A complete framework for linear filtering of bivariate signals

7 Feb 2018 • Julien Flamant • Pierre Chainais • Nicolas Le Bihan

A complete framework for the linear time-invariant (LTI) filtering theory of bivariate signals is proposed based on a tailored quaternion Fourier transform. This framework features a direct description of LTI filters in terms of their eigenproperties enabling compact calculus and physically interpretable filtering relations in the frequency domain... (read more)

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