• Title/Summary/Keyword: closed form expressions

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Unsaturated Throughput Analysis of IEEE 802.11 DCF under Imperfect Channel Sensing

  • Shin, Soo-Young
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.6 no.4
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    • pp.989-1005
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    • 2012
  • In this paper, throughput of IEEE 802.11 carrier-sense multiple access (CSMA) with collision-avoidance (CA) protocols in non-saturated traffic conditions is presented taking into account the impact of imperfect channel sensing. The imperfect channel sensing includes both missed-detection and false alarm and their impact on the utilization of IEEE 802.11 analyzed and expressed as a closed form. To include the imperfect channel sensing at the physical layer, we modified the state transition probabilities of well-known two state Markov process model. Simulation results closely match the theoretical expressions confirming the effectiveness of the proposed model. Based on both theoretical and simulated results, the choice of the best probability detection while maintaining probability of false alarm is less than 0.5 is a key factor for maximizing utilization of IEEE 802.11.

A Study on the Normalized Analysis of Sensitivity Optimization of Evanescent-Field, Integrated-Optic Biosensor based on Planar Optical Waveguide (평면 광도파로 기반의 소산파 집적광학 바이오센서의 감지도 최적화에 관한 정규화 해석에 관한 연구)

  • Jung, Hongsik
    • Journal of Sensor Science and Technology
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    • v.27 no.1
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    • pp.25-30
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    • 2018
  • Closed-form analytical expressions and 3-dimensional normalized charts for the homogeneous sensing and surface sensing structures are derived to provide the conditions for the maximum sensitivity of integrated-optic biosensors based on evanescent-wave and stepindex planar optical waveguides. The analysis is made for transverse electric (TE) polarization mode, in both cases where the measurand is homogeneously distributed in the cover (namely, homogeneous sensing), and where it is an ultrathin film on the waveguide-cover interface (namely, surface sensing).

Joint TAS and Power Allocation for IHDAF Relaying M2M Cooperative Networks

  • Xu, Lingwei;Zhang, Hao;Gulliver, T. Aaron
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.5
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    • pp.1957-1975
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    • 2016
  • The outage probability (OP) performance of multiple-relay-based incremental hybrid decode-amplify-forward (IHDAF) relaying mobile-to-mobile (M2M) networks with transmit antenna selection (TAS) over N-Nakagami fading channels is investigated in this paper. The closed-form expressions for approximate OP of the optimal and suboptimal TAS schemes are derived. The power allocation problem is formulated for performance optimization. Then the OP performance under different conditions is evaluated through numerical simulations to verify the analysis. The simulation results showed that optimal TAS scheme has a better OP performance than suboptimal TAS scheme; the power-allocation parameter has an important influence on the OP performance.

BER Analysis of Coherent Free-Space Optical Systems with Pulsed Noise Jamming (코히런트 무선 광통신 시스템에서 펄스 재밍으로 인한 비트오류율 분석)

  • Park, Hwi-Sung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.3
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    • pp.304-306
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    • 2016
  • In this letter, we investigate the performance of coherent free-space optical(FSO) systems under pulsed noise jamming conditions. In particular, we derive the average bit error probability of the coherent FSO systems with the pulsed noise jamming in a closed-form. Also, we derive the optimal fraction of symbol time of the jammer. We confirm the derived average error probability expressions by the exactly matching Monte-Carlo simulation results.

Performance Analysis of Hybrid Decode-Amplify-Forward Incremental Relaying Cooperative Diversity Protocol Using SNR-Based Relay Selection

  • Tran, Trung Duy;Kong, Hyung-Yun
    • Journal of Communications and Networks
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    • v.14 no.6
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    • pp.703-709
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    • 2012
  • In this paper, we propose a hybrid decode-amplify-forward incremental cooperative diversity protocol using SNR-based relay selection. In the proposed protocol, whenever destination unsuccessfully receives the source's signal, one of relays that exploit hybrid decode-amplify-forward technique is chosen to retransmit the signal. We derive approximate closed-form expressions of outage probability and average channel capacity. Monte-Carlo simulations are presented to verify the theoretical results and compare the performance of the proposed protocol with the direct transmission protocol and conventional incremental relaying protocols.

