Wavelets, multiwavelets and wavelet frames for periodic functions
نویسندگان
چکیده
Various results on constructing wavelets, multiwavelets and wavelet frames for periodic functions are reviewed. The orthonormal and Riesz bases as well as frames are constructed from sequences of subspaces called multiresolution analyses. These studies employ general frequency-based approaches facilitated by functions known as orthogonal splines and polyphase splines. While the focus is on the intrinsic nature of the periodic setup, the exposition highlights the main ideas developed in the evolution of wavelet theory, from wavelets to multiwavelets and then wavelet frames.
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