• 대한수학회논문집
• /
• 제38권4호
• /
• pp.1029-1044
• /
• 2023

The purpose of this paper is to introduce the concept of joint essential numerical spectrum 𝜎_en(·) of q-tuple of operators on a Banach space and to study its properties. This notion generalize the notion of the joint essential numerical range.

• Journal of Communications and Networks
• /
• 제16권2호
• /
• pp.140-145
• /
• 2014

In this paper, we propose an anti-interference cooperative spectrum sharing strategy for cognitive system, in which a secondary system can operate on the same spectrum of a primary system. Specifically, the primary system leases a fraction of its transmission time to the secondary system in exchange for cooperation to achieve the target rate. To gain access to the spectrum of the primary system, the secondary system needs to allocate a fraction of bandwidth to help forward the primary signal. As a reward, the secondary system can use the remaining bandwidth to transmit its own signal. The secondary system uses different bandwidth to transmit the primary and its own signal. Thus, there will be no interference felt at primary and secondary systems. We study the joint optimization of time and bandwidth allocation such that the transmission rate of the secondary system is maximized, while guaranteeing the primary system, as a higher priority, to achieve its target transmission rate. Numerical results show that the secondary system can gain significant improvement with the proposed strategy.

• Journal of Communications and Networks
• /
• 제13권4호
• /
• pp.360-366
• /
• 2011

In this paper, we investigate the problem of power allocation in a heterogeneous network that is composed of a pair of cognitive users (CUs) and an infrastructure-based primary network. Since CUs have only limited effective spectrum-sensing ability and primary users (PUs) are not active all the time in all locations and licensed bands, we set up a new multi-area model to characterize the heterogeneous network. A novel combined interference-avoidance policy corresponding to different PU-appearance situations is introduced to protect the primary network from unacceptable disturbance and to increase the spectrum secondary-reuse efficiency. We use dual decomposition to transform the original power allocation problem into a two-layer optimization problem. We propose a low-complexity joint power-optimizing method to maximize the transmission rate between CUs, taking into account both the individual power-transmission constraints and the combined interference power constraint of the PUs. Numerical results show that for various values of the system parameters, the proposed joint optimization method with combined PU protection is significantly better than the opportunistic spectrum access mode and other heuristic approaches.

• KSII Transactions on Internet and Information Systems (TIIS)
• /
• 제9권3호
• /
• pp.1057-1073
• /
• 2015

In this paper, we consider cooperative D2D communications in cellular networks. More precisely, a cellular user leases part of its spectrum to facilitate the D2D communication with a goal of improving the energy efficiency of a D2D pair. However the D2D pair is untrusted to the cellular user, such resource sharing may result in the information of this cellular user unsecured. In order to motivate the cellular user's generosity, this D2D pair needs to help the cellular user maintain a target secrecy rate. To address this issue, we formulate a joint spectrum and power allocation problem to maximize the energy efficiency of the D2D communication while guaranteeing the physical layer security of the cellular user. Then, a theorem is proved to indicate the best resource allocation strategy, and accordingly, an algorithm is proposed to find the best solution to this resource allocation problem. Numerical results are finally presented to verify the validity and effectiveness of the proposed algorithm.

• KSII Transactions on Internet and Information Systems (TIIS)
• /
• 제7권12호
• /
• pp.3037-3054
• /
• 2013

Interference between primary user (PU) and secondary user (SU) transceivers should be mitigated in order to implement underlay spectrum sharing in cognitive radio networks (CRN). Considering this scenario, an improved joint subcarrier and bit allocation scheme for cognitive user with primary users' cooperation (PU Coop) in CRN is proposed. In this scheme, the optimization problem is formulated to minimize the average interference power level at the PU receiver via PU Coop, which guarantees a higher primary signal to interference plus noise ratio (SINR) while maintaining the secondary user total rate constraint. The joint optimal scheme is separated into subcarrier allocation and bit assignment in each subcarrier via arith-metric geo-metric (AM-GM) inequality with asymptotical optimization solution. Moreover, the joint subcarrier and bit optimization scheme, which is evaluated by the available SU subcarriers and the allocated bits, is analyzed in the proposed PU Coop model. The performance of cognitive spectral efficiency and the average interference power level are investigated. Numerical analysis indicates that the SU's spectral efficiency increases significantly compared with the PU non-cooperation scenario. Moreover, the interference power level decreases dramatically for the proposed scheme compared with the traditional Hughes-Hartogs bit allocation scheme.

• Journal of Communications and Networks
• /
• 제16권6호
• /
• pp.627-638
• /
• 2014

In this paper, we study the joint price and power allocation in spectrum sharing macro-femtocell networks. The proposed game theoretic framework is based on bi-level Stackelberg game where macro base station (MBS) works as a leader and underlaid femto base stations (FBSs) work as followers. MBS has fixed data rate and imposes interference price on FBSs for maintaining its data rate and earns revenue while FBSs jointly adjust their power for maximizing their data rates and utility functions. Since the interference from FBSs to macro user equipment is kept under a given threshold and FBSs compete against each other for power allocation, there is a need to determine a power allocation strategy which converges to Stackelberg equilibrium. We consider two cases for MBS power allocation, i.e., fixed and dynamic power. MBS can adjust its power in case of dynamic power allocation according to its minimum data rate requirement and number of FBSs willing to share the spectrum. For both cases we consider uniform and non-uniform pricing where MBS charges same price to all FBSs for uniform pricing and different price to each FBS for non-uniform pricing according to its induced interference. We obtain unique closed form solution for each case if the co-interference at FBSs is assumed fixed. And an iterative algorithm which converges rapidly is also proposed to take into account the effect of co-tier interference on interference price and power allocation strategy. The results are explained with numerical simulation examples which validate the effectiveness of our proposed solutions.

