Methods and apparatus for optimizing the phase lock loop circuitry of sub-pixel clock generators for situations where frequent switching between different system printing speeds, and hence clock frequencies are required. An optimizing circuit is associated with a sub-pixel clock generator for clamping an input voltage to a voltage controlled oscillator controlling clock frequency between a desired range. The clamping circuitry comprises a comparator for detecting when the voltage has moved out of the desired range and then charges or discharges a loop filter circuit controlling the input voltage to the VCO to keep the input voltage within the desired range.