This paper proposes a resampler architecture which employs the filtering the input signal with a FIR filter whose coefficients depend on the phase of the interpolated sample relative to the input samples. The novelty of this architecture consists in generating the coefficients by using linear interpolation between a number of predefined coefficient sets for equidistant sub-sample phases. The proposed architecture is particularly efficient for multi-channel interpolation, since all channels are resampled simultaneously and the coefficients generation block can be shared. Only the interpolation FIR filter needs to be replicated for each channel.