This paper proposes a new design of a $2\alpha$-order fractional-order band-pass filter with tunability feature. The proposed filter is approximated with the Continued Fraction Expansion and Matsuda second-order approximations. The realized filter transfer function is based on the Inverse Follow the Leader Feedback configuration, with Operational Transconductance Amplifiers as active elements. As a result, the order of the proposed filter can be adjusted by changing a single parameter, which is the bias current $I_{\mathit{bias}}$. A comparison with the previous works is performed, showing the advantage of the electronic tuning feature using one bias current value in the proposed filter. Sensitivity analysis is conducted to investigate the effect of circuit parameters variation, such as capacitance and gain factors. Stability analysis is performed by studying the poles’ location and movement versus the filter parameters. Besides, the effect of transistor mismatch is evaluated using Monte Carlo analysis. Matlab and Cadence software, with UMC technology of 0.13 μm CMOS, are used for verifying the proposed implementation.

本文提出了一种新的设计方案 $2\alpha$具有可调性功能的二阶分数阶带通滤波器。所提出的滤波器用连续分数展开式和松田二阶近似法近似。实现的滤波器传递函数基于反向跟随领导者反馈配置，其中运算跨导放大器为有源元件。结果，可以通过更改单个参数（即偏置电流）来调整建议的滤波器的阶数${\mathrm{一世}}_{\mathit{偏压}}$。与以前的工作进行了比较，显示了在建议的滤波器中使用一个偏置电流值的电子调谐功能的优势。进行灵敏度分析以研究电路参数变化（例如电容和增益因子）的影响。通过研究极点的位置和运动与滤波器参数的关系来进行稳定性分析。此外，使用蒙特卡洛分析评估晶体管失配的影响。使用具有0.13μmCMOS的UMC技术的Matlab和Cadence软件来验证所提出的实现。