• Title/Summary/Keyword: Closed Form

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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 Expressions for Capacity Bounds of MRT/MRC MIMO with Multiuser Diversity (다중사용자 다이버시티가 적용된 MRT/MRC MIMO의 Capacity Bound의 Closed-form 표현)

  • Lee, Myougn-Won;Mun, Cheol;Yook, Jong-Gwan
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.12A
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    • pp.1223-1228
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    • 2006
  • Closed-form expressions for capacity bounds of multiuser diversity combined with maximum ratio transmission (MRT) and maximum ratio combining (MRC) at each link are presented under the assumption of independent and quasi-static flat multiple-input multiple-output (MIMO) Rayleigh fading channels. The analysis results precisely agree with the numerical verification results and clearly show the impact of MRT/MRC on multiuser diversity.

A Closed-Form Solution of Linear Spectral Transformation for Robust Speech Recognition

  • Kim, Dong-Hyun;Yook, Dong-Suk
    • ETRI Journal
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    • v.31 no.4
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    • pp.454-456
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    • 2009
  • The maximum likelihood linear spectral transformation (ML-LST) using a numerical iteration method has been previously proposed for robust speech recognition. The numerical iteration method is not appropriate for real-time applications due to its computational complexity. In order to reduce the computational cost, the objective function of the ML-LST is approximated and a closed-form solution is proposed in this paper. It is shown experimentally that the proposed closed-form solution for the ML-LST can provide rapid speaker and environment adaptation for robust speech recognition.

A robust method for derivation of the new closed-form Green관s functions for microstrip structures and its application to a fast MoM (마이크로스트립 구조에 관한 새로운 closed-form 그린함수 유도를 위한 견실한 방법과 빠른 모멘트법으로의 응용)

  • Kim, Eui-Joong
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2002.11a
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    • pp.423-433
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    • 2002
  • A very fast method of moments(MoM) for the analysis of microstrip structure is considered based upon the use of rooftop basis and razor test functions in conjunction with a new closed-form Green's functions. The present method presents a robust approach to obtain the Green's functions which can be derived by use of only one set of approximation parameters independently of operating frequency range. Moreover, using the present MoM scheme, the MoM matrix elements can be analytically evaluated with few number of terms in comparison with the previous method. So, the computational efficiency can be improved significantly without loss of the precision. In order to check the validity of the present method, performance is demonstrated for the example of a coaxially-fed microstrip transmission line and the present results are compared with the previous results.

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Development of an AOA Location Method Using Self-tuning Weighted Least Square (자기동조 가중최소자승법을 이용한 AOA 측위 알고리즘 개발)

  • Lee, Sung-Ho;Kim, Dong-Hyouk;Roh, Gi-Hong;Park, Kyung-Soon;Sung, Tae-Kyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.7
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    • pp.683-687
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    • 2007
  • In last decades, several linearization methods for the AOA measurements have been proposed, for example, Gauss-Newton method and Closed-Form solution. Gauss-Newton method can achieve high accuracy, but the convergence of the iterative process is not always ensured if the initial guess is not accurate enough. Closed-Form solution provides a non-iterative solution and it is less computational. It does not suffer from convergence problem, but estimation error is somewhat larger. This paper proposes a Self-Tuning Weighted Least Square AOA algorithm that is a modified version of the conventional Closed-Form solution. In order to estimate the error covariance matrix as a weight, a two-step estimation technique is used. Simulation results show that the proposed method has smaller positioning error compared to the existing methods.

CLOSED-FORM SOLUTIONS OF AMERICAN PERPETUAL PUT OPTION UNDER A STRUCTURALLY CHANGING ASSET

  • Shin, Dong-Hoon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.15 no.2
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    • pp.151-160
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    • 2011
  • Typically, it is hard to find a closed form solution of option pricing formula under an asset governed by a change point process. In this paper we derive a closed-form solution of the valuation function for an American perpetual put option under an asset having a change point. Structural changes are formulated through a change-point process with a Markov chain. The modified smooth-fit technique is used to obtain the closed-form valuation function. We also guarantee the optimality of the solution via the proof of a corresponding verification theorem. Numerical examples are included to illustrate the results.

Development of an AOA Location Method Using Covariance Estimation

  • Lee, Sung-Ho;Roh, Gi-Hong;Sung, Tae-Kyung
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.485-489
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    • 2006
  • In last decades, several linearization methods for the AOA measurements have been proposed, for example, Gauss-Newton method and closed-form solution. Gauss-Newton method can achieve high accuracy, but the convergence of the iterative process is not always ensured if the initial guess is not accurate enough. Closed-form solution provides a non-iterative solution and it is less computational. It does not suffer from convergence problem, but estimation error is somewhat larger. This paper proposes a self-tuning weighted least square AOA algorithm that is a modified version of the conventional closed-form solution. In order to estimate the error covariance matrix as a weight, two-step estimation technique is used. Simulation results show that the proposed method has smaller positioning error compared to the existing methods.

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Derivation of Closed Form Channel Capacity Using Confluent Hypergeometric Function for Wireless MIMO (Wireless MIMO를 위한 Confluent Hypergeometric Function를 이용한 Closed Form Channel Capacity의 유도)

  • Kabir, S.M.Humayun;Pham, Van-Su;Mai, Linh;Yoon, Gi-Wan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.6
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    • pp.1082-1086
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    • 2008
  • Multiple-input multiple-output (MIMO) is an efficient technology to increase data rate in wireless networks due to bandwidth and power limitations. Data transmission rate between transmitter and receiver is determined by channel capacity. MIMO has an advantage of reliable communication over wireless channel because of utilizing the channel capacity properly. In this letter, we drive a new formula, closed form capacity formula, using confluent hypergeometric function.

Physics-based modelling for a closed form solution for flow angle estimation

  • Lerro, Angelo
    • Advances in aircraft and spacecraft science
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    • v.8 no.4
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    • pp.273-287
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    • 2021
  • Model-based, data-driven and physics-based approaches represent the state-of-the-art techniques to estimate the aircraft flow angles, angle-of-attack and angle-of-sideslip, in avionics. Thanks to sensor fusion techniques, a synthetic sensor is able to provide estimation of flow angles without any dedicated physical sensors. The work deals with a physics-based scheme derived from flight mechanic theory that leads to a nonlinear flow angle model. Even though several solvers can be adopted, nonlinear models can be replaced with less accurate but straightforward ones in practical applications. The present work proposes a linearisation to obtain the flow angles' closed form solution that is verified using a flight simulator. The main objective of the paper, in fact, is to analyse the estimation degradation using the proposed closed form solutions with respect to the nonlinear scheme. Moreover, flight conditions, where the proposed closed form solutions are not applicable, are identified.

Dynamics of multibody systems with analytical kinematics (해석적인 기구학을 이용한 다물체계의 동력학해석)

  • 이돈용;염영일;정완균
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.289-292
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    • 1994
  • In this paper, the equations of motion are constructed systematically for multibody systems containing closed kinematic loops. For the displacement analysis of the closed loops, we introduce a new mixed coordinates by adding to the reference coordinates, relative coordinates corresponding to the degrees of freedom of the system. The mixed coordinates makes easy derive the explicit closed form solution. The explicit functional relationship expressed in closed form is of great advantages in system dimension reduction and no need of an iterative scheme for the displacement analysis. This forms of equation are built up in the general purpose computer program for the kinematic and dynamic analysis of multiboty systems.

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