Differential log-domain filters with high-gain common-mode feedback

A new class of differential log-domain filters based on common-mode feedback (CMFB) is demonstrated. Conditions for adding CMFB to differential log-domain integrators while preserving external linearity are derived. Because signals within differential log-domain circuits are nonlinear, the definition of "common-mode" in these circuits is not unique. Three possible definitions are explored, and each is illustrated with a simple but practical circuit. The circuits provide large CMFB loop gain, which forces common-mode signals to follow a desired nonlinear function. This allows closed-form expressions for the nonlinear internal signals to be derived, which is highly advantageous for design. Second-order filters using CMFB were compared to filters without CMFB through simulation and through measurements of fabricated filters. Adding CMFB is shown to allow greatly increased undistorted signal swings.