• 제목/요약/키워드: closed form expressions

검색결과 206건 처리시간 0.032초

Interference and noise analysis for hybrid FSO/RF-based 6G mobile backhaul

  • Soyinka Nath;Shree Prakash Singh;Sujata Sengar
    • ETRI Journal
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    • 제44권6호
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    • pp.966-976
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    • 2022
  • Optical wireless communication, or free space optics, is a promising solution for backhauls in sixth-generation mobile systems. However, the susceptibility of optical links to weather conditions has led to FSO links being furnished with radio frequency (RF) backups. These Hybrid FSO/RF systems provide enhanced link availability but lead to RF resource wastage. Cognitive radio technology, in contrast, is well known for its optimal use of RF resources and may be combined with an FSO link to create a Cognitive Hybrid FSO/RF system. This work uses such a system to analyze a configuration for a mobile backhaul in sixth-generation mobile systems. This configuration can seamlessly coexist with established large scale RF cellular networks. The performance of this configuration is analyzed with respect to outage probability and average bit error by considering the impact of optical channel turbulence, misalignment loss, RF interference, and noise. Mathematical closed-form expressions are verified by simulations.

On Cyclic Delay Diversity with Single Carrier OFDM Based Communication Network

  • A. Sathi Babu;M. Muni Chandrika;P. Sravani;M. Sindhu sowjanyarani;M. Dimpu Krishna
    • International Journal of Computer Science & Network Security
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    • 제24권2호
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    • pp.95-100
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    • 2024
  • Cyclic Delay Diversity (CDD) is a diversity scheme used in OFDM-based telecommunication systems, transforming spatial diversity into frequency diversity and thus avoiding intersymbol interference without entailing the receiver to be aware of the transmission strategy making the signal more reliable achieving full diversity gain in cooperative systems. Here the analyzation of the influence of CDD-SC scheme in Cognitive Radio Network (CRN) is done with the challenge of overcoming the complication called channel estimation along with overhead in CNR. More specifically, the closed-form expressions for outage probability and symbol error rate are divided under different frequencies among independent and identically distributed (i.i.d.) frequency selective fading channel model i.e., the signal is divided into different frequencies and transmitted among several narrow band channels of different characteristics. It is useful in the reduction of interference and crosstalk. The results reveal the diversity order of the proposed system to be mainly affected by the number of multipath components that are available in the CNR.

Capacity of Spectrum Sharing Cognitive Radio with MRC Diversity under Delay Quality-of-Service Constraints in Nakagami Fading Environments

  • Zhang, Ping;Xu, Ding;Feng, Zhiyong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제7권4호
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    • pp.632-650
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    • 2013
  • The paper considers a spectrum sharing cognitive radio (CR) network coexisting with a primary network under the average interference power constraint. In particular, the secondary user (SU) is assumed to carry delay-sensitive services and thus shall satisfy a given delay quality-of-service (QoS) constraint. The secondary receiver is also assumed to be equipped with multiple antennas to perform maximal ratio combining (MRC) to enhance SU performance. We investigate the effective capacity of the SU with MRC diversity under aforementioned constraints in Nakagami fading environments. Particularly, we derive the optimal power allocation to achieve the maximum effective capacity of the SU, and further derive the effective capacity in closed-form. In addition, we further obtain the closed-form expressions for the effective capacities under three widely used power and rate adaptive transmission schemes, namely, optimal simultaneous power and rate adaptation (opra), truncated channel inversion with fixed rate (tifr) and channel inversion with fixed rate without truncation (cifr). Numerical results supported by simulations are presented to consolidate our studies. The impacts on the effective capacity of various system parameters such as the number of antennas, the average interference power constraint and the delay QoS constraint are investigated in detail. It is shown that MRC diversity can significantly improve the effective capacity of the SU especially for cifr transmission scheme.

