• Journal of applied mathematics & informatics
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• 제38권5_6호
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• pp.591-600
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• 2020

This work is a continuation of our investigations for p-adic analogue of the alternating form Dirichlet L-functions $$L_E(s,{\chi})={\sum\limits_{n=1}^{\infty}}{\frac{(-1)^n{\chi}(n)}{n^s}},\;Re(s)>0$$. Let L_p,E(s, t; χ) be the p-adic Euler L-function of two variables. In this paper, for any α ∈ ℂ_p, |α|_p ≤ 1, we give a power series expansion of L_p,E(s, t; χ) in terms of the variable t. From this, we derive a power series expansion of the generalized Euler polynomials with negative index, that is, we prove that $$E_{-n,{\chi}}(t)={\sum\limits_{m=0}^{\infty}}\(\array{-n\\m}\)E_{-(m+n),{\chi}^{t^m}},\;n{\in}{\mathbb{N}}$$, where t ∈ ℂ_p with |t|_p < 1. Some further properties for L_p,E(s, t; χ) has also been shown.

• 대한수학회지
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• 제57권3호
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• pp.585-602
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• 2020

In this paper, we construct four infinite families of binary linear codes associated with double cosets with respect to a certain maximal parabolic subgroup of the orthogonal group O⁺(2n, 2^r). And we obtain two infinite families of recursive formulas for the power moments of Kloosterman sums and those of 2-dimensional Kloosterman sums in terms of the frequencies of weights in the codes. This is done via Pless' power moment identity and by utilizing the explicit expressions of exponential sums over those double cosets related to the evaluations of "Gauss sums" for the orthogonal groups O⁺(2n, 2^r).

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제15권3호
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• pp.1174-1192
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• 2021

With the assistance of non-orthogonal multiple access (NOMA), the spectrum efficiency and the number of users in cloud radio access network (CRAN) can be greatly improved. In this paper, the system performance of NOMA-assisted CRAN is investigated. Specially, the outage probability (OP) and ergodic sum rate (ESR), are derived for performance evaluation of the system, respectively. Based on this, by minimizing the OP of the system, a suboptimal power allocation (PA) scheme with closed-form PA coefficients is proposed. Numerical simulations validate the accuracy of the theoretical results, where the derived OP has more accuracy than the existing one. Moreover, the developed PA scheme has superior performance over the conventional fixed PA scheme but has smaller performance loss than the optimal PA scheme using the exhaustive search method.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제11권6호
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• pp.3012-3028
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• 2017

In this paper, we propose a joint power control strategy for both the uplink and downlink transmission by considering the energy requirements of the user equipments' uplink data transmissions in data and energy integrated communication networks (DEINs). In DEINs, the base station (BS) adopts the power splitting (PS) aided simultaneous wireless information and power transfer (SWIPT) technique in the downlink (DL) transmissions, while the user equipments (UEs) carry out their own uplink (UL) transmissions by exploiting the energy harvested during the BS's DL transmissions. In our DEIN model, there are M UEs served by the BS in order to fulfil both of their DL and UL transmissions. The orthogonal frequency division multiple access (OFDMA) technique is adopted for supporting the simultaneous transmissions of multiple UEs. Furthermore, a transmission frame is divided into N time slots in the medium access control (MAC) layer. The mathematical model is established for maximizing the sum-throughput of the UEs' DL transmissions and for ensuring their fairness during a single transmission frame T, respectively. In order to achieve these goals, in each transmission frame T, we optimally allocate the BS's power for each subcarrier and the PS factor for each UE during a specific time slot. The original optimisation problems are transformed into convex forms, which can be perfectly solved by convex optimisation theories. Our numerical results compare the optimal results by conceiving the objective of maximising the sum-throughput and those by conceiving the objective of maximising the fair-throughput. Furthermore, our numerical results also reveal the inherent tradeoff between the DL and the UL transmissions.

• 한국ITS학회 논문지
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• 제9권6호
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• pp.136-150
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• 2010

최근 많은 실내 사용자들이 증가함에 따라 실내에서의 취약한 통화 품질의 문제가 대두되고 있다. 이러한 문제를 해결하기 위해 셀 소형화 기법이 제시되고 있고, 셀 소형화 기법 중 펨토셀(Femtocell)은 저렴한 설치 비용 대비 고성능의 통화 품질을 제공하기 때문에 문제 해결을 위한 방법으로 많은 연구가 진행되고 있다. 하지만 펨토셀은 사용자에 의해 직접 설치되어 다른 사용자에 대한 간섭을 고려하기 힘들기 때문에, 자기 스스로 주변의 간섭을 고려하여 전력을 설정하여야 한다. 만약 펨토셀 전력이 크게 설정되면 매크로셀 시스템에 간섭으로 작용할 것이며, 반대로 펨토셀 전력이 작게 설정되면 펨토셀 사용자의 수신 성능은 나빠지게 될 것이다. 그러므로 펨토셀 기지국은 매크로셀과 펨토셀 시스템 사이에서 발생하는 trade-off 관계를 잘 고려하여 다른 시스템의 사용자에게는 간섭을 최소화 시키고, 자신의 시스템에 속해있는 사용자에게는 최대의 신호를 송신하여 좋은 성능을 갖도록 하여야 한다. 본 논문에서는 이러한 trade-off 관계로 인한 문제점을 해결하기 위해 유전자 알고리즘(Genetic Algorithm)을 이용하여 최적의 펨토셀 전력을 설정한다. 또한 가중치합(Weighted Sum Approach) 기법을 통해 시스템 목적에 따라 다른 가중치를 부여하여 여러 가지 목적에 부합하는 시스템 성능을 갖도록 한다. 컴퓨터 시뮬레이션 수행을 통해 기존의 전력 설정 방식과 제안하는 가중치 합 유전자 알고리즘 기반 펨토셀 전력 설정 방식의 성능을 비교하였으며, 그 결과 제안한 알고리즘의 전력 설정 방식이 사용자에게 더 좋은 SINR(Signal to Noise Interference Ratio)과 많은 채널 용량을 갖는 것을 확인하였다.

