• Journal of applied mathematics & informatics
• /
• 제17권1_2_3호
• /
• pp.787-796
• /
• 2005

We generalize a characterization of classical orthogonal polynomials and obtain a two-variable analogue. Also an example is given arising from a second order partial differential equation.

• 품질경영학회지
• /
• 제32권4호
• /
• pp.220-228
• /
• 2004

The orthogonality is an important property in the experimental designs. When we use nearly orthogonal arrays, we need evaluate the degree of the orthogonality of given experimental designs. Graphical methods for evaluating the degree of the orthogonality of nearly orthogonal arrays are suggested.

• Korean Journal of Mathematics
• /
• 제7권1호
• /
• pp.61-69
• /
• 1999

We determine sparse orthogonal matrices of order $n$ which is fully indecomposable by weaving.

• Korean Journal of Mathematics
• /
• 제7권2호
• /
• pp.281-283
• /
• 1999

The structure of orthogonal groups of quaternion algebras is studied.

• 충청수학회지
• /
• 제20권1호
• /
• pp.47-49
• /
• 2007

We compute the special orthogonal group of certain lattice of signature (2, 1).

• 조명전기설비학회논문지
• /
• 제21권4호
• /
• pp.80-87
• /
• 2007

This paper will suggest that the 1 cross orthogonal loop type sensor improves on the orthogonal loop form sensor-head, which is available a calibration of the linear birefringence, when a fiber optic current sensor was composed. An output characteristics of the 1 cross orthogonal loop form, a general closed loop form, the orthogonal loop form are compared by the IEC(International Electrotechnical Commission) 60044-8 standard, and the state of polarization is compared with three forms. As a result, when the closed loop form was changed to the orthogonal loop form, retardation decreased 15.3[%]. When the closed loop form was changed to the 1 cross orthogonal loop type, the retardation decreased 33.8[%]. As a result of the Faraday Effect measurement, the 1 cross orthogonal loop form has the highest output characteristic and the lowest error ratio. It met the 0.5 class of the IEC 60044-8 standard. Thus, in application of the 1cross orthogonal loop form, the possibility to develop high reliability fiber optic current sensors that have a high output and stable error ratio rises is increased.

• 한국ITS학회 논문지
• /
• 제9권1호
• /
• pp.34-41
• /
• 2010

본 논문에서는 복조후 전송 (DF: Decode-and-Forward) 중계기를 사용하는 협력통신 (Cooperative Communication) 시스템에서 동일 채널로 전송된 다른 신호에 의해 단말기에 발생할 수 있는 간섭 완화 방법에 대해 분석하고 실험하였다. 간섭완화 방법은 동일 채널로 전송할 신호를 직교 부호를 이용하여 부호화한 후 전송하면, 수신기는 미리 알고 있는 직교 부호를 이용하여 자신이 원하는 신호만 수신하는 것이다. 본 논문에서 이용한 직교 부호는 직교 골드 부호 (Orthogonal Gold Code) 를 이용하였다. 하지만 직교 골드 부호 이외에 직교 성질을 가지는 다른 부호를 직교 부호로 사용할 수 있다. 또한 추가적인 배열 이득으로 인해 시스템 성능을 향상시키기 위해 시공간 블록 부호화 (STBC : Space Time Block Coding) 개념을 적용하였다.

• 한국산학기술학회논문지
• /
• 제10권7호
• /
• pp.1601-1607
• /
• 2009

일반적으로 무선 통신에 널리 사용되는 직교 변조 (Orthogonal Modulation) 방식은 대역폭 효율 (Bandwidth Efficiency)이 지나치게 떨어져 대용량의 데이터를 전송하기에는 부적절하다. 따라서 본 논문에서는 기존의 직교 변조방식의 대역폭 효율을 증가시키기 위해 다중 부호 전송 개념을 트랜스 직교 변조 방식에 적용하여 대용량 데이터를 전송하는 다중 부호 트랜스 (이진) 직교 변조 (Multi-Code Trans-(Bi-)Orthogonal Modulation) 방식을 제안한다. 제안된 다중 부호 트랜스 (이진) 직교 변조는 직교 변조에 비해 대역폭 효율 측면에서 2배 이상의 개선을 얻을 수 있고 수신기의 복잡도 측면에 있어서도 2배 이상의 개선을 얻을 수 있다. 제안된 다중 부호 트랜스 (이진) 직교 변/복조 방식은 고속 데이터 율을 제공해야 하는 디지털 무선 통신 시스템 (멀티미디어 통신 시스템, 고속 무선 개인 영역 네트워크)의 물리층으로 사용될 수 있다.

• Journal of applied mathematics & informatics
• /
• 제17권1_2_3호
• /
• pp.343-350
• /
• 2005

In this paper we prove two results about tilings of orthogonal polygons. (1) P be an orthogonal polygon with rational vertex coordinates and let R(u) be a rectangle with side lengths u and 1. An orthogonal polygon P can be tiled with similar copies of R(u) if and only if u i algebraic and the real part of each of its conjugates is positive; (2) Laczkovich proved that if a triangle $\Delta$ tiles a rectangle then either $\Delta$ is a right triangle or the angles of $\Delta$ are rational multiples of $\pi$. We generalize the result of Laczkovich to orthogonal polygons.

• Journal of Communications and Networks
• /
• 제5권4호
• /
• pp.328-343
• /
• 2003

Orthogonal pulse-shape modulation using Hermite pulses for ultra-wideband communications is reviewed. Closedform expressions of cross-correlations among Hermite pulses and their corresponding transmit and receive waveforms are provided. These show that the pulses lose orthogonality at the receiver in the presence of differentiating antennas. Using these expressions, an algebraic model is established based on the projections of distorted receive waveforms onto the orthonormal basis given by the set of normalized orthogonal Hermite pulses. Using this new matrix model, a number of pulse-shape modulation schemes are analyzed and a novel orthogonal design is proposed. In the proposed orthogonal design, transmit waveforms are constructed as combinations of elementary Hermites with weighting coefficients derived by employing the Gram-Schmidt (QR) factorization of the differentiating distortion model’s matrix. The design ensures orthogonality of the vectors at the output of the receiver bank of correlators, without requiring compensation for the distortion introduced by the antennas. In addition, a new set of elementary Hermite Pulses is proposed which further enhances the performance of the new design while enabling a simplified hardware implementation.