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 t...
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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.
The two-dimensional (2-D) maximum Tsallis entropy method often gets ideal segmentation results, because it not only takes advantage of the spatial neighbor information with using the 2-D histogram of the image, but al...
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The two-dimensional (2-D) maximum Tsallis entropy method often gets ideal segmentation results, because it not only takes advantage of the spatial neighbor information with using the 2-D histogram of the image, but also has some flexibility with a parameter. However, its time-consuming computation is often an obstacle in real time application systems. In this paper, a fast image thresholding method based on chaos optimization and recursive algorithm for 2-D Tsallis entropy is presented. Firstly, improve the traditional chaos optimization algorithm(COA) so that it can get global solution with lower computation load, then propose a recursive algorithm with the stored matrix variables, finally combine the improved COA and the recursive algorithm to reduce much computational cost in the process of solving the 2-D maximum Tsallis entropy problem. Experimental results show the proposed approach can get better segmentation performance and has much faster speed.
Existing representative research achievement of attribute reduction mainly focused on two aspects. One is how to improve the efficiency of attribute reduction algorithms for all attributes including the added properti...
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Existing representative research achievement of attribute reduction mainly focused on two aspects. One is how to improve the efficiency of attribute reduction algorithms for all attributes including the added properties. Such as the recursive algorithm to change conjunctive normal form into disjunctive normal form based on the Boolean matrix and algorithm based on radix sorting for computing core and reductions of a given information system, etc. On the other hand focus on objects recursive algorithms. The drawback is that these methods have not fully use knowledge gained when some attributes was added to a discussion on domain. Therefore, in this paper, the regularity of core and reduction's changes under adding new attributes into a given information system were discussed. Moreover, the new incremental recursive reduction algorithms from an information system were proposed based on Granular computing. Experiments show that these algorithms can quickly and exactly calculate new core and reduction of new information system by taking advantage of knowledge of previous information system.
Focusing on the unconstrained circle cutting problem, a recursive algorithm which can generate four-block cutting pattern was presented. With the four-block cutting pattern, a sheet can be cut into four blocks. Each b...
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Focusing on the unconstrained circle cutting problem, a recursive algorithm which can generate four-block cutting pattern was presented. With the four-block cutting pattern, a sheet can be cut into four blocks. Each block contains strips of the same direction and length. In each strip more than one row of identical blanks can appear. The optimal arrangement of strips on each block was determined by the recursive algorithm. An implicit enumeration method was used to determine the combination of blocks in sheet to make the material usage reach its maximum. The experimental results show that, the algorithm is efficient in both the computation time and the material usage.
This paper investigates the problem of identifying errors-in-variables (EIV) models, where the both input and output measurements are corrupted by white noises, and addresses a new efficient recursive identification a...
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ISBN:
(纸本)9784907764678
This paper investigates the problem of identifying errors-in-variables (EIV) models, where the both input and output measurements are corrupted by white noises, and addresses a new efficient recursive identification algorithm. The identification problem of EIV models with unknown noise variances has been studied extensively and several methods have been proposed. To be further developed in terms of estimation accuracy, the bias compensated weighted least squares (BCWLS) method with only requirement of input noise variance estimate has been proposed by using the biased weighted least squares estimate. However, the recursive form for the standard least squares estimate cannot be applied to recursively compute the BCWLS estimate because the weight matrix is not diagonal. To recursively compute the BCWLS estimate, the recursive forms for the WLS estimate and the input noise variance estimate are derived when the biased WLS estimate is two-stage least squares type estimate. The results of a simulated example indicate that the proposed recursive algorithm provides good results.
作者：
Xu, LingDing, FengYang, ErfuJiangnan Univ
Key Lab Adv Proc Control Light Ind Sch Internet Things Engn Minist Educ Wuxi 214122 Jiangsu Peoples R China Univ Strathclyde
Dept Design Mfg & Engn Management Space Mechatron Syst Technol Lab Strathclyde Space Inst Glasgow G1 1XJ Lanark Scotland
The identification for process control systems is considered in this paper based on the impulse response signals from the discrete measurements. By taking advantage of impulse signals and through the model parameter d...
