• 충청수학회지
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• 제35권2호
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• pp.115-124
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• 2022

In this paper, we introduce the notion of orthogonal reserve derivation on semiprime 𝚪-semirings. Some characterizations of semiprime 𝚪-semirimgs are obtained by means of orthogonal reverse derivations. We also investigate conditions for two reverse derivations on semiprime 𝚪-semiring to be orthogonal.

• Korean Journal of Mathematics
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• 제30권2호
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• pp.341-349
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• 2022

In this paper, we introduce the notion of orthogonal reserve derivation on semiprime semirings. Some characterizations of semiprime semirimgs are obtained by means of orthogonal reverse derivations. We also investigate conditions for two reverse derivations on semiring to be orthogonal.

• 한국산학기술학회논문지
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• 제12권1호
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• pp.493-499
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• 2011

기존의 직교변조 (Orthogonal Modulation)는 그 효용성에 비해 대역폭 효율이 지나치게 떨어져 이를 개선하기 위한 다중부호 트랜스직교변조 (MCTO: Multi-Code Trans-Orthogonal Modulation)가 제안되었다. 그러나 MCTO 변조는 송신신호의 진폭이 일정하게 유지되지 않아 RF (Radio Frequency) 단에 포함되어 있는 전력 증폭기 (Power Amplifier)의 부담이 커지게 되는 문제점이 있다. 따라서 본 논문에서는 다중부호 신호를 정진폭으로 부호화하는 방식을 이용한 정진폭 다중부호 트랜스직교변조 (CAMCTO: Constant-Amplitude Multi-Code Trans-Orthogonal Modulation)를 제안한다. 또한 제안된 CAMCTO 변조의 성능을 실험을 통해 제시하고 기존의 직교변조 및 MCTO 변조와 비교한다. 실험 결과에 의하면 제안된 CAMCTO 변조는 기존의 직교변조에 비해 대역폭 효율은 매우 증가하며 MCTO 변조에 비해 RF의 부담을 매우 경감시킬 수 있음을 알 수 있다.

• Journal of Mechanical Science and Technology
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• 제20권11호
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• pp.1790-1800
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• 2006

Dynamic behavior of flexural-torsional coupled vibration of rotating beams using the Rayleigh-Ritz method with orthogonal polynomials as basis functions is studied. Performance of various orthogonal polynomials is compared to each other in terms of their efficiency and accuracy in determining the required natural frequencies. Orthogonal polynomials and functions studied in the present work are: Legendre, Chebyshev, integrated Legendre, modified Duncan polynomials, the special trigonometric functions used in conjunction with Hermite cubics, and beam characteristic orthogonal polynomials. A total of 5 cases of beam boundary conditions and rotation are studied for their natural frequencies. The obtained natural frequencies and mode shapes are compared to those available in various references and the results for coupled flexural-torsional vibrations are especially compared to both previously available references and with those obtained using NASTRAN finite element package. Among all the examined orthogonal functions, Legendre orthogonal polynomials are the most efficient in overall CPU time, mainly because of ease in performing the integration required for determining the stiffness and mass matrices.

• Journal of the Optical Society of Korea
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• 제18권2호
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• pp.129-133
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• 2014

In this paper, we propose a simple Double random phase encryption (DRPE)-based orthogonal encoding technique for color image encryption. In the proposed orthogonal encoding technique, a color image is decomposed into red, green, and blue components before encryption, and the three components are independently encrypted with DRPE using the same key in order to decrease the complexity of encryption and decryption. Then, the encrypted data are encoded with a Hadamard matrix that has the orthogonal property. The purpose of the proposed orthogonal encoding technique is to improve the security of DRPE using the same key at the cost of a little complexity. The proposed orthogonal encoder consists of simple linear operations, so that it is easy to implement. We also provide the simulation results in order to show the effects of the proposed orthogonal encoding technique.

• 응용통계연구
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• 제18권3호
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• pp.617-625
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• 2005

우리는 직교배열로서 직교계획, 즉 강도(strength)가 2인 직교배열을 주로 이용한다. 그러나, 강도 3인 직교배열은 주효과들과 2인자교호작용이 포함되는 가법모형 하에서 전체최적화(universal optimality)하다는 것이 밝혀져 있다. 그러므로 임의의 배열이 강도 3인 직교배열인가를 평가하는 측도가 필요하다. 이를 확장하면 임의의 배열이 강도 t($\ge$ 2)인 직교배열인가를 평가하는 측도를 제안할 수 있다.

• Journal of the Optical Society of Korea
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• 제18권3호
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• pp.201-206
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• 2014

In this paper we extend double random phase encryption (DRPE) using orthogonal encoding from single-image transmission to multiple-image transmission. The orthogonal encoding for multiple images employs a larger Hadamard matrix than that for a single image, which can improve security. We provide a scheme for DRPE with an orthogonal codec, and a method for orthogonal encoding/decoding for multiple-image transmission. Finally, simulation results verify that the DRPE using orthogonal encoding for multiple images is more secure than both the conventional DRPE and the DRPE using orthogonal encoding for a single image.

• Nonlinear Functional Analysis and Applications
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• 제26권5호
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• pp.903-915
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• 2021

In this paper, we introduce the concepts of an orthogonal generalized F-contraction mapping and prove some fixed point theorems for a self mapping in an orthogonal metric space. The given results are generalization and extension some of the well-known results in the literature. An example to support our result is presented.

• 한국통신학회논문지
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• 제33권4A호
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• pp.426-433
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• 2008

In this paper, we present a method to improve the performance of the four transmit antenna quasi-orthogonal space-time block code (STBC) in the coded system. For the four transmit antenna case, the quasi-orthogonal STBC consists of two symbol groups which are orthogonal to each other, but intra group symbols are not. In uncoded system with the matched filter detection, constellation rotation can improve the performance. However, in coded systems, its gain is absorbed by the coding gain especially for lower rate code. We propose an iterative decoding method to improve the performance of quasi-orthogonal codes in coded systems. With conventional quasi-orthogonal STBC detection, the joint ML detection can be improved by iterative processing between the demapper and the decoder. Simulation results shows that the performance improvement is about 2dB at 1% frame error rate.

• 한국통신학회논문지
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• 제34권9A호
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• pp.679-684
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• 2009

OCHM(orthogonal code hoppging multiplexing) 방식은 시스템의 직교 부호 채널 수보다 훨씬 많은 숫자의 저 활성도 채널을 수용하기 위해 고안되었다. 본 논문에서는 OCHM 시스템에서 발생하는 심볼 충돌에 의한 열화를 줄이기 위해 직교 전확산(pre-spreading)에 기반한 충돌 분산 기법을 제안한다. 제안된 방식은 채널 복호 과정에서 요구 신호대 잡음비를 대폭 개선한다. 또한 본 방식은 OFDM에 기반한 주파수 도약인 OFHM 시스템에도 적용될 수 있다.