A demodulator for use in a receiver converts a digital baseband signal into inbound digital symbols with reduced hardware complexity and reduced power consumption. The demodulator includes a lowpass filter operably coupled to filter the digital baseband signal to produce a filtered digital baseband signal, and an equalizer operating at a first sampling rate to equalize the frequency response of the digital baseband signal such that the receiver overall in-band frequency response approximates the frequency response of a square root raised cosine filter to produce an adjusted digital baseband signal. An interpolator receives the adjusted digital baseband signal at the first sampling rate and interpolates the adjusted digital baseband signal to produce an interpolated digital baseband signal at a second sampling rate, from which the inbound digital symbols can be generated.