Interpolated FIR Filters Based on the Cyclotomic Polynomials

Hisakazu Kikuchi, Yoshito Abe, H. Watanabe, Takeshi Yanagisawa · Institutional Repositories DataBase (IRDB) · 1987

Based on the cyclotomic polynomials, this paper describes a family of efficient and practical interpolators for interpolated FIR filters. The family can be applied to bandpass filters as well as lowpass/highpass filters without any multiplications. It also mitigates the inconvenience to select a practical interpolation factor, and gains a further saving in computational complexity required. Several examples are given to demonstrate the effectiveness for reducing the computational complexity required.

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