An embodiment of an apparatus for estimating a parameter includes a multi-wavelength electromagnetic source configured to emit electromagnetic radiation beams having multiple wavelengths at a fixed angle relative to an interferometer, the multi-wavelength source having a stabilizer configured to lock each beam to one of a plurality of discrete wavelength ranges. The apparatus also includes the interferometer, which has a fixed reference reflector and a moveable reflecting assembly coupled to a moveable mass, the mass configured to move in response to the parameter. The apparatus further includes a detector configured to detect an interference pattern generated by the interferometer for each beam, and a processor configured to combine the interference patterns and estimate the parameter based on the combined interference pattern.