The present invention relates to a wireless communication system having improved PLL circuits in the RF transmitter and receiver sections. The PLL circuits in the wireless communication system according to the present invention include time constant controllable filters. A series circuit of capacitor and resistor detects turn-on of the power switch for the PLL circuits to generate an output signal to be applied to the filters, thereby controlling the time constant of the filters in the PLL circuits to a lower value than normal for a given time after power-on of the PLL circuits.