# Operator-Like Wavelets with Application to Functional Magnetic Resonance Imaging

@inproceedings{Khalidov2009OperatorLikeWW, title={Operator-Like Wavelets with Application to Functional Magnetic Resonance Imaging}, author={Ildar Khalidov}, year={2009} }

- Published 2009

We introduce a new class of wavelets that behave like a given differential operator L. Our construction is inspired by the derivative-like behavior of classical wavelets. Within our framework, the wavelet coefficients of a signal y are the samples of a smoothed version of L{y}. For a linear system characterized by an operator equation L{y} = x, the operator-like wavelet transform essentially deconvolves the system output y and extracts the “innovation” signal x. The main contributions of the… CONTINUE READING

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