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Unscented Transformation based array interpolation

2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2015
It is impossible to enforce exact responses for each sensor involved in an antenna array. Important signal processing techniques such as Estimation of Signal Parameters via Rotational Invariance (ESPRIT), Forward Backward Average (FBA) and Spatial Smoothing (SPS) rely on sensor arrays with Vandermonde or centro-hermitian responses.
Marinho, Marco A. M.   +3 more
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Nonlinear Pyramid Transforms Based on Median-Interpolation

SIAM Journal on Mathematical Analysis, 2000
Summary: We introduce a nonlinear refinement subdivision scheme based on median-inter-polation. The scheme constructs a polynomial interpolating adjacent block medians of an underlying object. The interpolating polynomial is then used to impute block medians at the next finer triadic scale.
Donoho, David L., Yu, Thomas P.-Y.
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Robust nonlinear wavelet transform based on median-interpolation

Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136), 2002
It is well known that wavelet transforms can be derived from stationary linear refinement subdivision schemes. We discuss a special nonlinear refinement subdivision scheme-median-interpolation. It is a nonlinear cousin of Deslauriers-Dubuc (1992) interpolation and of average-interpolation.
D.L. Donoho, T.P.Y. Yu
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