On design of a novel class of selective CIC FIR filter functions with improved response

The Cascaded-Integrator-Comb (CIC) filter is a non-recursive (FIR) filter which is multiplier free, consisting only of two building blocks (simple integrator stage and simple comb filter stage) and has a linear phase. This paper summarizes some key points of classical CIC filters and proposes a novel class of CIC FIR filter functions. A novel class of CIC filter functions maintains simplicity of FIR filters by avoiding the multipliers, but shows excellent performances in term of insertion loss in stopband and selectivity with respect to conventional CIC filters. A set of simulations along with illustrative examples is conducted in order to compare the attenuation characteristics of the classical CIC filter functions and the proposed novel class of selective CIC FIR filter functions. For the same level of a constant group delay τ = 45.5 s, a classical CIC filter function has insertion loss of 166.3 dB, and designed novel filter function has a higher level of insertion loss 206.55 dB.