An adaptive acoustic signal filter for a respiration monitoring system includes a filter stage and a cutoff frequency adapter. The filter stage applies a cutoff frequency to an input acoustic signal waveform containing respiration and heart sound components in a filtering operation to produce a filtered acoustic signal waveform from which heart sound components have been removed. The adapter then performs cutoff frequency optimization tests on the filtered signal waveform and determines from the tests whether adjustment of the cutoff frequency is indicated. These tests assess whether the filtering operation struck a proper balance between removing heart sound components and preserving respiration sound components in the filtered signal waveform. If adjustment of the cutoff frequency is indicated, the adapter adjusts the cutoff frequency and the adjusted cutoff frequency is provided to the filter stage for application in a next filtering operation performed on the input signal waveform.