Abstract
A generalized structure that is capable of implementing power-law filters derived from 1st and 2nd-order mother filter functions is presented in this work. This is achieved thanks to the employment of Operational Transconductance Amplifiers (OTAs) as active elements, because of the electronic tuning capability of their transconductance parameter. Appropriate design examples are provided and the performance of the introduced structure is evaluated through simulation results using the Cadence Integrated Circuits (IC) design suite and Metal Oxide Semiconductor (MOS) transistors models available from the Austria Mikro Systeme (AMS) 0.35 μm Complementary Metal Oxide Semiconductor (CMOS) process.
Highlights
The replacement of the Laplacian operator by its fractional-order counterpart (i.e., s →where 0 < α < 1) has been broadly utilized for transposing integer-order transfer functions into the fractional-order domain [1]
Operational Transconductance Amplifiers (OTAs) have been employed as active elements for implementing the required integration stages in the Inverse Follow-the-Leader Feedback (IFLF) structure, which implements the integer-order rational transfer functions derived through the utilization of the SK curvefitting-based method
The performance of the proposed implementation of a generalized power-law filter will be evaluated in Cadence Integrated Circuits (IC) design suite, using the design kit provided by the Austria Mikro
Summary
The replacement of the Laplacian operator by its fractional-order counterpart The obtained functions have the form of rational integer-order transfer functions, which can be realized using multi-feedback structures, cascade connection, or sum of the intermediate filter functions This has been followed in [7], where the Sanathanan–Koerner (SK) least-square iterative method has been employed for performing the curve-fitting approximation of both magnitude and phase frequency responses and the derived integer-order rational transfer functions have been realized by an operational amplifier (op-amp)-based Follow-the-Leader Feedback (FLF) structure. OTAs have been employed as active elements for implementing the required integration stages in the Inverse Follow-the-Leader Feedback (IFLF) structure, which implements the integer-order rational transfer functions derived through the utilization of the SK curvefitting-based method.
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