Patent ID: 7880658

Claim:
A method of linearizing and subsequently digitally interpolating a sinusoidal analog signal generated by a motion encoder, the sinusoidal analog signal having a first frequency, comprising: providing the analog signal to each of a plurality of comparators as inputs thereto; providing positive and negative reference voltages to opposite ends of a resistor string comprising a plurality of scaling and linearizing resistors arranged in series, each succeeding resistor in the resistor string being scaled differently in accordance with one of a sine, cosine, arc sine or arc cosine function, the resulting scaled and linearized voltages provided by the resistor string being provided as scaled and linearized input signals to corresponding ones of a plurality of comparators, each of the comparators receiving as inputs thereto the analog signal and a corresponding scaled and linearized input signal, and providing as outputs therefrom comparator outputs, and providing the comparator outputs to an analog-to-digital converter (“ADC”) and a processor to yield at least one digitally interpolated output signal therefrom, wherein each of the at least one interpolated output signals has a corresponding frequency that is an integer multiple of the first frequency, and outputs provided by the ADC to the processor are substantially linearized.