Estimation of the Length and the Polynomial Order of Polynomial-based Filters
Résumé
In many signal processing applications it is beneficial to use polynomial-based interpolation filters for sampling rate conversion. Actual implementations of these filters can be performed effectively by using the Farrow structure or its modifications. In the literature, several design methods have been proposed. However, estimation formulae for the number of polynomial-segments defining the finite length of the underlying continuous-time filter impulse response and the order of polynomials have not been known. This contribution presents estimation formulae for the length and the polynomial order of polynomial-based filters for various types of requirements. The formulae presented here can save time in designing, since they provide good starting values of length and order for a given set of requirements.
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