A system and method for generating a spread spectrum clock signal with a constant ppm offset as a function of a repetition number. A phase interpolator can be configured in association with of a phase-locked loop circuit in order to provide a phase movement from a bit clock generated by the PLL circuit. A repetition number divider computes the repetition number for each time slot in a piece-wise SSC modulation profile. A noise shaping modulator can be employed for modulating a fractional part associated with the repetition number. A repetition counter and a phase accumulator receives an integer part of the repetition number and counts unit interval clock periods equal to a sum of integer and the sigma-delta modulated fractional parts of the repetition number. The phase accumulator can be incremented and/or decremented based on the sign of the spread spectrum direction.