Even if there are no texts, you will still experience interference on a radio (or, for example, a PA system, near to the phone).
Let's suppose that somebody calls you. If the mobile phone system didn't know where you where, it would be necessary for the call to be routed to every mobile phone transmitter in the world, so that the one which you happened to be closest to could connect with your phone. Given that millions of calls to mobile phones are being made at any one time, the system would be unable to cope.
So your incoming call is only sent to the transmitters closest to you. In order for that to happen your phone periodically sends out a signal, declaring "I am here" to the nearest phone transmitters. A transmitter then sends back a signal saying "Thanks. Information received".
In order to conserve battery power, the "I am here" signal is initially sent at very low power but, if no reply is received from a transmitter (because your phone is in a poor reception area) the "I am here message" is repeated at increasingly higher power until an acknowledgement is received.
It's those "I am here" signals which your radio is picking up.
Chris