Design of polynomial-based filters using continuous-time Kaiser window

This paper introduces a generalized design method for polynomial-based interpolation filters and Farrow structure. In this approach, the ideal continuous-time (CT) impulse response is truncated by using CT Kaiser window function. The obtained windowed impulse response is then approximated using the piecewise Taylor polynomial approximation. Length of the impulse response and degree of the approximating polynomial can be arbitrarily selected, and in this way the transition band width can be controlled. The stopband attenuation can be controlled by selecting the value of parameter of Kaiser window.