The Search for Extraterrestrial Intelligence (SETI) is an ongoing project that aims to detect radio signals originating from intelligent species somewhere in the universe. Recently Alberto Caballero, a SETI researcher has been proposing a distributed search (project pdf document) with amateur and/or professional radio telescopes. The idea is that multiple stations around the world would monitor a single star for a period of time in order to collect data 24/7. To participate the requirements are a dish 2.1 meters or larger, a motorized mount, and a feed, LNA and radio system able to receive 1 - 4.5 GHz.
An example of a SETI station can be found at SETI Net. Here the owner has a 3M dish on a rotor connected to a HackRF. An LNA and band pass filter are also used at the feed end. SDR Console or SDR# is used to monitor a specific frequency, and the audio is sent into a special automatic SETI analysis program as well as spectrum analysis software. If an interesting signal is detected the software notifies the user, then further analysis can be undertaken.
If you have a suitable radio telescope available and want to participate, you can contact the SETI project via their contact form.