Journal
IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume 54, Issue 6, Pages 2365-2367Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2006.871980
Keywords
bidirectional recursive filtering; boundary conditions; Gaussian smoothing
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Young and van Vliet have designed computationally efficient methods for approximating Gaussian-based convolutions by running a recursive infinite-impulse-response (1111) filter forward over the input signal, then running a second IIR filter backward over the first filter's output. To transition between the two filters, they use a suboptimal heuristic that produces significant amplitude and phase distortion for all points within about three standard deviations of the right-hand boundary. In this correspondence, a simple linear transition rule that eliminates this distortion is derived.
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