• Journal of applied mathematics & informatics
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• 제39권1_2호
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• pp.83-91
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• 2021

In this paper, we introduce the concepts of q-cosine tangent polynomials and q-sine tangent polynomials. From these polynomials, we find some identities and properties by using q-numbers and q-trigonometric functions.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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• pp.173-176
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• 1996

The transient behavior of the complex-LMS adaptive filter is studied when the adaptive filter is operating on a fixed or sweeping complex frequency sine-wave signal. The first-order difference equation is derived for the mean weights and its closed form solution is obtained. The transient response is represented as a function of the eigenvectors and eigenvalues of input correlation matrix. The mean-square error of the algorithm is evaluated as well. An optimal convergence parameter and filter length can be determined for sweeping frequency sine-wave signals as a function of frequency change rate and signal and noise powers.

• Korean Journal of Mathematics
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• 제29권1호
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• pp.137-167
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• 2021

Spherical fuzzy set (SFS) is also one of the fundamental concepts for address more uncertainties in decision problems than the existing structures of fuzzy sets, and thus its implementation was more substantial. The well-known sine trigonometric function maintains the periodicity and symmetry of the origin in nature and thus satisfies the expectations of the experts over the multi parameters. Taking this feature and the significance of the SFSs into the consideration, the main objective of the article is to describe some reliable sine trigonometric laws (ST L) for SFSs. Associated with these laws, we develop new average and geometric aggregation operators to aggregate the Spherical fuzzy numbers (SFNs). Then, we presented a group decision- making (DM) strategy to address the multi-attribute group decision making (MAGDM) problem using the developed aggregation operators. In order to verify the value of the defined operators, a MAGDM strategy is provided along with an application for the selection of laptop. Moreover, a comparative study is also performed to present the effectiveness of the developed approach.

• 한국수학교육학회지시리즈A:수학교육
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• 제48권4호
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• pp.387-398
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• 2009

In this paper, we investigated the influence of technology, which gave an impact on students through the process of teaching & learning for the proof of an additive law of sine function in the mathematics education for the gifted. We chose students who were taking a course in enrichment mathematics at Science Education Institute for the Gifted in Mokpo National University, and analyzed their processes of a mathematical inference or conjecture, an algebraic description and a proof by visualization using technology. We found the following facts. That is, the visualization using technology is helpful to the gifted students in understanding principles and concepts of mathematics by intuition. Also, it is helpful to ones verifying various cases and generalizing principles. But, using technology can be a factor that disturbs learning of students who are clumsy with operating technology.

• 농업생명과학연구
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• 제46권6호
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• pp.197-205
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• 2012

이 논문은 한육우 사육두수 주기를 분석하고 이 주기를 기초로 한육우 사육두수를 예측하였다. 이를 위해 일정한 주기를 가지고 정점과 저점을 반복하는 싸인함수를 활용하였다. 과거 한육우 사육두수의 주기는 짧게는 5년부터 길게는 12년까지의 패턴을 보여주었고, 이러한 주기는 시간이 흐름에 따라 점차 길어지는 양상을 보여주고 있다. 싸인함수를 활용하여 한육우 사육두수를 추정한 결과, 모형의 적합도가 0.95로 매우 높게 나타났다. 이 모형을 이용하여 한육우 사육두수를 예측한 결과, 사육주기에 따라 약간의 차이가 나지만 저점의 사육두수는 160~180만두 정도이고 정점의 사육두수는 320만두~370만두 수준으로 예측되었다. 이러한 예측결과는 사육두수 불안정성에 따른 농가 소득 불안정성을 내포하고 있어 그에 따르는 적절한 정책이 필요함을 시사한다.

