A phase shift phase locked loop (PSPLL) are described. The phase shift PLL includes a PLL and a phase adjusting circuit coupled to the inputs of the PLL. The phase adjusting circuit has a first input, a first output, a second input, a third input, and a second output. The first output and the second output are coupled to a first input and a second input of the PLL, respectively. The second input of the phase adjusting circuit receives a feedback signal and the third input of the phase adjusting circuit receives a control signal. The phase adjusting circuit receives a reference signal and sends a first output signal and a second output signal based on the reference signal to the PLL to adjust a phase of an output signal of the PLL in an increment less than a time period of the output signal of the PLL.