Authors: Yong Shan Liu, Wei Jie Gu

Abstract: The xoy and xoz planes are divided into nine areas in three-dimensional space respectively by the MBR (Minimum Bounding Rectangle), which are produced by the reference objects’ projection to their planes. The intersecting situations between the projection of target objects and the two of reference objects are expressed by two 3×3 matrices. Then, a directional relations matrix model based on double projections is put forward. A combinational reasoning method is proposed by using the computational performance of matrices based on this model. Moreover, a combinational reasoning experiment is given and the result matches the reality.

61

Authors: Jie Yang, Zhen Li Wang

Abstract: The convolutive blind source separation (BSS) problem has been received much more attentions in recent years. This paper investigates a convolutive BSS algorithm via employing the time-delayed second-order statistics information and exact diagonalization without any a priori knowledge on the mixtures. This decorrelated second-order statistics and its multi-sample delayed copies, which form two positive-definite symmetry matrices, are obtained from whitened mixtures. By using a set of transforms such as Cholesky decomposition and singular value decomposition (SVD) to these two matrices, a unitary matrix is obtained and utilized to diagonalize them exactly. It attributes the estimates of source signals to this matrix. The similarity between the estimated and original signals is quantified by calculating their correlation coefficients (CC). For the mixtures of speech and noise, ItakuraSaito distance (ISD) is applied to measure the intelligibility of estimated speech signals. Better performance of the investigated algorithm is demonstrated in experimental results compared with the previous algorithm.

367

Authors: Mao Lin Liang, Li Fang Dai

Abstract: In this paper, we investigate the solvability of matrix equations with -involutary symmetric matrix , the general solution of which is obtained when it is solvable. Meantime, the associated optimal approximation problem for some given matrix is also considered under some particular hypothesis.

799

Authors: Jia Sun, Yu Hou Wu, Nan Xiao

Abstract: Abstract. This paper investigates leveling control system of suspended access platform using an observer-based controller. Uncertain linear systems for leveling control are derived and represented in terms of a set of matrix inequalities. In the system, all state variables needn’t be measured; the perturbations of leveling control are assumed to be described by structural uncertainties. The stiff problem is avoided since the design procedure is independent of the small parameter. The control problem can be effectively solved by the proposed iterative linear matrix inequality approach. The convergence of the algorithms is also studied. Furthermore, a numerical example and simulation results are given to illustrate the effectiveness of proposed method.

1473

Authors: Chang He Yu, Jian Li Li

Abstract: As we all know, noise always exists in any actual signal processing systems; its strength largely determines the working performance of one signal processing algorithm. Once the noise power is higher, many classical algorithms will lose the ability of the solution. In this paper, we propose a novel robust uncorrelated noise filtering method for direction of arrival (doa) estimation at low signal-to-noise ratio (snr) in coherent environment. Under the assumption of uncorrelated noise the proposed method can remove the uncorrelated noise variances from an array covariance matrix effectively. The characteristics of signal coherency structures and the simulation results using the novel method are presented.

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