• Journal of Information Processing Systems
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• 제19권1호
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• pp.17-32
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• 2023

Centralized hierarchical routing protocols are often used to solve the problems of uneven energy consumption and short network life in wireless sensor networks (WSNs). Clustering and cluster head election have become the focuses of WSNs. In this paper, an energy balanced clustering routing algorithm optimized by sine cosine algorithm (SCA) is proposed. Firstly, optimal cluster head number per round is determined according to surviving node, and the candidate cluster head set is formed by selecting high-energy node. Secondly, a random population with a certain scale is constructed to represent a group of cluster head selection scheme, and fitness function is designed according to inter-cluster distance. Thirdly, the SCA algorithm is improved by using monotone decreasing convex function, and then a certain number of iterations are carried out to select a group of individuals with the minimum fitness function value. From simulation experiments, the process from the first death node to 80% only needs about 30 rounds. This improved algorithm balances the energy consumption among nodes and avoids premature death of some nodes. And it greatly improves the energy utilization and extends the effective life of the whole network.

• 한국통신학회논문지
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• 제34권1C호
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• pp.131-137
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• 2009

Bin offset carrier (BOC) 신호 동기화 과정은 GPS, Galileo와 같은 위성항법시스템에서 가장 중요한 단계이다. BOC 신호 동기화 과정은 일반적으로, 수신 BOC 신호와 단말기의 BOC 신호 사이의 상관함수를 이용하여 이루서진다. 따라서 BOC 자기상관함수의 다중 첨두 문제는 동기화 오차의 주요한 원인이 된다. 최근 Julien에 의해 BOC 상관함수 상의 주변 첨두 크기를 줄일 수 있는 기법이 제안되었다. 그러나 이 기법은 주변 첨두를 완벽히 제거하지 못하며, 적용할 수 있는 신호도 제한적이다. 본 논문에서는 주변 첨두가 완벽히 제거된 새로운 상관함수를 제안하였다. 제안한 상관함수는 sine 위상 및 cosine 위상의 BOC 신호 모두에 적용할 수 있으며, 주변 첨두를 완벽히 제거할 수 있다. 또한 제안한 상관함수를 효율적으로 구현할 수 있는 상관기 구조도 제안하였다.

• 한국소음진동공학회논문집
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• 제19권12호
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• pp.1260-1268
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• 2009

Three methods(the stepped sine method, the statistical method(random excitation method) and the maximum-length sequence(MLS) method) for head-related transfer functions(HRTFs) are experimentally compared in view point of accuracy and efficiency. First, the stepped sine method has high signal-to-noise ratio, but low efficiency. Second, the statistical method is fast measurement speed, but weak to noise than the other methods. Finally, the MLS method shows both good efficiency and high signal-to-noise ratio, but it needs additional software or equipment such as MLS signal generator. For comparison of measurement accuracy, HRTFs of KEMAR dummy are measured for various azimuths and elevations. Error norms for magnitude and phase of HRTFs are defined and calculated for the measured HRTFs. The calculated error norms show that the methods give similar results in magnitude and phase except a little phase difference in the MLS method.

• 정보처리학회논문지B
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• 제11B권3호
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• pp.303-308
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• 2004

Gabor 코사인과 사인 변환은 영상주파수 성분을 국부적으로 표현하므로 영상과 비디오 압축 알고리즘에 사용될 수 있다. 압축과 복원에 사용되는 순방향과 역방향 행렬 변환식의 계산 복잡도는 O($N^3$)이다. 이 논문에서는 기저함수들의 길이를 절단하여, 희소기저행렬을 생성하고, 영상압축과 복원에 적용하여 실시간 처리에 용이하게 변환 계산량을 감소시키고자 한다. 기저함수 길이가 감소함에 따라서, 기저함수 에너지에 미치는 절단의 영향을 조사하고 다른 여러 측정량의 변화를 살펴본다. 실험 결과로부터 약 1% 이하의 성능저하로 11배의 곱하기/더하기 수를 감소시킬 수 있음을 보았다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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• pp.45-50
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• 1998

The coupled vibration occurs between traveling vehicle and bridge, when vehicle runs on it. The natural frequency of this coupled system is dependent on the contact position of vehicle and bridge, that is, time-varying system. The calculations of these natural frequencies are very complicated, and often carried out by using Green function theory, series. But, these methods have any limitations, such as, supporting condition, boundary condition. In this paper, on the coupled system constructed by the concentrated mass and elastically supported beam, an analytical method of natural frequency is proposed by using Fourier sine transformation. The results are compared and discussed with numerically calculated ones.