多源觀測(cè)逆問題的多尺度分布式分層求解算法
The Multi-scale Distributed Algorithm for Solving Inverse Problem with Multiple Observation Sources
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摘要: 針對(duì)多源觀測(cè)逆問題求解時(shí)所需的計(jì)算量過大這問題,該文給出了多源觀測(cè)逆問題的一種多尺度分布式分層求解算法。其基本思想是:首先,對(duì)各傳感器上采集到的觀測(cè)數(shù)據(jù)分別進(jìn)行多尺度分解;其次,基于每個(gè)傳感器的觀測(cè)信息,得到目標(biāo)信號(hào)的小波變換系數(shù)的局部最優(yōu)估計(jì)值;然后,基于相對(duì)誤差協(xié)方差矩陣提供的信息,在每個(gè)尺度上將目標(biāo)信號(hào)的小波系數(shù)或最粗尺度系數(shù)的局部估計(jì)值進(jìn)行融合;最后,做小波逆變換,得到目標(biāo)信號(hào)基于全局信息的融合估計(jì)值。采用該算法求解多源觀測(cè)逆問題既能得到與采用集中式求解算法相當(dāng)?shù)墓烙?jì)效果,又能有效地降低求解所需的計(jì)算量,進(jìn)一步增強(qiáng)算法的可實(shí)施性。Abstract: In this paper, a multiscale distributed hierarchical algorithm is developed to solve the computational complexity in inverse problem with multiple observation sources.Firstly, algorithm implements wavelet transform respeetively on the object signal data obtained from multiple observation processes. Secondty, the wavelet transform coefficients are estimated about object signal using the data from each sensor. Thirdty,all local estimates are efficiently fused based on the information provided by relative error covariance matrix,in order to get a global-information-based estimate of the wavelet transform coefficients with the object signal. Fourthty,the inverse wavelet transform is performed on the scaling coefficients at the coarsest scale and the wavelet coefficients at all scales to obtain the global-information-based estimator. Finally, the performance of the algorithm is evaluated with respect to the RECM-based criterion. It is comcluded that the distributed hierarchical fusion algorithm can not only result in an estimator comparable to that of the method of using central fusion algorithm with relatively light computational load, but also enhance the practicability of new algorithm.
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Wen Chenglin, Zhang Yanfeng. The multiscale distributed hierarchical fusion algorithm for the solution of linear inverse problem. .[J].Proceeding of ICMLC.2003, Xian:2003-[6]文成林,周東華. 多尺度估計(jì)理論及應(yīng)用[M]. 北京: 清華大學(xué)出版社, 2002, 第2,6,8章.[7]周福娜. 多傳感器數(shù)據(jù)融合與線性逆問題的多尺度求解方法[D]. [碩士論文], 開封:河南大學(xué), 2004.6.[9]Zhang Zhong, Blum R S. A caterotiaztion of multiscale-decomposition-based image fusion schemes with a performance study for a digital camera application[J].Proc IEEE.1999, 87(8):1315- -
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