A communication system is provided for transmitting a RF signal, which has a frequency band. The communication system comprises: a sigma delta modulator for modulating the RF signal into a broadband signal wherein the signal to noise ratio of the broadband signal is higher in the frequency band of the RF signal than outside the frequency band of the RF signal; an optical transmitter connected with the sigma delta modulator and with an optical fiber for transmitting the broadband signal over the optical fiber; a photo-detector configured for receiving the broadband signal from the optical fiber and converting it into an electrical signal; an output device and a matching circuit configured for power matching and/or noise matching of the photo-detector, at the frequency band of the RF signal, with the output device.