D-dimensional, fractional bandwidth signal processing apparatus

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3647241, G06F 1531

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active

054834740

ABSTRACT:
Filtering apparatus responsive to a sequence of samples of an input signal that is digitally-sampled at a given frequency, wherein the input signal defines information having at least one dimension. The apparatus includes first resampler for resampling the input-signal to derive a first signal at a first frequency which is substantially equal to the reciprocal 1/C of a given factor C times the given frequency, and second resampler for resampling the first signal to derive a second signal at a second frequency which is substantially equal to the given factor C times the first frequency. The given factor C is an improper fraction having a least-common-denominator larger than one. This filtering apparatus is particularly suitable for variably spatially low-pass, high-pass, band-pass or hierarchical-pyramid filtering two-dimensional image information in each of its two-dimensions by amounts which are independent of one another.

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Nussbaumer, "Pseudo QMF filter bank", IBM Tech. Discl. Bull., vol. 24, No. 6, Nov. 1981, pp. 3081-3087.

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