A rectifier circuit configured with a conventional configuration using an operational amplifier and a diode by a thin film transistor over an insulating substrate cannot exhibit the performance of a rectifier circuit due to the low stability of operational amplifier and the low high-frequency characteristic. Therefore, the rectifier circuit requires to be configured by using an IC outside of the insulating substrate in order to rectify a high-frequency signal. According to the invention, an amplifier circuit and a waveform shaping circuit are configured with a thin film transistor and a non-rectified signal is switched by a signal thereof, so that a rectifier circuit with the excellent high-frequency characteristic can be realized.