• 한국위성정보통신학회논문지
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• 제6권1호
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• pp.19-27
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• 2011

본 논문에서는 블록 대각화 프리코딩 기법을 사용하는 다중 사용자 MIMO 하향링크 시스템에서 전체 채널 용량을 최대화하기 위한 데이터 스트림 할당 기법을 제안한다. 기존의 블록 대각화 프리코딩 기법은 모든 사용자에게 동일한 수의 데이터 스트림을 할당하고 water-filling에 의한 전력제어 만으로 전체 채널 용량을 최대화함으로써 데이터 스트림의 수의 차이에 의한 채널 용량의 이득을 스스로 제한했다. 제안하는 블록 대각화 프리코딩의 데이터 스트림 할당 기법은 시스템의 전체 채널 용량을 최대화하기 위하여 평균 채널이득, 순시 채널 이득의 크기를 비교하여 채널 이득이 좋은 사용자에게 많은 수의 데이터 스트림을 할당하고 water-filling을 통한 전력 제어를 하는 방법으로 채널 이득에 대한 채널 용량을 최대화 시킨다. 본 논문에서 제안된 데이터 스트림 할당 기법을 이용하여 시스템의 성능을 향상시킬 수 있음을 모의실험을 통해 증명했다.

• Nuclear Engineering and Technology
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• 제54권6호
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• pp.2084-2093
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• 2022

Probabilistic safety assessment is widely used to quantify the risks of nuclear power plants and their uncertainties. When the lognormal distribution describes the uncertainties of basic events, the uncertainty of the top event in a fault tree is approximated with the sum of lognormal random variables after minimal cutsets are obtained, and rare-event approximation is applied. As handling complicated analytic expressions for the sum of lognormal random variables is challenging, several approximation methods, especially Monte Carlo simulation, are widely used in practice for uncertainty analysis. In this study, a theoretical approach for analyzing the sum of lognormal random variables using an efficient numerical integration method is proposed for uncertainty analysis in probability safety assessments. The change of variables from correlated random variables with a complicated region of integration to independent random variables with a unit hypercube region of integration is applied to obtain an efficient numerical integration. The theoretical advantages of the proposed method over other approximation methods are shown through a benchmark problem. The proposed method provides an accurate and efficient approach to calculate the uncertainty of the top event in probabilistic safety assessment when the uncertainties of basic events are described with lognormal random variables.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제7권8호
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• pp.1786-1804
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• 2013

We consider a specific interference-limited wireless relay system that comprises several cooperation units (CUs) which are defined as a source and destination node pair with an associated relay node. In the wireless relay system, all source nodes simultaneously transmit their own signals and the relay node in each CU then forwards the received signal to the destination node, causing co-channel interference at both the relay node and the destination node in each CU. The co-channel interference at the relay node is closely related to that at the destination node in each CU. We first derive the end-to-end outage probability in a CU over Rayleigh slow-fading channels with interference for the decode-and-forward (DF) relaying strategy. Then, on the assumption that each CU is allocated with equal power we design an optimal power allocation between the source node and the relay node in each CU to minimize the outage probability of the investigated CU. At last, in the case that each CU is not allocated with equal power and the sum of their power is constrained, we present an optimal power allocation between CUs to minimize the sum of the outage probability of all CUs. The analytical results are verified by simulations.

• Journal of Communications and Networks
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• 제12권5호
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• pp.449-458
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• 2010

In this paper, we present a distributed resource allocation algorithm for multi-cell uplink systems that increases the weighted sum of the average data rates over the entire network under the average transmit power constraint of each mobile station. For the distributed operation, we arrange each base station (BS) to allocate the resource such that its own utility gets maximized in a noncooperative way. We define the utility such that it incorporates both the weighted sum of the average rates in each cell and the induced interference to other cells, which helps to instigate implicit cooperation among the cells. Since the data rates of different cells are coupled through inter-cell interferences, the resource allocation taken by each BS evolves over iterations. We establish that the resource allocation converges to a unique fixed point under reasonable assumptions. We demonstrate through computer simulations that the proposed algorithm can improve the weighted sum of the average rates substantially without requiring any coordination among the base stations.

• 대한전자공학회논문지SD
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• 제37권1호
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• pp.67-74
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• 2000

개선된 조건 합 가산기를 이용한 저전력 고속 $54{\times}54$-bit 곱셈기를 설계했다. 지연시간을 감소시키기 위해, Booth's Encoder 없이 높은 압축 율을 갖는 압축기들과 Carry 발생블록을 분리시킨 108-bit 조건 합 가산기를 제안하였다. 또한, 지연시간과 전력소모를 최적화하기 위해 패스 트랜지스터로직을 사용한 설계기법을 제안하였다. 제안된 곱셈기는 기존 곱셈기구조에 비해 약 12%의 지연시간과 5%의 전력소모가 감소하였으며, 0.65${\mu}m$ CMOS(Single-poly, triple-metal)공정을 사용하여 $6.60{\times}6.69mm^2$의 칩 크기와 공급전압 3.3V에서 13.5ns의 지연시간을 갖는다.