• 전자공학회논문지B
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• 제31B권5호
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• pp.88-94
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• 1994

Inverse Chebyshev function can realize the same order of Chebyshev function nuder the same specification. In general, inverse Chebyshev function has the preferable characteristics in terms of the delay characteristics and the time-domain performances compare with Chebyshev function. However, for the even order n, inverse Chebyshev function does not realize in the doubly-terminated ladder network which has preferable sensitivity characteristics because of the finite value at ${\omega}={\infty}$. In this paper, the modified inverse Chebyshev function with $\mid$H($j^{\infty}$$\mid$=0 s proposed to realize the passive doubly-terminated ladder network for the n even or odd. The modified inverse Chebyshev function characteristics ars studied in the frequency and time domain, and then, realize the passive doubly-terminated ladder network.

• 한국인터넷방송통신학회논문지
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• 제17권3호
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• pp.159-166
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• 2017

본 논문은 홀수, 이중 짝수와 단일 짝수 마방진 알고리즘을 제안하였다. 홀수 마방진은 de la $Loub{\grave{e}}re$가 제안한 방법으로 $O(n^2)$회를 수행하는 단점이 있다. 이중 짝수 마방진은 2가지의 교차 알고리즘이 제안되었다. 단일 짝수 마방진은 ${\frac{n}{2}}{\times}{\frac{n}{2}}$의 홀수 마방진에 기반하여 여러 가지 방법이 제안되었지만 Strachey 알고리즘이 적용이 가장 쉽다. 본 논문에서는 홀수 마방진에 대해 3회 수행, 이중 짝수 마방진에 대해서는 4회 수행으로 마방진을 얻는 방법을 제안하였다. 또한, 단일 짝수 마방진에 대해서는 홀수 마방진에 기반을 두지 않고 직접 구하는 알고리즘을 제안하였다.

• 전자공학회논문지B
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• 제32B권12호
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• pp.1572-1580
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• 1995

In this paper, a modified Chebyshev low-pass filter function is proposed. The modified Chebyshev filter function exhibits ripples diminishing toward .omega. = 0 in the passband. So, the modified filter function is realizable in the passive doubly-terminated ladder network for the order n even or odd, thus lending itself amenable to active RC or switched capacitor filters through the simulation techniques. Besides the passive doubly-terminated ladder realizability, lower pole-Q values of the modified function are accountable for improved phase and delay characteristics, as compared to classical function. We have designed the 6th order passive doubly-terminated network using the modified function. And then a continuous-time DDA(Differential Difference Amplifier) filter, which has no matching requirement, is realized by leap-frog simulation technique for fabrication. In the HSPICE simulation results, we confirmed that the designed continuous-time DDA filter characteristics are agreement with the passive filter.

• 전자공학회논문지C
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• 제34C권5호
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• pp.33-42
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• 1997

In this paper, the modified inverse chebyshev low-pass function is analyzed in the frequency domain, time domain, and sensitivity characteristics as compared with the classical inverse chebyshev function. Unlike the classical function, the modified function exhibits progressively diminishing ripples in the stopband. So, the modified function has a great attenuation throughout the stopband except at the vicinity of a stop frequency and can be realizable in the passive doubly-terminated ladder network for the even order. The poles of the modified function move towards real axis by the effect of diminishing ripples. Thus the pole-Q, which is one of the valuable measurements to estimage the function characteristics, is reduced without increasing order. In the frequency and can be realizable in the passive doubly-terminated ladder network to examine the magnitude and pole-Q sensitivities.

• 한국산학기술학회논문지
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• 제21권1호
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• pp.753-759
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• 2020

본 논문에서는 통과대역에서 점진적으로 감소하는 리플을 갖는 변형된 체비세프 저역통과 필터 함수를 제안하고, 주파수 영역에서 특성을 분석하였다. 제안된 체비세프 함수는 점진적으로 감소하는 크기 특성에 의해 기존의 체비세프 함수보다 통과대역에서 크기 특성이 크게 개선되었다. 이러한 크기 특성의 변화로 위상 특성도 선형적인 특성을 갖고. 시간지연은 최고점과 최저점의 차이가 현저히 감소되면서 시간지연 특성이 개선되었다. 또한, 제안된 체비세프 함수는 짝수와 홀수 차수를 포함하는 모든 차수에서 최대전력전송이 가능한 수동 복종단 제자형 회로망으로 실현이 가능하고, 모의법을 이용하면 낮은 감도 특성을 갖는 능동 RC 필터 또는 스위치드 커패시터 필터로도 구현할 수 있다. 제안된 체비세프 필터의 특성을 고찰하기 위하여 6차 수동 복종단 제자형 저역통과 필터를 설계하였고, MATLAB과 SPICE 프로그램으로 필터 특성을 분석하였다. 제안된 체비세프 함수는 기존의 체비세프 함수가 갖는 문제점을 해결할 수 있으며, 각종 신호처리용 필터 설계에 사용 시 필터 크기, 위상, 시간 지연 특성 개선에 활용할 수 있다.

• 국제강구조저널
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• 제18권4호
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• pp.1440-1463
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• 2018

The Wagner coefficient is a key parameter used to describe the inelastic lateral-torsional buckling (LTB) behaviour of the I-beam, since even for a doubly-symmetric I-section with residual stress, it becomes a monosymmetric I-section due to the characteristics of the non-symmetrical distribution of plastic regions. However, so far no theoretical derivation on the energy equation and Wagner's coefficient have been presented due to the limitation of Vlasov's buckling theory. In order to simplify the nonlinear analysis and calculation, this paper presents a simplified mechanical model and an analytical solution for doubly-symmetric I-beams under pure bending, in which residual stresses and yielding are taken into account. According to the plate-beam theory proposed by the lead author, the energy equation for the inelastic LTB of an I-beam is derived in detail, using only the Euler-Bernoulli beam model and the Kirchhoff-plate model. In this derivation, the concept of the instantaneous shear centre is used and its position can be determined naturally by the condition that the coefficient of the cross-term in the strain energy should be zero; formulae for both the critical moment and the corresponding critical beam length are proposed based upon the analytical buckling equation. An analytical formula of the Wagner coefficient is obtained and the validity of Wagner hypothesis is reconfirmed. Finally, the accuracy of the analytical solution is verified by a FEM solution based upon a bi-modulus model of I-beams. It is found that the critical moments given by the analytical solution almost is identical to those given by Trahair's formulae, and hence the analytical solution can be used as a benchmark to verify the results obtained by other numerical algorithms for inelastic LTB behaviour.