A processing system that includes a charge integrator, a compensation unit, and a fine signal processing unit. The compensation unit detects when the output of the charge integrator is outside of a certain range related to the dynamic range of the charge integrator and adds or subtract charge from an input of the charge integrator in response. The compensation unit records a count of the number of times that charge is added or subtracted and produces a coarse sensing result from this count. The fine signal processing unit processes the output of the charge integrator after charge is added or removed. The compensation unit processes the coarse sensing result and adds the processed value to fine sensing result from the fine signal processing unit to obtain a final output value. This final output value is the same value as if a charge integrator with a larger dynamic range were used.