Analytical approximations of fractional delays: Lagrange interpolators and allpass filters
نویسندگان
چکیده
We propose in this paper a new point of view which uni es two well known lter families for approximating ideal fractional delay lters: Lagrange Interpolator Filters (LIF) and Thiran Allpass Filters. We achieve this uni cation by approximating the ideal Fourier transform of the fractional delay according to two di erent Pad e approximations: series expansions and continued fraction expansions, and by proving that both approximations correspond exactly either to the LIF family or to the allpass delay lters family. This leads to an e cient modular implementation of LIFs.
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