A variable frequency signal synthesizer includes a phase locked loop including a time-to-digital converter configured to detect differences in phase and frequency between a reference signal and a feedback clock signal and output error signals corresponding to the detected differences, a digital loop filter, a digitally controlled oscillator, and a first frequency divider configured to divide output signals of the digitally controlled oscillator at a predetermined frequency division ratio, a feedback clock generation unit configured to generate sign signals and a phase-modulated feedback clock signal, and a frequency slope tracker configured to generate a frequency control signal by accumulating differences in the error signals according to signs corresponding to the sign signals. The digitally controlled oscillator receives the frequency control signal to supply an output variable frequency signal.