Zero-Forcing 기반의 BLAST 채널 용량 (Channel Capacity of BLAST based on the Zero-Forcing criterion)

  • 이흔철;김희진;이인규
    • 대한전자공학회논문지TC
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    • 제45권12호
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    • pp.34-41
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    • 2008
  • 본 논문에서는 신호 대 잡음 비의 관점에서 Zero-Forcing 기반의 BLAST(Bell Labs Layered Space-Time) 구조의 채널 capacity를 점근적으로 분석하고자 한다. MIMO 채널 capacity에 관한 새로운 관계를 소개하고, ZF에 기반한 간섭 무효화를 수행할 때 DBLAST(Diagonal BLAST)에 의해 MIMO 채널의 하한값에 이름을 증명한다. 채널 capacity의 확률 밀도 함수의 정확한 최종식을 분석하고, 각 계층의 채널 capacity의 점근적 현상에 기반한 점근적 ergodic capacity의 최종식을 BLAST에서 유도한다. 본 논문에서 다뤄진 분석에 의해 MIMO 채널의 capacity 현상에 대한 통찰할 수 있다. 모의 실험의 결과를 통해서, 본 논문에서 다뤄진 광범위한 안테나 배열 사이즈에 대한 분석의 타당성과 정확성을 보여주고자 한다.

BER of Rectangular QAM signals with MRC over Correlated Nakagami Fading Channels

  • Baek Kyung Hoon;Hyun Kwang Min;Yoon Dong Weon;Park Sang Kyu
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2004년도 학술대회지
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    • pp.653-657
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    • 2004
  • The average bit error rate (HER) performance of a Gray coded arbitrary rectangular quadrature amplitude modulation (AR-QAM) signal with maximal ratio combining (MRC) diversity in an arbitrarily correlated Nakagami-m fading channel is derived and analyzed. The derived two types of general solutions are a simple closed-form and an integral form, depending on the types of the values (integer and non-integer) of the fading parameter. Using the derived equations in this paper, we analyzed the HER performances numerically based on the practical base station antenna configuration. The results show that MRC reception is a very effective scheme so far even though the combined signals are not independent each other because of the correlation values. The antenna height and separation of the MRC system relate to the correlation coefficient value between antennas, and go a long way with the diversity advantage. In particular, it is needed to be determined the antenna height that is carefully do for the diversity advantage because the correlation coefficient and the antenna height gain are contrary to each other from the aspect of the system performance. The expressions presented here can offer a convenient way to evaluate the exact HER performance of an arbitrary rectangular QAM signal with MRC diversity reception for various cases of practical interest on a correlated Nakagami fading channel.

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Secrecy Performances of Multicast Underlay Cognitive Protocols with Partial Relay Selection and without Eavesdropper's Information

  • Duy, Tran Trung;Son, Pham Ngoc
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제9권11호
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    • pp.4623-4643
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    • 2015
  • This paper considers physical-layer security protocols in multicast cognitive radio (CR) networks. In particular, we propose dual-hop cooperative decode-and-forward (DF) and randomize-and-forward (RF) schemes using partial relay selection method to enhance secrecy performance for secondary networks. In the DF protocol, the secondary relay would use same codebook with the secondary source to forward the source's signals to the secondary destination. Hence, the secondary eavesdropper can employ either maximal-ratio combining (MRC) or selection combining (SC) to combine signals received from the source and the selected relay. In RF protocol, different codebooks are used by the source and the relay to forward the source message secretly. For each scheme, we derive exact and asymptotic closed-form expressions of secrecy outage probability (SOP), non-zero secrecy capacity probability (NzSCP) in both independent and identically distributed (i.i.d.) and independent but non-identically distributed (i.n.i.d.) networks. Moreover, we also give a unified formula in an integral form for average secrecy capacity (ASC). Finally, our derivations are then validated by Monte-Carlo simulations.

