In this paper we construct a family of divergence-free multiwavelets. The construction follows Lemari e's procedure. In the process we nd multiresolution analyses (MRA) related by diierentiation and integration to a family of biorthogonal MRAs constructed by Hardin and Marasovich. The multiscaling and multiwavelets constructed have symmetries and support properties which allow us to obtain bior...

Traditional Serial-Serial multiplier addresses the high data sampling rate. It is effectively considered as the entire partial product matrix with n data sampling cycle for n×n multiplication function instead of 2n cycles in the conventional multipliers. The existing Serial-Serial multiplier is the first bit serial structure. Newly developed serial-serial multiplier design is capable of process...

Biorthogonal multiwavelets are generated from refinable function vectors by using multiresolution analyses. To obtain a biorthogonal multiwavelet, we need to construct a pair of primal and dual masks, from which two refinable function vectors are obtained so that a multiresolution analysis is formed to derive a biorthogonal multiwavelet. It is well known that the order of vanishing moments of a...

Using refinement subdivision techniques, we construct smooth multiwavelet bases for L2(R) and L2([0,1]) which are in an appropriate sense dual to Alpert orthonormal multiwavelets. Our new multiwavelets allow one to easily give smooth reconstructions of a function purely from knowledge of its local moments. At the heart of our construction is the concept of moment-interpolating (MI) refinement s...

Smooth orthogonal and biorthogonal multiwavelets on the real line with their scaling function vectors being supported on [−1, 1] are of interest in constructing wavelet bases on the interval [0, 1] due to their simple structure. In this paper, we shall present a symmetric C orthogonal multiwavelet with multiplicity 4 such that its orthogonal scaling function vector is supported on [−1, 1], has ...

This article proposed an approach to construct high-order balanced M-band (M>2) orthogonal multiwavelets with symmetric property, and demonstrated the advantages of our constructed multiwavelet systems in digital elevation model (DEM) generalization application over some other wavelet systems. We studied the theories related to the key properties of M-band multiwavelets, such as orthogonality, ...

Optimizing the input covariance matrix of a MIMO system with partial channel-structure feedback is an important issue to fully exploit the channel capacity. Efficient design of the optimal input covariance matrix, however, remains unavailable although its eigenvector structure was clearly revealed. In this paper, we obtain an upper bound of the capacity by matrix operation and concavity of the ...