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Active filters with zero transfer function sensitivity with respect to the time constants of operational amplifiers

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3 Author(s)

Most second-order RC active filters show a marked dependence on the gain-bandwidth product (GB) of operational amplifiers (OA's) when the \omega _0 to be realized is greater than 1 percent of GB and Q > 10 . Here designs are given that are virtually independent of OA's when \omega _0< 0.01 GB and Q < 10 . Even for \omega _0=0.05 GB and Q=10 , the center frequency shift due to OA's is less than 0.1 percent. This desirable result is achieved by designing filter amplifiers which have zero first-order sensitivities with respect to the time constant \tau = 1/GB of the OA's used in the design. As a result, the filter transfer function has also zero first-order sensitivity with respect to \tau . General criteria for such designs are given. Experimental results show excellent agreement with theory.

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Circuits and Systems, IEEE Transactions on  (Volume:27 ,  Issue: 10 )