Optimal Design of Fractional Delay FIR Filters without Band-Limiting Assumption
Masaaki Nagahara, Yutaka Yamamoto · 2006
Fractional delay filters are those that are designed to de-lay the input signals by a fractional amount of the sampling time. Since the delay is fractional, the intersample behav-ior of original analog signals become crucial. While the conventional design bases itself on the assumption that the incoming analog signals are fully band-limited up to the Nyquist frequency, the present paper applies the modern sampled-data H ∞ optimization which aims at restoring the intersample behavior without the band-limiting assumption. It is shown that the optimal FIR filter design is reducible to a convex optimization described by a linear matrix inequality (LMI). A design example is shown to illustrate the advan-tage of the proposed method. 1.