• Title/Summary/Keyword: convergence in probability

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Cooperative Power Control Scheme for a Spectrum Sharing System

  • Ban, Tae-Won;Jung, Bang-Chul
    • Journal of information and communication convergence engineering
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    • v.9 no.6
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    • pp.641-646
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    • 2011
  • In this paper, we investigate a power control problem which is very critical in underlay-based spectrum sharing systems. Although an underlay-based spectrum sharing system is more efficient compared to an overlay-based spectrum sharing system in terms of spectral utilization, some practical problems obstruct its commercialization. One of them is a real-time-based power adaptation of secondary transmitters. In the underlay-based spectrum sharing system, it is essential to adapt secondary user's transmit power to interference channel states to secure primary users' communication. Thus, we propose a practical power control scheme for secondary transmitters. The feedback overhead of our proposed scheme is insignificant because it requires one-bit signaling, while the optimal power control scheme requires the perfect information of channel states. In addition, the proposed scheme is robust to feedback delay. We compare the performance of the optimal and proposed schemes in terms of primary user's outage probability and secondary user's throughput. Our simulation results show that the proposed scheme is almost optimal in terms of both primary user's outage probability and secondary user's throughput when the secondary user's transmit power is low. As the secondary user's transmit power increases, the primary user's outage probability of the proposed scheme is degraded compared with the optimal scheme while the secondary user's throughput still approaches that of the optimal scheme. If the feedback delay is considered, however, the proposed scheme approaches the optimal scheme in terms of both the primary user's outage probability and secondary user's throughput regardless of the secondary user's transmit power.

Performance Evaluation of Block Error of FS MC-CDMA System in Various Nakagami Fading Channels

  • Jin, Ze-Guang;Kang, Heau-Jo
    • Journal of information and communication convergence engineering
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    • v.4 no.4
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    • pp.131-135
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    • 2006
  • In this paper, we discusses that the theoretical analysis is made for the performance of FS MC-CDMA by the aid of the Nakagami fading channels and the block error probabilities of the FS MC-CDMA in Nakagami fading channel are presented. The channel fading speed, slow or fast, is considered in evaluating block error probabilities. The effectiveness of diversity combining in improving block error performance is examined.

Limiting Behavior of Tail Series of Independent Random Variable (독립인 확률변수들의 Tail 합의 극한 성질에 대하여)

  • Jang Yoon-Sik;Nam Eun-Woo
    • The Journal of the Korea Contents Association
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    • v.6 no.4
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    • pp.63-68
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    • 2006
  • For the almost co티am convergent series $S_n$ of independent random variables, by investigating the limiting behavior of the tail series, $T_n=S-S_{n-1}=\sum_{i=n}^{\infty}X_i$, the rate of convergence of the series $S_n$ to a random variable S is studied in this paper. More specifically, the equivalence between the tail series weak law of large numbers and a limit law is established for a quasi-monotone decreasing sequence, thereby extending a result of Previous work to the wider class of the norming constants.

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Distributed beamforming with one-bit feedback and clustering for multi-node wireless energy transfer

  • Lee, Jonghyeok;Hwang, SeongJun;Hong, Yong-gi;Park, Jaehyun;Byun, Woo-Jin
    • ETRI Journal
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    • v.43 no.2
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    • pp.221-231
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    • 2021
  • To resolve energy depletion issues in massive Internet of Things sensor networks, we developed a set of distributed energy beamforming methods with one-bit feedback and clustering for multi-node wireless energy transfer, where multiple singleantenna distributed energy transmitters (Txs) transfer their energy to multiple nodes wirelessly. Unlike previous works focusing on distributed information beamforming using a single energy receiver (Rx) node, we developed a distributed energy beamforming method for multiple Rx nodes. Additionally, we propose two clustering methods in which each Tx node chooses a suitable Rx node. Furthermore, we propose a fast distributed beamforming method based on Tx sub-clustering. Through computer simulations, we demonstrate that the proposed distributed beamforming method makes it possible to transfer wireless energy to massive numbers of sensors effectively and rapidly with small implementation complexity. We also analyze the energy harvesting outage probability of the proposed beamforming method, which provides insights into the design of wireless energy transfer networks with distributed beamforming.

