Algebraic design of discrete multiwavelet transforms
نویسندگان
چکیده
An algebraic approach to the design of different binds of discrete wavelet transforma (orthogonal and biorthogonal single-/multiwavelet transforms, multiwavelet-like transforma) is taken. The different transfomrs are anaL ysed with respect to computational efforts, approzimation properties and symmetry. The design of the orthogonal and biorthogonal single-/multiwavelets requires the solution of a system of linear and nonlinear equations. Only the biorthogonal c u e enables symmetric coeficients. The basis mat& of the multiwavelet-like transform is easy to compute, orthogonal and ultimately symmetric. Modifications of this multiwavelet-like transform are given with respect t o practical applications.
منابع مشابه
Design of Prefilters for Discrete Multiwavelet Transforms - Signal Processing, IEEE Transactions on
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