• Title/Summary/Keyword: closed form expressions

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Closed-form BER expressions for performance of Alamouti STC (Alamouti 공간시간부호의 성능분석을 위한 closed-form BER 표현)

  • Kong Hyung-Yun;Khuong Ho Van
    • The KIPS Transactions:PartC
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    • v.12C no.5 s.101
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    • pp.673-678
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    • 2005
  • Alamouti STC (Space-Time Code) is a part of the UMTS-WCDMA standard. However, up to the best of our knowledge no closed-form BER formula for this famous code exists. Evaluating its performance through simulations is time-consuming and therefore, there should be analytical BER graphs to serve as a reference which are derived in this paper for coherently BPSK-modulated data.

Closed-form solution of ECA target-tracking filter using position and velocity measurement

  • Sagong, Sung-Dae;Yoon, Yong-Ki;Hong, Sun-Mog
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.129-133
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    • 1994
  • Presented are closed-form expressions of the steady-state solution for the three-state exponentially correlated acceleration(ECA) target-tracking filter. The steady-state solution is derived based on Vaughan's approach for the case that the measurements of target position and velocity are available at discrete points in time. The solution for the ECA filter using only position measurements is obtained as a special case of the presented results.

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Closed-Form Solution of ECA Target-Tracking Filter using Position and Velocity Measurements

  • Yoon, Yong-Ki;Hong, Sun-Mog
    • Journal of Electrical Engineering and information Science
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    • v.2 no.4
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    • pp.23-27
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    • 1997
  • Presented are closed-form expressions of the three-state exponentially correlated acceleration (ECA) target-tracking filter. The steady-state solution is derived based on Vaughan's approach for the case that he measurements of target position and velocity are available at discrete point in time. The solution for ECA tracking filter using only position measurements and the solution for the constant acceleration (CA) tracking filter are obtained as a special case of the presented results.

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Closed-form for Bit Error Rate of MSK and OQPSK Systems with a Smart Antenna

  • Le Minh-Tuan;Pham Van-Su;Yoon Giwan
    • Journal of information and communication convergence engineering
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    • v.3 no.4
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    • pp.176-178
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    • 2005
  • This paper presents closed-form expressions for exact bit error rate of MSK and OQPSK systems employing an adaptive antenna array at base station to eliminate co-channel interference. The channels under consideration are AWGN and one-path flat Rayleigh fading with AWGN. Computer simulation is carried out to confirm the theoretical results.

Closed-Form Expressions for Selection Combining System Statistics over Correlated Generalized-K Fading Channels in the Presence of Interference

  • Nikolic, Bojana Z.;Stefanovic, Mihajlo C.;Panic, Stefan R.;Anastasov, Jelena A.;Milosevic, Borivoje
    • ETRI Journal
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    • v.33 no.3
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    • pp.320-325
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    • 2011
  • This paper considers the effects of simultaneous correlated multipath fading and shadowing on the performances of a signal-to-interference ratio (SIR)-based dual-branch selection combining (SC) diversity receiver. This analysis includes the presence of cochannel interference. A generalized fading/shadowing channel model in an interference-limited correlated fading environment is modeled by generalized-K distribution. Closed-form expressions are obtained for probability density function and cumulative distribution function of the SC output SIR, as well as for the outage probability. Based on this, the influence of various fading and shadowing parameter values and the correlation level on the outage probability is examined.

Capacity Bounds on the Ergodic Capacity of Distributed MIMO Systems over K Fading Channels

  • Li, XingWang;Wang, Junfeng;Li, Lihua;Cavalcante, Charles C.
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.7
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    • pp.2992-3009
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    • 2016
  • The performance of D-MIMO systems is not only affected by multipath fading but also from shadowing fading, as well as path loss. In this paper, we investigate the ergodic capacity of D-MIMO systems operating in non-correlated K fading (Rayleigh/Gamma) channels. With the aid of majorization and Minkowski theory, we derive analytical closed-form expressions of the upper and lower bounds on the ergodic capacity for D-MIMO systems over non-correlated K fading channels, which are quite general and applicable for arbitrary signal-to-noise ratio (SNR) and the number of transceiver antennas. To intuitively reveal the impacts of system and fading parameters on the ergodic capacity, we deduce asymptotic approximations in the high and low SNR regimes. Finally, we pursue the massive MIMO systems analysis for the lower bound and derive closed-form expressions when the number of antennas at BS grows large, and when the number of antennas at transceivers becomes large with a fixed and finite ratio. It is demonstrated that the proposed expressions on the ergodic capacity accurately match with the theoretical analysis.

The Closed-form Expressions of Magnetic Field Due to a Right Cylinder (원통형 이상체에 의한 자력 반응식)

  • Rim, Hyoungrea;Eom, Jooyoung
    • Geophysics and Geophysical Exploration
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    • v.23 no.1
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    • pp.50-54
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    • 2020
  • Herein, the closed-form expressions of the magnetic field due to an axially symmetric body such as a right cylinder, are derived. The magnetic field due to a right cylinder is converted from the gravity gradient tensor using Poisson's relation; the magnetic field induced by a constant magnetization can be obtained from the gravity gradient tensor with a constant density. Because of the axial symmetry of the cylinder, the expressions of gravity gradient tensor are derived in cylindrical coordinate and then transformed into Cartesian coordinates for the three components of the magnetic field using an arbitrary magnetization direction.

Closed-Form Time Domain Solutions for Multiconductor TEM Lines (TEM 다중 전송 선로에 대한 Closed-Form 형태의 시간 영역 해석)

  • Jeong, Jae-Hoon;Hong, Ic-Pyo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.18 no.6 s.121
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    • pp.680-688
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    • 2007
  • Time domain closed-form analytical solutions to the coupled telegrapher's equations for the voltage and current on a lossless multiconductor transmission line are presented. The resulting expressions are obtained in the form of exact time domain propagators operating on the line voltage and current. Time domain numerical methods are developed and examples showing exceptionally accurate results are obtained for uniform and nonuniform; symmetric and asymmetric strip lines.

Network function Characterizing the General n-Line 2n-Port coupled Transmission System (일반화한 n선로 결합 전송구조의 회로망 함수)

  • 진년강
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.3
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    • pp.84-90
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    • 1985
  • A general procedure for finding the immittances of a general, uniformly coupled, n-line structure in an inhomogeneous medium is Presented. The expressions derived in terms of the normal modes of the system are in a convenient matrix form and can be used to compute or to derive the explicit expressions for the elements of the In-port immittance matrix. As an example, the closed form expressions for the elements of the admittance matrix of a sym-metrical four-line eight-port structure are given.

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