A biosensor system determines analyte concentration from an output signal generated from a light identifiable species or a redox reaction of the analyte. Such biosensor can for instance determine glucose concentration in blood. The biosensor system compensates at least 50% of the total error in the output signal with a primary function and may compensate a portion of the residual error with at least one residual function. A function based on segemented signal processing (SSP) may serve as the primary function first residual function or second residual function. Preferably when the SSP function serves as the first residual function the SSP function compensates at least 50% of the residual error remaining after primary compensation. Preferably when the SSP function serves as the second residual function the SSP function compensates at least 50% of the residual error remaining after primary and first residual compensation. The error compensation provided by the primary first residual and second residual functions may be adjusted with function weighing coefficients.