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recursive algorithm Based Reliability Analysis of Multiphase Satellite Systems with Propagated Failures

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Journal of Donghua University(English Edition) 2015年第1期32卷 136-139页

作者：周行于乐彭伟彭卫文黄洪钟 School of Mechanic Electronic and Industrial EngineeringUniversity of Electronic Science and Technology of China

Modern satellite systems are generally designed to fulfill multiphase-missions. Component /subsystem redundancies are commonly used to achieve high reliability and long life of modern satellite systems. These characteristics have leaded to a critical issue of reliability analysis of satellites that is how to deal with the reliability analysis with multiphase-missions and propagated failures of redundant components. Traditional methods based on the binary decision diagram( BDD) can hardly cope with these issues efficiently. Accordingly, a recursive algorithm method was introduced to facilitate the reliability analysis of satellites. This method was specified for the analysis of static fault tree and it was implemented by generating combination of component failures and carrying out a backward recursive algorithm. The effectiveness of the proposed method was demonstrated through the reliability analysis of a multiphase satellite system with propagated *** major advantage of the proposed method is that it does not need composition of BDD and its computational process is automated.

关键词： satellite reliability recursive algorithm multiphase system(MPS) propagated failures reliability analysis

New recursive algorithm for matrix inversion

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Journal of Systems Engineering and Electronics 2008年第2期19卷 381-384页

作者： Cao Jianshu Wang Xuegang Coll. of Electronic Engineering Univ. of Electronic Science and Technology of China Chengdu 610054 P. R. China

To reduce the computational complexity of matrix inversion, which is the majority of processing in many practical applications, two numerically efficient recursive algorithms （called algorithms I and II, respectively） are presented. algorithm I is used to calculate the inverse of such a matrix, whose leading principal minors are all nonzero. algorithm II, whereby, the inverse of an arbitrary nonsingular matrix can be evaluated is derived via improving the algorithm I. The implementation, for algorithm II or I, involves matrix-vector multiplications and vector outer products. These operations are computationally fast and highly parallelizable. MATLAB simulations show that both recursive algorithms are valid.

关键词： recursive algorithm matrix inversion matrix-vector product leading principal minor (LPM).

A recursive algorithm AND ITS CONVERGENCE FOR PARAMETER ESTIMATION OF CONVOLUTION MODEL

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Acta Mathematica Scientia 2008年第1期28卷 93-100页

作者：胡必锦汪达成雷鸣 Institute of Information and Calculation Science Chongqing Jiaotong University

In this article, the problem on the estimation of the convolution model parameters is considered. The recursive algorithm for estimating model parameters is introduced from the orthogonal procedure of the data, the convergence of this algorithm is theoretically discussed, and a sufficient condition for the convergence criterion of the orthogonal procedure is given. According to this condition, the recursive algorithm is convergent to model wavelet A- = （1, α1,..., αq）.

关键词： Convolution model parameter estimation recursive algorithm norm of operators convergence

Performance of a recursive algorithm for polynomial predistorter design

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The Journal of China Universities of Posts and Telecommunications 2008年第3期15卷 95-99页

作者： XU Ling-jun WU Xiao-guang WANG Yong ZHANG Ping Key Laboratory of Universal Wireless Communications Ministry of Education Beijing University of Posts and Telecommunications Beijing 100876 China

In this article, based on least square estimation, a recursive algorithm for indirect learning structure predistorter is introduced. Simulation results show that of all polynomial predistorter nonlinear terms, higher-order （higher than 7th-order） nonlinear terms are so minor that they can be omitted in practical predistorter design. So, it is unnecessary to construct predistorter with higher-order polynomials, and the algorithm will always be stable. Further results show that even when 15th-order polynomial model is used, the algorithm is convergent after 10 iterations, and it can improve out-band spectrum of 20 MHz bandwidth signal by 64 dB, with a 1.2×10^11 matrix condition number.