면외변형하의 이방성 띠판에 대한 동적계면균열 (Dynamic Interfacial Crack in Bonded Anisotropic Strip Under Out-of-Plane Deformation)

  • 박재완;최성렬
    • 대한기계학회논문집A
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    • 제25권6호
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    • pp.949-958
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    • 2001
  • A semi-infinite interfacial crack propagated with constant velocity in two bonded anisotropic strips under out-of-plane clamped displacements is analyzed. Using Fourier integral transform the problem is formulated and the Wiener-Hopf equation is derived. By solving this equation the asymptotic stress and displacement fields near the crack tip are obtained, where the results get more general expressions applicable not only to isotropic/orthotropic materials but also to the extent of the anisotropic material having one plane of elastic symmetry for the interfacial crack. The dynamic stress intensity factor is obtained as a closed form, which is decreased as the velocity of crack propagation increases. The critical velocity where the stress intensity factor comes to zero is obtained, which agrees with the lower value between the critical values of parallel crack merged in the material 1 and 2 adjacent to the interface. Using the near tip fields of stresses and displacements, the dynamic energy release rate is also obtained as a form of the stress intensiy factor.

토양수분확산계수 측정과 자동측정리이시메타를 이용한 토양수분계수 추정 (Soil Water Diffusivity and Soil Water Stress Coefficient Studies Using Weighting Lysimeter Data)

  • 오동식;제임스 에이야스;리차드 소페;엄기철
    • 한국토양비료학회지
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    • 제32권4호
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    • pp.344-356
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    • 1999
  • 토양수분 확산계수 추정을 위한 이론식(Mualem's principle)과 실측법(Hopmans' equation)을 제시하여 실험한 결과 실측치와 이론치의 상당한 근접을 보였으므로 Hopmans의 수치해석적 모형을 실측모형으로 재시하고자 한다. 작물계수 측정에 있어서는 생육시기에 따른 모형화보다는 생육온도에 따른 모형화가 함수 관계에 있어서 보다 더 유의성 있는 상관성을 보였다.

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On the Performance of All-optical Amplify-and-forward Relaying with a Backup Radio-frequency Link Over Strong Atmospheric Turbulence and Misalignment Fading

  • Altubaishi, Essam Saleh
    • Current Optics and Photonics
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    • 제5권2호
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    • pp.114-120
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    • 2021
  • Free-space optical (FSO) communication is considered to be a potential solution to congestion in the radio-frequency spectrum and last-mile-access bottleneck issues in future cellular communication networks, such as 5G and beyond. However, FSO link performance may degrade significantly due to irradiance fluctuations and random temporal fluctuations from atmospheric turbulence. Therefore, in this work the main objective is to reduce the effect of the atmospheric turbulence by considering a multihop FSO communication system with amplify-and-forward relaying supported by a radio-frequency (RF) link, which form a hybrid FSO/RF communication system. The FSO link is assumed to follow the gamma-gamma fading model, which represents strong turbulence. Also, the RF link is modeled by a Rayleigh distribution. The performance of the considered system, in terms of the outage probability and average bit-error rate (BER), is investigated and analyzed under various weather conditions and pointing errors. Furthermore, the effect of the number of employed relay nodes on the performance of the system is investigated. The results indicate that the considered system reduces outage probability and average BER significantly, especially for low channel quality. Finally, the closed-form expressions derived in this work are compared to the results of Monte Carlo simulations, for verification.

Analytical and numerical simulation on charging behavior of no-insulation REBCO pancake coil

  • Quach, Huu Luong;Kim, Ji Hyung;Chae, Yoon Seok;Moon, Jae Hyung;Ko, Jung Hyup;Kim, Hyung-Wook;Kim, Seog-Whan;Jo, Young-Sik;Kim, Ho Min
    • 한국초전도ㆍ저온공학회논문지
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    • 제20권4호
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    • pp.16-19
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    • 2018
  • This paper presents analytical and numerical simulation approaches on charging characteristics of no-insulation (NI) REBCO pancake coil by using the equivalent circuit model to estimate magnetic performance response in the coil. The analytical methods provide closed form or definite solution in the form of complete mathematical expressions but they are hard to solve the complex problems. Numerical methods have become popular with the development of the computing capabilities to solve the problems which are impossible or very hard to solve analytically. First of all, the equivalent circuit model are proposed to develop the simulation code for both analytical and numerical method. The charging test was performed under critical current to obtain magnetic field induced and terminal voltage through the radial as well as spiral current paths within the coil. To verify the validity of both proposed methods, the simulation results were compared and discussed with the experimental results.