• Title/Summary/Keyword: closed form expressions

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Performance analysis of SWIPT-assisted adaptive NOMA/OMA system with hardware impairments and imperfect CSI

  • Jing Guo;Jin Lu;Xianghui Wang;Lili Zhou
    • ETRI Journal
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    • v.45 no.2
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    • pp.254-266
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    • 2023
  • This paper investigates the effect of hardware impairments (HIs) and imperfect channel state information (ICSI) on a SWIPT-assisted adaptive nonorthogonal multiple access (NOMA)/orthogonal multiple access (OMA) system over independent and nonidentical Rayleigh fading channels. In the NOMA mode, the energy-constrained near users act as a relay to improve the performance for the far users. The OMA transmission mode is adopted to avoid a complete outage when NOMA is infeasible. The best user selection scheme is considered to maximize the energy harvested and avoid error propagation. To characterize the performance of the proposed systems, closed-form and asymptotic expressions of the outage probability for both near and far users are studied. Moreover, exact and approximate expressions of the ergodic rate for near and far users are investigated. Simulation results are provided to verify our theoretical analysis and confirm the superiority of the proposed NOMA/OMA scheme in comparison with the conventional NOMA and OMA protocol with/without HIs and ICSI.

On the block error rate performance of cooperative non-orthogonal multiple access short-packet communications with full-duplex relay and partial relay selection

  • Ha Duy Hung;Hoang Van Toan;Tran Trung Duy;Le The Dung;Quang Sy Vu
    • ETRI Journal
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    • v.46 no.3
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    • pp.446-460
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    • 2024
  • In this paper, we mathematically investigate a downlink non-orthogonal multiple access (NOMA) system for short-packet communications (SPC) in which the near users are used as full-duplex (FD) relays to forward intended signals from the source to a far user. In addition, partial relay selection is employed to enhance the performance of the FD relays under the impact of imperfect interference cancellation. At the far user, selection combining (SC) or maximal ratio combining (MRC) is employed to combine the signals received from the source and the selected FD relay. The analytical expressions for the average block error rate (BLER) of two users over flat Rayleigh fading channels are derived. Furthermore, closed-form asymptotic expressions of the average BLERs at the near and far users in high signal-to-noise ratio (SNR) regimes are obtained. The numerical results show that the analytical BLERs of the near user and far user closely match the simulation results.

BER Performance of A Communication System Using BPSK Signaling Scheme with Smart Antenna at Base Station

  • Le, Minh-Tuan;Pham, Van-Su;Yoon, Gi-Wan
    • Journal of information and communication convergence engineering
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    • v.1 no.3
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    • pp.115-118
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    • 2003
  • This paper analyzes Bit Error Rate (BER) performance of a wireless communication system using BPSK modulation technique with a smart antenna at base station. The channels under consideration are Additive White Gaussian Noise (AWGN) channel or a slow, flat Rayleigh fading channel with AWGN. Under the assumptions that the MMSE beamformer is used and the time delays of all users are approximately equal, we first analytically derive closed-form expressions for the BER of the desired user. Then, computer simulation is carried out to verify the theoretical results.

An Efficient Adaptive Polarimetric Processor with an Embedded CFAR

  • Park, Hyung-Rae;Kwag, Young-Kil;Wang, Hong
    • ETRI Journal
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    • v.25 no.3
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    • pp.171-178
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    • 2003
  • To improve the detection performance of surveillance radars with polarization diversity, we developed an adaptive polarimetric processor and compared it with other polarimetric processors. We derived our adaptive polarimetric processor, called the polarization discontinuity detector (PDD), from the generalized likelihood ratio (GLR) test principle for the unspecified target component. We derived closed-form expressions of its probabilities of detection and false alarm, and compared its performance to that of the adaptive polarization canceller (APC) and Kelly's GLR processor. The PDD had a performance similar to Kelly's GLR in Gaussian clutter, and both the PDD and Kelly's GLR, which have embedded constant false alarm rates (CFARs), outperformed the APC, especially when the target polarization state was close to the clutter's polarization state. The important difference is that the PDD is much simpler than Kelly's GLR for hardware/software implementation, because the PDD does not require a costly two-parameter filter bank to cover the unknown target polarization state as Kelly's GLR does.

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Adaptive Filter Based PN Code Phase Acquisition Under Frequency Selective Rayleigh Fading Channels

  • Lee, Donghoon;Kim, Jeongchang;Cheun, Kyungwhoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.38A no.5
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    • pp.416-425
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    • 2013
  • A hybrid PN code phase acquisition system based on a least-mean-square adaptive filter, interpreted as a channel estimator is proposed and analyzed for direct-sequence spread-spectrum systems under frequency selective Rayleigh fading channels. Closed form expressions are derived for the filter tap weights and detection/false alarm probabilities. Compared to previously proposed systems, the proposed system achieves smaller mean acquisition times, is more robust to the operating signal-to-noise ratio and allows for multiplication free tap weight updates.

