A new variable digital filter design based on fractional delay

Sumit J. Darak, A. P. Vinod, Edmund M-K Lai · 2011

This paper presents a new method for the design of finite impulse response (FIR) filter that provides variable frequency responses. The proposed idea is to replace each unit delay operator in a fixed-coefficient FIR filter with the 2ndorder FIR fractional delay (FD) structure and the cutoff frequency, fcof the filter is changed by changing the FD value. The change in FD results in change in amplitude and length of an impulse response. This in turn changes fcand transition bandwidth (TBW) of an FIR filter. The mathematical relation between cut-off frequency, TBW and FD value D is derived. The design example shows that the proposed method provides very fine control over fc.

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