Again, I worked on this stuff in the past. As the previous poster mentioned if you fire up a cell phone 2 inches from a glass plate display sure you'll freak it slightly. It might even be unusable. But from the cabin... no... Chances are not high.
Did you ever wonder why airlines want your ipod turned off the first 10 and last 10 of every flight? No it's not "radio soup" as was posted in another thread... Sure the airplane is in a more radio intense environment but the ipod is almost unmeasureable... how could it interfere? It can't. Simply put the airline wants your COMPLETE attention in the event of an emergency which is 15 times more likely to happen in the first and last 10 minutes of every flight.
My point, simply from experience is that all aircraft radio gear, digital and analog have to go through many tests to be certified for use in an aircraft. Heat, vibration, etc. Our shop extended these tests to include RF interference. In my experience the likely hood of a cell phone, from the cabin, causing difficulties with the comm/nav equipment of the A/C is low.
Perhaps if someone had one of the really old 10 watt mobile phone packs they might success, but then you have numerous types of nav on board: INS, rNAV, GPS, VOR, TACAN, the list goes on. The chance of all of these being "swamped" is simply not there.
But frankly this conversation is moot because they are not allowed. The reasons are many. I'm just pointing out that what the flight attendant says "because they may interfere with the navigation systems of this aircraft" is what the airlines/FAA decided to say so that people would really take this request seriously.
I hold an ATP, ME, SEL, SES, rotorcraft, CFI, CFII, CFIME. I've been around airplanes as a pilot and worked on the radio gear as well. I've even turned on my cell phone in the cockpit of a Lear at 35,000. No problems. My buddy flies for a private jet charter company. Recently one of their aircraft experienced a very rare dual bus failure which left them with minutes of A/C power. Radios went down, luckily in VFR weather. What did they do? Pilot got out his cell-phone, call ATC on one of the numbers published in the Jepp and they landed VFR.
True his radios were dying but still alive. When they tried to transmit one radio would power down. So they could listen but not transmit. His cell phone didn't kill anything. The GPS still worked, and the hand held backup GPS was just fine as well.
Anyway enough of this... we've gotten off topic.