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Additional resources for 2nd Tactical Air Force, Vol. 2: Breakout to Bodenplatte, July 1944 to January 1945
MFPattern algorithm put forward in this paper will use undirected sample relation weight graph (sample weighted graph for short, the same below) to mine frequent closed resource patterns. Definition 1 Sample weighted graph can be expressed with set G ¼ fE; V; Wg. Each vertex in vertex set V in the weighted graph represents a sampling site; if an edge exists between a pair of vertexes, it means that there are resources with effectiveness relationship under two sampling sites represented by this pair of vertexes.
3 Modified Algorithm Suppose the snapshots matrix is XðkÞ, in the modified MUSIC algorithm [3, 4], YðkÞ ¼ JM X Ã ðkÞ, where X Ã ðkÞ is conjugate of XðkÞ. Suppose J is a M Â M replaced matrix in which all elements are zeros except counter diagonal elements are ones. So, JM Á JM ¼ IM , in which I is the identity matrix. We can get the correlation matrix of YðkÞ as following: Ryy ¼ E½YðkÞY H ðkÞ ¼ JM RÃxx JM : Taking the average of covariance matrix Rxx and Ryy , we can obtain the matrix R, that is, R ¼ ðRXX þ RYY Þ=2 ¼ ðRXX þ JM RÃxx JM Þ=2: For coherent sources, the new matrix usually has full rank, solving the problem of matrix rank loss, so as to achieve the purpose of de-correlation.
Zhai Á G. Wang School of Computer Science and Engineering, Northwestern Polytechnical University, YouYiXiLu 127, Xi’an 710072, China L. Zhang Á M. Wang (&) Á G. com M. Wang Á Q. Gu Á G. Wang China National Aeronautical Radio Electronics Research Institute, Guiping Road 432, Shanghai 200233, China J. 1007/978-3-642-54233-6_4, Ó Springer-Verlag Berlin Heidelberg 2014 31 32 L. Zhang et al. 1 Introduction Resources are the physical support of system. The effectiveness of resources will directly influence the effectiveness of the system.