1. A wireless system comprising: a digital-to-time converter (DTC) configured to receive one or more signals and a digital code, and generate a modulation signal for a wireless signal by controlling an offset of the one or more signals based on the digital code; a detector component configured to receive the modulation signal and detect nonlinearities of the DTC, and generate a measurement of one or more properties of a dynamic error associated with the nonlinearities; and a distortion correction component configured to generate one or more distortion data that reduces the nonlinearities of the DTC based on the measurement; wherein the detector comprises a time-to-digital converter (TDC) TDC comprising: a coarse tuning component configured to generate a coarse quantitating offset of a time delay or a phase offset of the one or more signals; and a fine tuning component, coupled to the coarse tuning component, configured to receive the coarse quantitating offset, and generate a fine quantitating offset of the time delay or the phase offset of the one or more signals based on the distortion data.