• Title/Summary/Keyword: fractional power

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Power allocation for full-duplex NOMA relaying based underlay D2D communications

  • Li, Song;Li, Shuo;Sun, Yanjing
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.1
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    • pp.16-33
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    • 2019
  • In this paper, a full-duplex NOMA relaying based underlay device-to-device (D2D) communication scheme is proposed, in which D2D transmitter assists cellular downlink transmission as a full-duplex relay. Specifically, D2D transmitter receives signals from base station and transmits the superposition signals to D2D receiver and cellular user in NOMA scheme simultaneously. Furthermore, we investigate the power allocation under the proposed scheme, aiming to maximize D2D link's achievable transmit rate under cellular link's transmit rate constraint and total power constraint. To tackle the power allocation problem, we first propose a power allocation method based on linear fractional programming. In addition, we derive closed-form expressions of the optimal transmit power for base station and D2D transmitter. Simulation results show that the performance of two solutions matches well and the proposed full-duplex NOMA relaying based underlay D2D communication scheme outperforms existing full-duplex relaying based D2D communication scheme.

HELMHOLTZ DECOMPOSITION AND SEMIGROUP THEORY TO THE FLUID AROUND A MOVING BODY

  • Bae, Hyeong-Ohk
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.661-676
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    • 2020
  • To understand the interaction of a fluid and a rigid body, we use the concept of B-evolution. Then in a similar way to the usual Navier-Stokes system, we obtain a Helmholtz type decomposition. Using B-evolution theory and the decomposition, we work on the semigroup to analyze the linear part of the system.

CONTROLLABILITY OF NEUTRAL FUNCTIONAL INTEGRODIFFERENTIAL SYSTEMS IN ABSTRACT SPACE

  • Li, Meili;Duan, Yongrui;Fu, Xianlong;Wang, Miansen
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.101-112
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    • 2007
  • In this paper, by using fractional power of operators and Sadovskii fixed point theorem, we study the controllability of abstract neutral functional integrodifferential systems with infinite delay. As application, an example is provided to illustrate the obtained results.

EXISTENCE OF MILD SOLUTIONS IN THE α-NORM FOR SOME PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

  • Jang, Hyun Ho
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.3
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    • pp.393-401
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    • 2014
  • In this work, we discuss the existence of mild solutions in the ${\alpha}$-norm for some partial functional integrodifferential equations with infinite delay. We assume that the linear part generates an analytic semigroup on a Banach space X and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.

STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SOLUTIONS OF CLASS r IN 𝛼-NORM UNDER THE LIGHT OF MEASURE THEORY

  • DJENDODE MBAINADJI;ISSA ZABSONRE
    • Journal of Applied and Pure Mathematics
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    • v.5 no.3_4
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    • pp.129-164
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    • 2023
  • The aim of this work is to present some interesting results on weighted ergodic functions and prove the existence and uniqueness of Stepanov-like pseudo almost automorphic solutions using the spectral decomposition of the phase space developed by Adimy and co-authors. We also give the next challenge of this work.

A Low-Power Design of Delta-Sigma Based Digital Frequency Synthesizer for Bio Sensor Networks (의료용 센서 네트워크를 위한 저전력 델타 시그마 디지털 주파수 합성기 설계)

  • Bae, Jung-Nam;Kim, Jin-Young
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.5
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    • pp.193-197
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    • 2017
  • In this paper, we present a low-power delta-sigma based digital frequency synthesizer with high frequency resolution for bio sensor networks. Biomedical radio-frequency (RF) transceivers require miniaturized forms with a long battery life and low power consumption. For the technology scaling, digital circuits have become preferable compared to analog circuits because of the aggressive cost, size, flexibility, and repeatability. Therefore, the digital circuits based on standard-cell library are used to reduce a power consumption. Additionally, a delta-sigma is used for making fractional frequency tuning range. From the simulation, we confirmed that proposed scheme has good performance in accordance with power and frequency resolution.

QoS Priority Based Femtocell User Power Control for Interference Mitigation in 3GPP LTE-A HetNet

  • Ahmad, Ishtiaq;Kaleem, Zeeshan;Chang, KyungHi
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39B no.2
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    • pp.61-74
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    • 2014
  • In recent years, development of femtocells are receiving considerable attention towards increasing the network coverage, capacity, and improvement in the quality of service for users. In 3GPP LTE-Advanced (LTE-A) system, to efficiently utilize the bandwidth, femtocell and macro cell uses the same frequency band, but this deployment poses a technical challenge of cross-tier interference to macro users. In this paper, the novel quality of service based fractional power control (QoS-FPC) scheme under the heterogeneous networks environment is proposed, which considers the users priority and QoS-requirements during the power allocation. The proposed QoS-FPC scheme has two focal points: firs, it protects the macrocell users uplink communication by limiting the cross-tier interference at eNB below a given threshold, and second, it ensures the optimization of femtocell users power allocation at each power adjustment phase. Performance gain is demonstrated with extensive system-level simulations to show that the proposed QoS-FPC scheme significantly decreases the cross-tier intereference and improves the overall users throughput.

Energy-Efficiency Power Allocation for Cognitive Radio MIMO-OFDM Systems

  • Zuo, Jiakuo;Dao, Van Phuong;Bao, Yongqiang;Fang, Shiliang;Zhao, Li;Zou, Cairong
    • ETRI Journal
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    • v.36 no.4
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    • pp.686-689
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    • 2014
  • This paper studies energy-efficiency (EE) power allocation for cognitive radio MIMO-OFDM systems. Our aim is to minimize energy efficiency, measured by "Joule per bit" metric, while maintaining the minimal rate requirement of a secondary user under a total power constraint and mutual interference power constraints. However, since the formulated EE problem in this paper is non-convex, it is difficult to solve directly in general. To make it solvable, firstly we transform the original problem into an equivalent convex optimization problem via fractional programming. Then, the equivalent convex optimization problem is solved by a sequential quadratic programming algorithm. Finally, a new iterative energy-efficiency power allocation algorithm is presented. Numerical results show that the proposed method can obtain better EE performance than the maximizing capacity algorithm.