Performance Analysis of Multi-hop Wireless Networks under Different Hopping Strategies with Spatial Diversity

  • Han, Hu;Zhu, Hongbo;Zhu, Qi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.6 no.10
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    • pp.2548-2566
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    • 2012
  • This paper derives two main end-to-end performance metrics, namely the spatial capacity density and the average end-to-end delay of the multi-hop wireless ad hoc networks with multi-antenna communications. Based on the closed-form expressions of these performance metrics, three hopping strategies, i.e., the closest neighbor, the furthest neighbor and the randomly selected neighbor hopping strategies have been investigated. This formulation provides insights into the relations among node density, diversity gains, number of hops and some other network design parameters which jointly determine network performances, and a method of choosing the best hopping strategy which can be formulated from a network design perspective.

An Analytical Model for Deriving the 3-D Potentials and the Front and Back Gate Threshold Voltages of a Mesa-Isolated Small Geometry Fully Depleted SOI MOSFET

  • Lee, Jae Bin;Suh, Chung Ha
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.12 no.4
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    • pp.473-481
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    • 2012
  • For a mesa-isolated small geometry SOI MOSFET, the potentials in the silicon film, front, back, and side-wall oxide layers can be derived three-dimensionally. Using Taylor's series expansions of the trigonometric functions, the derived potentials are written in terms of the natural length that can be determined by using the derived formula. From the derived 3-D potentials, the minimum values of the front and the back surface potentials are derived and used to obtain the closed-form expressions for the front and back gate threshold voltages as functions of various device parameters and applied bias voltages. Obtained results can be found to explain the drain-induced threshold voltage roll-off and the narrow width effect of a fully depleted small geometry SOI MOSFET in a unified manner.

Impact of Outdated CSI on the Performance of Incremental Amplify-and-Forward Opportunistic Relaying

  • Zhou, Tsingsong;Gao, Qiang;Fei, Li
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.6
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    • pp.2567-2582
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    • 2016
  • This paper investigates the impact of outdated channel state information (CSI) on the performance of the incremental amplify-and-forward (AF) opportunistic relaying (OR) over dual-hop Rayleigh fading channels. According to the definition of distribution function, we obtain the cumulative distribution function (CDF) of the actual combined signal-to-noise ratio (SNR) received at the destination. Based on this CDF, the closed-form expressions of the average spectral efficiency and outage probability are derived for the incremental AF OR under outdated CSI. Numerical results show that in the low region of the average SNR of the direct link, outdated CSI deteriorates the system performance, whereas in the high region, outdated CSI has almost no impact on the system performance.

Temperature Dependent Breakdown Voltage and On-resistance of Si Power MOSFETs (실리콘 전력 MOSFET의 온도에 따른 항복전압 및 On 저항)

  • Park, Il-Yong;Choe, Yeon-Ik;Jeong, Sang-Gu
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.49 no.4
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    • pp.246-248
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    • 2000
  • Closed-form expressions for the temperature dependent breakdown voltage and the on-resistance of the Si power MOSFETs were derived by employing effective temperature dependent ionization coefficient for electrons and holes. The breakdown voltage increases by 20% and the on-resistance increases 2 times when the temperature increases from 300 K to 423 K. The analytic results normalized to the values at 300 K show good agreement with the experimental data of Motorola within 3.5% and 7% for the breakdown voltage and the on-resistance, respectively.

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Input Current Characteristics of a Three-Phase Diode Rectifier with Capacitive Filter Under Line Voltage Unbalance Condition

  • Jeong Seung-Gi;Lee Dong-Ki;Park Ki-Won
    • Proceedings of the KIPE Conference
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    • 2001.10a
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    • pp.808-815
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    • 2001
  • The three-phase diode rectifier with a capacitive filter is highly sensitive to line voltage unbalance, and may cause significantly unbalanced line currents even under slightly unbalanced voltage condition. This paper presents an analysis of this 'unbalance amplification' effect for an ideal rectifier circuit without ac-and dc-side inductors. The voltage unbalance is modeled by introducing a deviation voltage superimposed on balanced three-phase line voltages. With proper approximations, closed-form expressions for symmetrical components of the line current and current unbalance factor are derived in terms of the voltage unbalance factor, filter reactance, and load current. The validity of analytical predictions is confirmed by simulation.

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