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|Title:||Initialization and inner product computations of wavelet transform by interpolatory subdivision scheme|
|Authors:||Wang, Y.-P. |
|Citation:||Wang, Y.-P., Qu, R. (1999). Initialization and inner product computations of wavelet transform by interpolatory subdivision scheme. IEEE Transactions on Signal Processing 47 (3) : 876-880. ScholarBank@NUS Repository. https://doi.org/10.1109/78.747795|
|Abstract:||The initialization of wavelet transforms and the inner product computations of wavelets with their derivatives are very important in many applications. In this correspondence, the interpolatory subdivision scheme (ISS) is proposed to solve these problems efficiently. We introduce a general procedure to compute the exact values of derivatives of the interpolatory fundamental function and then derive a fast recursive algorithm for the realization of the initialization and inner product evaluations. Error analysis of the algorithm and its comparison with other approaches are discussed. Numerical experiments demonstrate high performance of the algorithm. Index Terms - Interpolatory subdivision scheme, wavelet transform, wavelet-Galerkin algorithm. © 1999 IEEE.|
|Source Title:||IEEE Transactions on Signal Processing|
|Appears in Collections:||Staff Publications|
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