A weighted averaging method for treating discontinuous spectral data
نویسنده
چکیده
We introduce a weighted averaging method for improving the inevitable error induced by theGibbs phenomenon appearing in a spectral approximation for a discontinuous function. In the result we have a family of filters generalizing the well known Fejer filter. In addition, for high resolution recovery, we propose an adaptive filter which is competitive with the existing exponentially convergent adaptive filter. Several numerical examples are included to show the applicability of the method presented. © 2012 Elsevier Ltd. All rights reserved.
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 25 شماره
صفحات -
تاریخ انتشار 2012