• 한국해안해양공학회지
• /
• 제2권2호
• /
• pp.83-95
• /
• 1990

현재 해안공학에 있어서 불규칙파랑을 표현하는 방법으로서 스펙트럼분석법과 파별해석법이 있다. 그 중,스펙트럼해석법은 수심이 깊고 입사파랑의 분산성이 큰 영역에, 파랑분석법은 수심이 얕고 비선형성이 강한 영역 및 석파와 같은 불연속현상을 취급할 경우에 각각적용 되어진다. 그러므로 현지 불규칙파랑장을 계통적으로 취급하기 위해서는 어느 수심영역에서 스펙트럼해석으로부터 파별분석으로 전의해야 할 것인가에 대한 연구가 필요하게 된다. 본 연구는 현지 불규칙파랑의 전파에 의한 변형을 계통적으로 취급할 수 있는 구체적인 방법을 확립하기 위해서 행한 일연의 연구로서 입사파랑의 방향분석이 없는 2차원 불규칙파에 대한 천수을 행하여 스펙트럼해석법의 적용한계, 스펙트럼에서 추정되어지는 파고, 주기의 결합확률분포, 불규칙파의 천수, 석파변형에 대한 파별분석법의 적용한계 등에 대해서 검토한 것이다.

• 한국통신학회논문지
• /
• 제31권6A호
• /
• pp.586-592
• /
• 2006

대역확산 시스템에서 나머지 도플러 주파수 오프셋이 (residual Doppler frequency offset, RDFO) 있으면 부호 동기가 정확히 맞을 때에도 표본화된 최고 상관값은 실제 상관값의 꼭지값보다 낮다. 이로 말미암아 기존 단일 주파수 셀 (single frequency cell, SFC) 검파기법의 성능은 떨어진다. 이 논문에서는 RDFO가 있을 때 실제 꼭지값 근처에 상관값이 큰 여러 표본이 존재하는 것에 착안하여 새로운 탐색기법을 제안한다. 이를 위해 먼저 대역 확산 시스템에서 RDFO가 성능을 떨어뜨리는지 분석한다. 그 뒤, 기존 기법과 제안한 기법의 검파확률과 오경보확률을 얻고, 모의실험을 수행하여 RDFO가 있을 때 제안한 기법이 기존 기법보다 성능이 뛰어남을 보인다.

• 한국해안·해양공학회논문집
• /
• 제31권5호
• /
• pp.278-293
• /
• 2019

파고와 주기 결합분포는 그 공학적 가치에도 불구하고, 주기에 대한 해석 모형의 부재로 인해 파고 분포에 비해 상대적으로 소홀히 다루어져, 현재 비선형성이 주기분포에 미치는 영향에 대해서도 서로 다른 의견이 상존한다. 이에 비해 파고 분포의 경우, 많은 노력이 이루어져 성과가 상당하나, 아직 이러한 성과는 파고와 주기 결합분포로 확대되지 못하였다. 본 논문에서는 이러한 문제를 해결하기 위해 먼저 파고와 주기의 결합분포를 조건부 주기 분포와 파고 분포의 곱으로 정의하였다. 이어 비선형 불규칙 파동계에서의 파고 분포, 임의의 대역폭을 지니는 비선형 불규칙 파랑계에서의 파고분포를 유도하고, 이를 Longuet-Higgins(1975, 1983), Cavanie et al.(1976)의 조건부 주기확률분포와 결합하여 새로운 파고와 주기 결합분포를 제시하였다. 검증과정은 Wallops 스펙트럼에 기초하여 수치 모의된 파랑시계열자료와 경사가 1:15인 단조해안에서 진행되는 불규칙 파랑 천수과정 수치모의를 통해 얻은 강비선형 파랑자료를 활용하여 수행되었으며, 모의 결과 finite banded waves를 대상으로 한 파고 분포와 Cavanie et al. (1976)의 조건부 주기 확률분포를 활용하는 경우 가장 근접한 결과를 얻을 수 있었다.

• Earthquakes and Structures
• /
• 제17권1호
• /
• pp.75-89
• /
• 2019

The paper presents experimental and numerical studies carried out on low-rise RC frames, typically found in developing countries. Shake table tests were conducted on 1:3 reduced scaled two-story RC frames that included a code conforming SMRF model and another non-compliant model. The later was similar to the code conforming model, except, it was prepared in concrete having strength 33% lower than the design specified, which is commonly found in the region. The models were tested on shake table, through multiple excitations, using acceleration time history of 1994 Northridge earthquake, which was linearly scaled for multi-levels excitations in order to study the structures' damage mechanism and measure the structural response. A representative numerical model was prepared in finite element based program SeismoStruct, simulating the observed local damage mechanisms (bar-slip and joint shear hinging), for seismic analysis of RC frames having weaker beam-column joints. A suite of spectrum compatible acceleration records was obtained from PEER for incremental dynamic analysis of considered RC frames. The seismic performance of considered RC frames was quantified in terms of seismic response parameters (seismic response modification, overstrength and displacement amplification factors), for critical comparison.