An apparatus for efficient computation of a demodulation process on a digital signal processor for a sampled signal, which includes programming a digital signal processor to apply the sampled signal to an interpolating filter to add interpolation samples to the sampled signal, to search the sampled signal for a threshold crossing associated with a start bit, performing a linear interpolation to find a point where the threshold crossing occurs when a threshold crossing is detected, responsive to determining the point of the threshold crossing, determining a center of a start bit when the point of the threshold crossing has been determined, calculating a supplemental delay, and determining center points for subsequent of data bits utilizing the supplemental delay period from the center of the start bit.