Implementation and analysis of tunable fractional-order band-pass filter of order 2α

Abstract

This paper proposes a new design of a 2α-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 Ibias. 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.