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We propose a novel approach to the design of multidimensional nonseparable two-channel orthonormal filterbanks and wavelets, which has been a challenging problem. We perform spectral factorization of the multidimensional product filter by jointly optimizing the product filter and the associated low-pass filter using an iterative algorithm. Our example shows that the resulting filterbanks have negligible reconstruction error and hence can be treated as orthonormal filterbanks and wavelets in practice.
Date of Publication: Nov. 2000