An example two-way integrator includes a first current source, a second current source, a first offset current source, a second offset current source, a capacitor, a switching reference and a comparator. The capacitor integrates a sum of a first input current and a first offset current by charging with both the first current source and the first offset current source. The capacitor subsequently integrates a sum of the second input current and the second offset current by discharging with both the second current source and the second offset current source. The switching reference outputs a first reference voltage and a second reference voltage responsive to pulses of a pulse signal. The comparator is coupled to compare the switching reference with a voltage on the capacitor.