Smooth Wavelet Tight Frames with Limited
نویسنده
چکیده
This paper considers the design of wavelet tight frames based on iterated oversampled lter banks. The greater design freedom available makes possible the construction of wavelets with a high degree of smoothness, in comparison with orthonormal wavelet bases. Grr obner bases are used to obtain the solutions to the nonlinear design equations. Following the dual-tree DWT of Kingsbury, one goal is to achieve near shift-invariance while keeping the redundancy-factor bounded by 2, instead of allowing it to grow as it does for the undecimated DWT (which is exactly shift-invariant). Like the dual-tree, the overcomplete DWT described in this paper is less shift-sensitive than an orthonormal wavelet basis.
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