• Korean Journal of Mathematics
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• 제16권1호
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• pp.51-55
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• 2008

Let f be an analytic function with a simple zero in the reals or the complex numbers. An extraneous fixed-point of an iteration function is a fixed-point different from a zero of f. We prove that all extraneous fixed-points of Laguerre-like iteration functions and general Laguerre-like functions are repulsive.

• Journal of Applied and Pure Mathematics
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• 제6권1_2호
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• pp.37-45
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• 2024

The aim of this article is to consider the sequences generated by repeatedly performing matrix multiplication operations, define the stable, amicable pair, sociable matrix sequences, and analyze the results obtained through iteration. Lastly, numbers are changed to colors to make them easier to understand.

• 한국콘텐츠학회논문지
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• 제6권2호
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• pp.162-168
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• 2006

본 논문에서는 최소 반복횟수를 갖고 잉여 수를 기반으로 하는 고성능 CORDIC 회로를 제안하였다. 최소 반복횟수는 계산미숙오차가 절단오차보다 작아지는 시점으로 결정하였다 최소 반복 횟수는 n이 입력 각도의 비트 수 일 때 n이 $n\geq16$이면 최소 반복 횟수는 n-4임을 알 수 있다. 이 CORDIC 회로는 잉여 수 시스템을 기반으로 변환 상수를 갖는 회로이다. 이 회로의 성능은 사인과 코사인을 계산하는데 {5 (n-4)+ 2[$log_{2}n$]}$\DeltaT$의 지연 시간을 갖는다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제10권12호
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• pp.5361-5374
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• 2016

Combining channel coding and network coding in a physical layer in a fading channel, generalized joint channel-network coding (G-JCNC) is proved to highly perform in a two-way relay channel (TWRC). However, most relevant discussions are restricted to symmetric networks. This paper investigates the G-JCNC protocols in an asymmetric TWRC (A-TWRC). A newly designed encoder used by source nodes that is dedicated to correlate codewords with different orders is presented. Moreover, the capability of a simple common non-binary decoder at a relay node is verified. The effects of a power match under various numbers of iteration and code lengths are also analyzed. The simulation results give the optimum power match ratio and demonstrate that the designed scheme based on G-JCNC in an A-TWRC has excellent bit error rate performance under an appropriate power match ratio.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2000년도 추계종합학술대회 논문집(1)
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• pp.165-168
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• 2000

The bit error rate(BER)of the data passed through Wideband-Code Division Multiple Access (W-CDMA) system with turbo-codes structure is presented. The performance of turbo-codes under W-CDMA system is estimated for various users and iteration numbers of decoding. The channel model is Additive White Gaussian Noise(AWGN) and Rayleigh fading channel. When iteration number increases, bit error probability of turbo-codes decreases. and when the number of users increase, bit error probability of turbo-codes increases.

• Kyungpook Mathematical Journal
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• 제62권1호
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• pp.69-88
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• 2022

In this work, the three-step intermixed iteration for two finite families of nonlinear mappings is introduced. We prove a strong convergence theorem for approximating a common fixed point of a strict pseudo-contraction and strictly pseudononspreading mapping in a Hilbert space. Some additional results are obtained. Finally, a numerical example in a space of real numbers is also given and illustrated.

• 대한의용생체공학회:의공학회지
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• 제22권3호
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• pp.241-247
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• 2001

ABR(auditory brainstem response) is one of the audiometry which measures objective hearing threshold level by acquiring electric evoked potentials emanated from auditory nerve system responding to an auditory stimulation. However, the obtained potentials which are largely interfered by power line noise, have extremely low SNR, thus ensemble average algorithm is generally used. The purpose of this study was to investigate the effect of iteration number in ensemble average on the reduction of the power line noise. The power line noise was modeled to be a 60 Hz sinusoidal signal and the energy of the modeled signal was calculated when it was averaged. It was verified by simulation that the energy had the periodic zero points for each stimulation rate, and 60 Hz signal induced by the power line was applied to the developed ABR system to confirm that the period of zero energy point was the same with that of the simulation. By the properly selected iteration number, power line noise could be reduced and more reliable ABR could be acquired.

• Journal of Mechanical Science and Technology
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• 제20권11호
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• pp.1950-1960
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• 2006

Based on Banach fixed point theorem, a method to calculate nonlinear superposition for three interacting Stokes' waves is proposed in this paper. A mathematical formulation for the nonlinear superposition in deep water and some numerical solutions were investigated. The authors carried out the numerical study with three progressive linear potentials of different wave numbers and succeeded in solving the nonlinear wave profiles of their three wave-interaction, that is, using only linear wave potentials, it was possible to realize the corresponding nonlinear interacting wave profiles through iteration of the method. The stability of the method for the three interacting Stokes' waves was analyzed. The calculation results, together with Fourier transform, revealed that the iteration made it possible to predict higher-order nonlinear frequencies for three Stokes' waves' interaction. The proposed method has a very fast convergence rate.

• 한국정보전자통신기술학회논문지
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• 제5권3호
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• pp.164-168
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• 2012

본 논문에서는 DVB-S2 표준안에서 권고되고 있는 irregular LDPC 부호의 고속화 방안에 대한 연구를 하였다. LDPC 복호기에서는 많은 반복횟수와 많은 연산량이 복호 속도 저하의 원인이 되고 있으며, 성능 저하 없이 반복횟수와 연산량을 감소하기 위해서 HSS 기반의 LDPC 복호 구조를 제시하였다. 결과 반복횟수를 성능 저하 없이 절반으로 줄일 수 있으며, 이를 효율적인 설계방안을 제시하였다. 결과 600Mbps급의 throughput을 갖는 LDPC 복호기를 구현 가능케 하였다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제15권1호
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• pp.19-30
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• 2011

In [21], we compared the Newton-Krylov method and some high-order methods to solve nonlinear systems. In this paper, we propose high-order Newton-Krylov methods combining the Newton-Krylov method with some high-order iterative methods to solve systems of nonlinear equations. We provide some numerical experiments including comparisons of CPU time and iteration numbers of the proposed high-order Newton-Krylov methods for several nonlinear systems.