Design of multiplierless elliptic narrowband IIR digital filter based on sensitivity analysis

In this paper, we present a technique for the design of narrowband multiplierless IIR filter based on sensitivity analysis. All the multiplication constants in the proposed filter structure are implemented with a small number of shift registers and adders. It is shown in the paper that by appropriated design of the elliptic minimal Q-factor (EMQF) prototyped transfer function, (n+1)/2 multiplication constants of highest sensitivity can be implemented without quantization. The quantization of the remaining (n-1)/2 less-sensitivity constants is performed using phase-tolerance scheme.