Dynamic range improvement of new leap-frog filter using numerical optimization

In this paper the dynamic-range optimization of a new class of low-pass active-RC filters, based on the leap-frog topology is presented, using the MATLAB Optimization Toolbox. The new structure is a simplified leap-frog structure with a reduced number of components, reduced complexity, and permitting a straightforward design procedure. It is most suitable for the nonbalanced-to-ground version of low-sensitivity filters. As an illustration of the efficiency of the proposed new leap-frog filter, a sensitivity analysis using Monte Carlo runs was performed on examples with Butterworth and Chebyshev 0.5dB pass-band ripple low-pass filters. A comparison with other common filters such as standard leap-frog filters and single-amplifier Biquads demonstrates the sensitivity improvement obtained with the new filters. In this paper we present a numerical method of optimizing these new filters for improved dynamic range.