General non-recursive coefficients calculation formula for sinc~N filter

摘要

A general non-recursive formula is proposed for calculating impulse response coefficients of sinc~N filter, which is made by N cascade-connected sinc filters with length of M. It is demonstrated that this formula is valid for all coefficients and suitable for general cases. Using it, different from other methods, each coefficient is independent to others and can be accessed directly due to its non-recursive characteristic.