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- W2033522680 abstract "<para xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> This paper presents conditions under which the sampling lattice for a filter bank can be replaced without loss of perfect reconstruction. This is the generalization of common knowledge that removing up/downsampling will not lose perfect reconstruction. The results provide a simple way of building oversampled filter banks. If the original filter banks are orthogonal, these oversampled banks construct tight frames of <formula formulatype=inline> <tex>$l_{2} (Z^{n})$</tex></formula> when iterated. As an example, a quincunx lattice is used to replace the rectangular one of the standard wavelet transform. This replacement leads to a tight frame that has a higher sampling in both time and frequency. The frame transform is nearly shift invariant and has intermediate scales. An application of the transform to image fusion is also presented. </para>" @default.
- W2033522680 created "2016-06-24" @default.
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- W2033522680 date "2007-11-01" @default.
- W2033522680 modified "2023-10-18" @default.
- W2033522680 title "A Simple Method to Build Oversampled Filter Banks and Tight Frames" @default.
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- W2033522680 doi "https://doi.org/10.1109/tip.2007.908077" @default.
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