关键词： digital predistortion recursive algorithm power amplifier linearization polynomial predistorter

REESSE Unified recursive algorithm for Solving Three Computational Problems

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Wuhan University Journal of Natural Sciences 2007年第1期12卷 172-176页

作者： SU Shenghui YANG Bingru School of Information Engineering University of Scienceand Technology Beijing Beijing 100083 China

Different from the extended Euclidean algorithm which can compute directly only the multiplicative inverse of an element in Zm^＊ and the greatest common divisor of two integers, a recursive algorithm called REESSE is designed by the authors, which can not only seek directly the multiplicative inverse and the greatest common divisor, but also solve directly a simple congruence for general solutions. This paper presents the definition and the two valuable properties of a simple congruence, analyzes in detail the reduction and recursion process of solving simple congruences, induces the recursive formula for solving simple congruences, and describes formally and implements in C language the recursive algorithm. At last, the paper compares REESSE with the extended Euclidean algorithm in thought, applicability and time complexity.

关键词： simple congruence recursive algorithm general solution multiplicative inverse greatest common divisor

Reflected-intensity distribution of angle-tuned thin film filter based on frequency recursive algorithm

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Frontiers of Optoelectronics 2013年第2期6卷 175-179页

作者： Kan YU Juanjuan YIN Jiaqi BAO Huazhong University of Science and Technology Wenhua College Wuhan 430074 China

For a three-port angle-tuned thin film filter, the characteristic of reflected-port is very important to reflect multiple wavelengths spectrum. As the filter is in tilted incidence, the reflected-facula broadens and the refiectivity decreases. In this paper, we proposed a frequency recursive algorithm based on fast Fourier transform and Fresnel formula. The reflected-intensity distribution of the narrow- band filter from normal incidence to 40~ tilted incidence was simulated by this frequency recursive algorithm. Meanwhile, the beam field experiments were accordingly performed in this study. Compared with the traditional beam spatial superposition method, the frequency recur- sive algorithm is more efficient and precise in calculating the reflectivity of the reflected beam, suggesting the frequency recursive algorithm may be more helpful for fabricating the three-port tunable thin film filter.

关键词： thin film filter recursive algorithm tilted incidence fast Fourier transform

A recursive algorithm for RMM and Its Application to Free Vibration of Multi-Span Continuous Rectangular Kirchhoff Plates

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A Recursive Algorithm for RMM and Its Application to Free Vi...

Create Multi-dimension Linked Lists on recursive algorithm and the Application

第二届全国压电和声波理论及器件技术研讨会

作者： Jun Zhu,Weiqiu Chen (Department of Civil Engineering,Zhejiang University,Hangzhou 310027,P.R.China)

A recursive algorithm based on the reverberation matrix method(RMM) is presented and used to exactly analyze the free vibration of multi-span continuous rectangular Kirchhoff plates with two opposite edges simply *** with the traditional RMM,this algorithm not only exhibits numerical stable in the high frequency range or/and for long span,also reduces the size for the data storage,especially for plates with many *** modifying the iterative formula,an improved recursive algorithm can be *** examples are given to demonstrate the effectiveness and efficiency of the proposed recursive *** method may be applied to calculate the dispersive characteristic of acoustic waves in laminated plate as well.

关键词： Free vibration Reverberation matrix method Continuous rectangular Kirchhoff plates recursive algorithm

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Create Multi-dimension Linked Lists on Recursive Algorithm a...

A recursive algorithm for Generating Four-block Cutting Pattern of Circular Blanks

第二十六届中国控制会议

作者： Chen Guangyi 1,He Zhaoyong 2 1.Automacation Dpartment,Foshan University,Foshan,528200,P.R.China2.South China University of Technology-College of Automatization science and engineering,Guany zhou,510640,P.R.China

Multi-dimension linked lists is a new data structure,which has powerful function and well visiting *** can be applied in scientifc computing analysis,image processing,database index and so *** the development of computer science,multi-dimension linked lists may be applied in other rectangular coordinate system’s spatial expression and multi-dimension linked lists recursive algorithm will give us very large *** the research of multi-dimension linked lists in this paper,it would be given out of the mathematical model and recursive algorithm of multi-dimension linked lists.

关键词： multi-dimension linked lists crunodes recursive algorithm data structures

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A Recursive Algorithm for Generating Four-block Cutting Patt...