An apparatus and method are provided for detecting a resonant frequency giving rise to an impedance peak in a power delivery network used to provide a supply voltage. The apparatus includes resonant frequency detection circuitry that comprises test frequency control circuitry and a loading circuit. The test frequency control circuitry is arranged to generate control signals to indicate a sequence of test frequencies. A loading circuit is controlled by the control signals and operates from the supply voltage. In particular, in response to each test frequency indicated by the control signals, the loading circuit draws a duty-cycled current load through the power delivery network at that test frequency. Operation of the loading circuit produces a measurable property whose value varies in dependence on the supply voltage, thus enabling the resonant frequency to be determined from a variation in the value of that measurable property.