Design of variable fractional delay FIR filter using differentiator bank

In this paper, a new variable fractional delay filter design method using a differentiator bank is presented. First, the Taylor series expansion is used to transform the specification of a variable fractional delay filter into that of a differentiator bank. This transform makes the design problem of the fractional delay filter reduce to the design of differentiators with different orders. A simple window method is proposed to design the differentiator bank. Finally, design examples are demonstrated to illustrate the effectiveness of this new design approach.