Lee, Gil-Young
    • Journal of Advanced Navigation Technology
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    • v.20 no.3
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    • pp.203-209
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    • 2016
  • Among the various fields in the communications, navigation, and surveillance/air traffic management (CNS/ATM) scheme, the surveillance field, which includes an automatic dependent surveillance - broadcast (ADS-B) system and a multilateration (MLAT) system, is implemented using satellite and digital communications technology. These systems provide better performance than radar, but still incur position error. To reduce the error, we propose an efficient information fusion method called the reweighted convex combination method for ADS-B and MLAT systems. The reweighted convex combination method improves aircraft tracking performance compared to the original convex combination method by readjusting the weights given to these systems. In this paper, we prove that the reweighted convex combination method always provides better performance than the original convex combination method. Performance from the fusion of ADS-B and MLAT improves an average of 51.51% when compared to the original data.

Method of Fast Interpolation of B-Spline Volumes for Reconstructing the Heterogeneous Model of Bones from CT Images (CT 영상에서 뼈의 불균질 모델 생성을 위한 B-스플라인 볼륨의 빠른 보간 방법)

  • Park, Jun Hong;Kim, Byung Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.4
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    • pp.373-379
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    • 2016
  • It is known that it is expedient to represent the distribution of the properties of a bone with complex heterogeneity as B-spline volume functions. For B-spline-based representation, the pixel values of CT images are interpolated by B-spline volume functions. However, the CT images of a bone are three-dimensional and very large, and hence a large amount of memory and long computation time for the interpolation are required. In this study, a method for resolving these problems is proposed. In the proposed method, the B-spline volume interpolation problem is simplified by using the uniformity of pixel spacing of the image and the properties of B-spline basis functions. This results in a reduction in computation time and the amount of memory used. The proposed method was implemented and it was verified that the computation time and the amount of memory used were reduced.

Improvement of Power Efficiency of HPA by the PAPR Reduction and Predistorter in MIMO-OFDM (MIMO-OFDM에서 PAPR 저감 및 사전 왜곡기에 의한 HPA의 전력 효율 개선)

  • Trang Ngo Thi Thu;Kim Nam;Han Tae-Young
    • The Journal of the Korea Contents Association
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    • v.5 no.1
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    • pp.201-208
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    • 2005
  • Tn this paper, we evaluate the peak-to-average power ratio (PAPR) performance in a space-time block code (STBC) multi-input multi-output orthogonal frequency division multiplexing (MIMO-OFDM) system using selected mapping (SLM) and partial transmit sequences (PTS) approaches. SLM and PTS methods are used to decrease the nonlinear distortion and to improve the power efficiency of the nonlinear high power amplifier(HPA) in the MIMO-OFDM system. In simulation result, when compared with the existing MIMO-OFDM system using QPSK, the PTS method reduces the PAPR about 5dB while the SLM method can reduce about 3.5 dB. Also, we find the BER performance of the MIMO-OFDM system with and without the predistorter in front of the HPA. When the predistorter is used, the input back-off (IBO) of 4 dB is required in the PTS method, and IBO of 6 dB in the SLM method to closely conform to the linear amplifier. If the method of improving the PAPR is not used, the value of IBO of 8 dB is required.

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Multi-carriers PAPR Reduction Method using Adaptive Sub-optimal PTS with Threshold (다중반송파 PAPR 감소를 위한 임계치 적용 적응 부최적 PTS 기법 연구)

  • 권오주;하영호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.12A
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    • pp.2012-2018
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    • 2001
  • This paper proposes the adaptive suboptimal iterative algorithm using threshold to reduce system complexity in the PTS\`s. Performance of the proposed adaptive suboptimal iteration algorithm is represented in terms of iteration number and CDF. In the case of the number of sub-block is 4, the 10-3 PAPR of the proposed method and P S improved this by 0.4dB compared to Cimini\`s. And the complexity of the proposed method was reduced to nearly 22% for the PTS\`s and 44% for the Cimini\`s for 8dB threshold. For the 8 sub-blocks, the 10$\^$-3/ PAPR of the proposed method reduced by 0.7dB compared to PTS\`s, but improved by 0.4dB compared to Cimini\`s. And the complexity of the proposed method was reduced to nearly 2.4% for the PTS\`s and 39% for the Cimini\`s.

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A Method for Improving Anchor Picture Quality of Multiview Video Coding Scheme (다시점 비디오 부호화의 기준 영상 화질 향상 방법)

  • Park, Min-Woo;Park, Jong-Tae;Park, Gwang-Hoon
    • Journal of Broadcast Engineering
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    • v.13 no.3
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    • pp.388-400
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    • 2008
  • This paper introduces a cost-effective method fur improving anchor picture quality of a multiview video coding scheme that is mainly based on chroma compensation. Proposed method is applied to both INTER $16{\times}16$ and SKIP modes in only anchor P-pictures. By testing using JVT common test conditions, simulation results show that proposed method can obtain the average BD-PSNR gains fur U and V as 0.136 dB and 0.127 dB, respectively, while maintaining almost same performance for Y (luminance). For the range of low bit-rates, it is observed that average BD-PSNR gains of Y, U, and V are 0.141 dB, 0.494 dB and 0.525 dB, respectively. Necessary computational complexity is very marginal because the number of anchor P-pictures is only 4.18% in comparison with whole coded sequences, however it can be found that the proposed method can significantly improve the coding efficiencies of color components.

CIR Performance Enhancement by Frequency Offset Estimation in OFDM System (OFDM 시스템에서 주파수 오프셋 보정에 의한 CIR 성능 향상)

  • Ko, Seong-Hui;Choi, Jung-Hun;Lee, Dong-Ho;Kim, Nam
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.4C
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    • pp.446-452
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    • 2009
  • OFDM system has a disadvantage of sensitiveness about the effect of frequency offset caused by the discord of oscillators in the transmitter and receiver. Either, the frequency offsets in mobile radio channels distort the orthogonality between sub-carriers resulting in the inter-carrier interference(ICI). In this paper, we analyze the effect of the ICI and propose a new method using SC technique. To analyze BER(Bit Error Rate) and CIR(Carrier to Interference Ratio) performance of the proposed method. the simulation program MATLAB is used. By the simulation results, SNR performance is improved by this method. In case the frequency offset is 0.3 and 0.5, SNR gains are over 0.5dB and 1dB in the BPSK modulation and 1dB and 2dB in the QPSK modulation at BER of $10^{-3}$ respectively. In addition, CIR performance is improved over 15dB. As a result, the proposed method is more effective to improve the system performance than the conventional method.