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Fig. 2 | EURASIP Journal on Advances in Signal Processing

Fig. 2

From: High-order balanced M-band multiwavelet packet transform-based remote sensing image denoising

Fig. 2

The ideal frequency domain portioning patterns offered by different multiwavelet transforms with normalized highest frequency, taking M = 3 and k = 3 (k refers to a decomposition level) as an example. a For a 2-band multiwavelet transform, the ideal partition points are only in the set {1/2, 1/22, , 1/2k}. b For a 2-band multiwavelet packet transform, they are in the set {1/2k, 2/2k, , 2k − 1/2k}. c For an M-band multiwavelet transform, they are in the set \( {\displaystyle {\cup}_{i=1}^k\left\{1/{\mathrm{M}}^i,2/{\mathrm{M}}^i,\cdots, \mathrm{M}-1/{\mathrm{M}}^i\right\}} \). d For an M-band multiwavelet packet transform, they are extended to the set {1/Mk, 2/Mk, , Mk − 1/Mk}

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