A rectifier generates a rectified output and a dc power output. The rectifier has an antenna element, a tuning capacitor, a coupling capacitor, first and second rectifying diodes, and a storage capacitor. The antenna element and the tuning capacitor are coupled in parallel and grounded at one terminal. The first rectifying diode is grounded at its anode terminal and the storage capacitor is grounded at one terminal. The coupling capacitor is coupled between the ungrounded terminal of the antenna element and the cathode terminal of the first rectifying diode. The anode terminal of the second rectifying diode is coupled to the cathode terminal of the first rectifying diode. The cathode terminal of the second rectifying diode is coupled to the ungrounded terminal of the storage capacitor. The rectified output is generated between the rectifying diodes. The dc power output is generated between the second rectifying diode and the storage capacitor.