Methods and apparatus are provided for measuring a ratio of capacitances. The apparatus include a comparator including a comparator input, a comparator output, and a reference voltage; a first capacitive element including a first capacitance, a first electrode coupled to the comparator input, and a second electrode; a first biasing element coupled to the first electrode; a digitally-controlled voltage waveform generator for generating a varying waveform, the voltage waveform generator including a voltage waveform generator output coupled to the second electrode; a second capacitive element including a second capacitance and a third electrode coupled to the comparator input; and a controller coupled to the comparator output, the controller configured to control the digitally-controlled voltage waveform generator, wherein an output signal of the comparator is dependent on a ratio comprising the first capacitance and the second capacitance, and the first capacitive element and/or the second capacitive element has a variable capacitance.