That system uses an LNB, Airspy, an FFT application and then a Webserver.
The hardware configuration is described here: https://wiki.batc.org.uk/Es%27hail-2_Gr ... #RF_System
The fft software is here: https://github.com/BritishAmateurTelevi ... fft-airspy
and the config for the web server is here: https://github.com/BritishAmateurTelevi ... il-ghy-web. The web server is a Linux box running nginx.
Alternatively, you could simply use an SDR application such as SDR Sharp with an Airspy.