Filter Functions with Exponential Convergence Order
نویسنده
چکیده
Oversampled functions can be evaluated using generalized sinc-series and filter functions connected with these series. A standard filter function is given by exp((ξ2 − 1)−1). We show that the Fourier transform of this filter posseses the convergence order O(exp(−√x)), improving an estimation given in [10]. Moreover, we define a family of filter functions with convergence order O(x · exp(−xσ)) with σ arbitrary close to 1.
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