With a regular (not I2s) digital connection the processor clock will become a "slave" to the CD clock, or more precisely to that clock as reflected by the speed of the incoming digital information. In professional gear and a few high end products there is either a seperate clock synch connection or a cable which allows for that second connection (e.g. the Muse Model 8 and Model 296 combo). The pro stuff just uses a seperate "word-clock" connection.