Sequential Multidimensional Spectral Estimation

Details Sequential Multidimensional Spectral Estimation Sequential Multidimensional Spectral Estimation

2005-06-14

arxiv.org/abs/math/0506266v2

Mathematics

Spectral Theory

Scientific paper

By considering an empirical approximation, and a new class of operators that we will call walking operators, we construct, for any positive ND-toeplitz matrix, an infinite in all dimensions matrix, for which the inverse approximates the original matrix in its finite part. A recursive hierarchical algorithm is presented for sequential dimension spectral representation. A positive comparison in calculus cost, and numerical simulation, for 2D and 3D signals, is also presented.

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