Moving load response on the stresses produced in an irregular microstretch substrate

  • Kaur, Tanupreet;Sharma, Satish Kumar;Singh, Abhishek Kumar;Chaki, Mriganka Shekhar
    • Structural Engineering and Mechanics
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    • v.60 no.2
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    • pp.175-191
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    • 2016
  • The present article is aimed at an investigation of stresses produced in a microstretch elastic half-space due to a moving load. The expressions of normal stress, shear stress and tangential couple stress produced in this case have been obtained in closed form. To find the displacement fields the perturbation method is applied. Significant effect of moving load on variation of stresses developed at different depths below the surface due to the depth of substrate and frictional coefficient of the rough surface of the medium has been observed. The effects of different shapes of irregularity and depth of irregularity on normal, shear and tangential couple stresses have been discussed. Some particular cases have also been deduced from the present investigation. Finally, the analytical developments have been illustrated numerically for aluminium-epoxy-like material substrate under the action of moving load.

Free Vibration of Primary-Secondary Structures with Multiple Connections (다중 지지된 주-부 구조물의 자유 진동)

  • 민경원
    • Computational Structural Engineering
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    • v.4 no.4
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    • pp.97-106
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    • 1991
  • The frequency window method has been extended to include strong coupling and multiple connections between the primary structure and the secondary structures. The rational polynomial expansion of the eigenvalue problem and the analytical methods for its solution are novel and distinguish this work from other eigenvalue analysis methods. The key results are the identification of parameters which quantify the resonance and coupling characteristics; the derivation of analytical closed-form expressions describing the fundamental modal properties in the frequency windows; and the development of an iterative procedure which yields accurate convergent results for strongly-coupled primary-secondary structures.

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Performance Analysis of a Two-Hop Fixed-Gain MIMO Multiuser Relay Network with End-to-End Antenna Selection

  • Li, Guangping;Blostein, Steven David;Zhang, Guangchi;Feng, Jiuchao
    • ETRI Journal
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    • v.34 no.2
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    • pp.264-267
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    • 2012
  • This letter analyzes the performance of a two-hop MIMO multiuser relay network with a fixed gain amplify-and-forward protocol and antenna selection at the transmitter and receiver. A new expression for the cumulative distribution function of the highest instantaneous end-to-end signal-to-noise ratio is derived. Based on the above result, closed-form expressions for outage probability and bit error rate are presented. Also, the diversity order of the system is determined. Finally, computer simulations are compared to the analytical results, and insights and observations are provided.

Prediction of Gain Expansion and Intermodulation Performance of Nonlinear Amplifiers

  • Abuelma'atti, Muhammad Taher
    • ETRI Journal
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    • v.29 no.1
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    • pp.89-94
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    • 2007
  • A mathematical model for the input-output characteristic of an amplifier exhibiting gain expansion and weak and strong nonlinearities is presented. The model, basically a Fourier-series function, can yield closed-form series expressions for the amplitudes of the output components resulting from multisinusoidal input signals to the amplifier. The special case of an equal-amplitude two-tone input signal is considered in detail. The results show that unless the input signal can drive the amplifier into its nonlinear region, no gain expansion or minimum intermodulation performance can be achieved. For sufficiently large input amplitudes that can drive the amplifier into its nonlinear region, gain expansion and minimum intermodulation performance can be achieved. The input amplitudes at which these phenomena are observed are strongly dependent on the amplifier characteristics.

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Derivation of Zeros from Externally-loaded Feed-forward Element of Filter Network

  • Um, Keehong;Yoo, Sooyeup;Pinthong, Chairat
    • International Journal of Internet, Broadcasting and Communication
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    • v.6 no.1
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    • pp.9-12
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    • 2014
  • We present a mathematical method for calculation of transmission zero locations, determining a filtering characteristics of two-port systems. By adjusting element values based on the zero locations, the frequency-selectivity is characterized. The characteristic polynomial of ladder networks in externally-loaded feed-forward systems is considered by adopting chain matrices for subsystems. This method can be extended to other types of lumped systems with cross-coupled sections. We find out the zeros by solving characteristics polynomials of closed-form expressions in terms of Laplace impedances of elements. The pairs of complex zeros are shown to be solely from the cross-coupled portion of the system.