A Study on the Prediction Method of Information Exchange Requirement in the Tactical Network (전술네트워크의 정보교환요구량 예측 방법에 관한 연구)

  • Pokki Park;Sangjun Park;Sunghwan Cho;Junseob Kim;Yongchul Kim
    • Convergence Security Journal
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    • v.22 no.5
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    • pp.95-105
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    • 2022
  • The Army, Navy, and Air Force are making various efforts to develop a weapon system that incorporates the 4th industrial revolution technology so that it can be used in multi-domain operations. In order to effectively demonstrate the integrated combat power through the weapon system to which the new technology is applied, it is necessary to establish a network environment in which each weapon system can transmit and receive information smoothly. For this, it is essential to analyze the Information Exchange Requirement(IER) of each weapon system, but many IER analysis studies did not sufficiently reflect the various considerations of the actual tactical network. Therefore, this study closely analyzes the research methods and results of the existing information exchange requirements analysis studies. In IER analysis, the size of the message itself, the size of the network protocol header, the transmission/reception structure of the tactical network, the information distribution process, and the message occurrence frequency. In order to be able to use it for future IER prediction, we present a technique for calculating the information exchange requirement as a probability distribution using the Poisson distribution and the probability generating function. In order to prove the validity of this technique, the results of the probability distribution calculation using the message list and network topology samples are compared with the simulation results using Network Simulator 2.

Block Error Performance of Transmission in Slow Nakagami Fading Channels with Diversity

  • Kim, Young-Nam;Kang, Heau-Jo;Chung, Myung-Rae
    • Journal of information and communication convergence engineering
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    • v.1 no.3
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    • pp.119-122
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    • 2003
  • In this paper presents equations which describe an average weighted spectrum of errors and average block error probabilities for noncoherent frequency shift keying (NCFSK) used in D-branch maximal ratio combining (MRC) diversity in independent very slow nonselective Nakagami fading channels. The average is formed over the instantaneous receiver signal to noise ratio (SNR) after combining. the analysis is limited to additive Gaussian noise.

TYPE SPACES AND WASSERSTEIN SPACES

  • Song, Shichang
    • Journal of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.447-469
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    • 2018
  • Types (over parameters) in the theory of atomless random variable structures correspond precisely to (conditional) distributions in probability theory. Moreover, the logic (resp. metric) topology on the type space corresponds to the topology of weak (resp. strong) convergence of distributions. In this paper, we study metrics between types. We show that type spaces under $d^{\ast}-metric$ are isometric to Wasserstein spaces. Using optimal transport theory, two formulas for the metrics between types are given. Then, we give a new proof of an integral formula for the Wasserstein distance, and generalize some results in optimal transport theory.

Mid-Term Energy Demand Forecasting Using Conditional Restricted Boltzmann Machine (조건적 제한된 볼츠만머신을 이용한 중기 전력 수요 예측)

  • Kim, Soo-Hyun;Sun, Young-Ghyu;Lee, Dong-gu;Sim, Is-sac;Hwang, Yu-Min;Kim, Hyun-Soo;Kim, Hyung-suk;Kim, Jin-Young
    • Journal of IKEEE
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    • v.23 no.1
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    • pp.127-133
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    • 2019
  • Electric power demand forecasting is one of the important research areas for future smart grid introduction. However, It is difficult to predict because it is affected by many external factors. Traditional methods of forecasting power demand have been limited in making accurate prediction because they use raw power data. In this paper, a probability-based CRBM is proposed to solve the problem of electric power demand prediction using raw power data. The stochastic model is suitable to capture the probabilistic characteristics of electric power data. In order to compare the mid-term power demand forecasting performance of the proposed model, we compared the performance with Recurrent Neural Network(RNN). Performance comparison using electric power data provided by the University of Massachusetts showed that the proposed algorithm results in better performance in mid-term energy demand forecasting.

Analysis of the maintenance margin level in the KOSPI200 futures market (KOSPI200 선물 유지증거금률에 대한 실증연구)

  • Kim, Joon;Kim, Young-Sik
    • Journal of the Korean Society of Industry Convergence
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    • v.8 no.2
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    • pp.85-95
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    • 2005
  • The margin level in the futures market platys an important role in balancing the default probability with the investor's opportunity cost. In this paper, we investigate whether the movement of KOSPI200 futures daily prices can be modeled with the extreme value theory. Based on this investigation, we examine the validity of the margin level set by the extreme value theory. Moreover, we propose an expected profit-maximization model for securities companies. In this model, the extreme value theory is used for cost estimation, and a regression analysis is used for revenue calculation. Computational results are presented to compare the extreme value distribution with the empirical distribution of margin violation in KOSPI200 and to examine the suitability of the expected profit-maximization model.

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A tightness theorem for product partial sum processes indexed by sets

  • Hong, Dug-Hun;Kwon, Joong-Sung
    • Journal of the Korean Mathematical Society
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    • v.32 no.1
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    • pp.141-149
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    • 1995
  • Let N denote the set of positive integers. Fix $d_1, d_2 \in N with d = d_1 + d_2$. Let X and Y be real random variables and let ${X_i : i \in N^d_1} and {Y_j : j \in N^d_2}$ be independent families of independent identically distributed random variables with $L(X) = L(X_i) and L(Y) = L(Y_j)$, where $L(\cdot)$ denote the law of $\cdot$.

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