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The identification for process control systems is considered in this paper based on the impulse response signals from the discrete measurements. By taking advantage of impulse signals and through the model parameter decomposition, two dependent identification models are constructed and two identification sub-algorithms are presented based on the nonlinear gradient optimization. In terms of the associated items of the parameters to be estimated between two derived sub-algorithms, a separable recursive gradient parameter estimation method is proposed by designing an interactive and recursive estimation. The performance tests and the comparison experiments are carried out by the simulation examples.
recursive algorithm (RA) need a great number of storage space for continue operations (such as push) on stack, which easily causes stack overflow. In the paper, we present a novel recursive algorithm to solve this int...
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recursive algorithm (RA) need a great number of storage space for continue operations (such as push) on stack, which easily causes stack overflow. In the paper, we present a novel recursive algorithm to solve this intractability throw constructing recursive tree, which only restoring valuable data for decreasing the spatial complexity, and then traversing recursive tree. In this way, the problem of spatial complexity of recursive algorithm could be solved effectively, making recursive algorithm more practical in application.
A new simple approach to the design of digital algorithm for simultaneous reactive-power and frequency estimations of local system is presented. The algorithm is derived using the weighted-least-square method. During ...
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A new simple approach to the design of digital algorithm for simultaneous reactive-power and frequency estimations of local system is presented. The algorithm is derived using the weighted-least-square method. During the algorithm derivation, a pure sinusoidal voltage model was assumed. Cascade finite-impulse-response (FIR) comb digital filters are used to minimize the noise effect and to eliminate the presence of harmonics effect. The most important point of this paper is the mathematical model that transforms the problem of estimation into an overdetermined set of linear equations. The investigation was simplified because the total similarity to the state of the problem of the active-power and frequency estimations was noticed. The only difference is the adaptive phase shifter applied to the voltage signal. In addition, coefficient-sensitivity problems of the large-order FIR comb cascade structure are overridden by using a multirate (decimation) digital signal processing technique. Even more, by using antialiasing filters, the parameter estimation accuracy is improved. The effectiveness of the proposed techniques is demonstrated by both simulation and experimental results. The algorithm shows a very high level of robustness, as well as high measurement accuracy over a wide range of frequency changes.
We consider the problem of multiple knife-edge diffraction estimation that is a fundamental task in many wireless communication applications. So far, one of the most accurate methods for this problem is the Vogler one...
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We consider the problem of multiple knife-edge diffraction estimation that is a fundamental task in many wireless communication applications. So far, one of the most accurate methods for this problem is the Vogler one whose recursive implementation is efficient to reduce the high computational complexity of the direct one. However, in the original report, Vogler only presented the final result of the recursive algorithm without a rigorous mathematical proof, thus making the method difficult to understand and implement in practice. To tackle this shortcoming, we first analyze the mathematical structure of the problem and then present a formal proof of the result. To gain intuition of the proof and the key steps, we provide a simplified study case of four knife edges. The insight from our proposed analysis and proof can be used to obtain a comprehensive interpretation, initiate a practical implementation, and develop new efficient algorithms with similar structure.
Abstract:Two-dimensional material cutting is widely applied in manufacturing. With regard to the problem of unconstrained two-dimensional steel cutting-stock, this paper puts forward the -shaped pattern, and obtains t...
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ISBN:
(纸本)9781450395687
Abstract:Two-dimensional material cutting is widely applied in manufacturing. With regard to the problem of unconstrained two-dimensional steel cutting-stock, this paper puts forward the -shaped pattern, and obtains the optimal cutting method for each raw material by combining knapsack problem with recursive algorithm, and then establishes an integer programming model, and proceeds with cutting methods with minimized raw materials. Furthermore, through the combined use of recursion and enumeration, the cutting method with the minimum cuts and tool changes when the steel yield reaches the maximum is obtained, thereby greatly reducing labor costs. This research is of important significance for improving the utilization of raw materials as well as cost controlling for concerned businesses.
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