Systems and methods for generating a spurious signal cancellation signal, the system comprising two direct digital synthesizers (DDS). The first DDS provides phase tracking to correct for rounding errors. The second DDS outputs a frequency that is exactly equal to N/M*CLK, where N and M are values selected to set the output frequency equal to the frequency of a spurious signal to be cancelled, and CLK is a clock frequency used to clock the first and second DDS circuits.