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The parameter estimations are unstable when the determinant of the coefficient matrix of the normal equation is closed to 0 in least-squares estimation. The deviation of estimator is too great because of rounding error of calculator and it is hard to get the precise inverse of the coefficient matrix. A matrix function which is matrix power series was introduced in proposed method based on ridge estimation...
The multiple vector-valued wavelet packets are defined and investigated. A procedure for constructing the multiple vector-valued wavelet packets is presented. The properties of multiple vector-valued wavelet packets are discussed by using integral transformation and operator theory. Finally, new orthogonal bases of L2(R,CStimesS ) is constructed from the orthogonal multiple vector-valued wavelet packets.
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