Dynamic range comparison of voltage-mode and current-mode state-space Gm-C biquad filters in reciprocal structures

摘要

This paper is concerned with a dynamic range (DR) comparison of reciprocal state-space Gm-C biquad filters based on adjoint transformation. A detailed analytical description of general Gm-C filters (i.e., containing both grounded and floating capacitances) of arbitrary order is derived and discussed. In particular, we investigate the relationships between the state matrices of voltage- and current-mode filters. Based on the earlier results of Groenewold (1991), the general DR formulas for both types of the state-space Gm-C filters are given. Finally, a DR comparison of selected second-order Gm-C filters of both modes as well as verification of the theoretical results based on the SPICE simulations is performed.