[LAD] resampling with sp/dif

Hello, i want to grab some external sources (cdplayer) with jack. i run a jack instance with 48000 Hz and it works perfectly with my cd player and ardour. but if i take a cheaper cdplayer, the signal will only be came in with 44100, because there seems no resample and sync between the master (soundcard) and slave (cheapoCD) . so, the signal will always being played to slow. i found a workaround with a small external box, which resamples the incoming signal before it get into the soundcard. Since a while, i think about a software solution, which puzzles me a bit. if i doing the process without the external resampler, what must be done with the signal. If the original source is 44100 Hz, the incoming signal is 48000 (because of jack). if i try to resample it, the current buffer get shorter, because the signal need to be decreased. How can a correct resampling process be done? Thanks c~