A circuit includes a voltage-controlled oscillator (VCO), which includes a voltage input node having an input voltage; and a start-up circuit. The start-up circuit includes a first current path and a second current path. The first current path has a first current and is configured so that the first current increases in response to a decrease in the input voltage and decreases in response to an increase in the input voltage. The second current path has a second current and is configured so that the second current decreases in response to the decrease in the input voltage and decreases in response to the increase in the input voltage. The VCO further includes a third current path combining a first proportion of the first current and a second proportion of the second current into a combined current; and a current-controlled oscillator (CCO) including an input receiving the combined current and outputting an AC signal.