A frequency detection circuit includes a filter, a power detector and a voltage comparator. The filter receives and filters a converted signal to generate a filtered signal. The power of the filtered signal relates to a frequency of the converted signal. The power detector generates a voltage according to the power of the filtered signal. The voltage comparator compares the voltage with multiple reference voltages to generate multiple comparison results. At least one of the inductance and capacitance of an LC tank in an amplifier is adjusted according to the comparison results.