Hi Bill (?),
I don't think you need to rush off and get someone with an SWR meter. Ask yourself some questions:
a) Has this problem suddenly developed?
b) Have I altered anything on the aircraft concerned or has anything been added around the antenna?
c) Have I changed the headset?
If the problem has suddenly developed and there's nothing to account for it, check the connector on the end of the coax at the radio end. If it's a crimped connector, is it properly connected to the braid of the coax? Pull the cable gently to see if the connector comes adrift. If all is well, check the antenna end of the cable. Again if there's a connector, check as before. If all's well get a multimeter and possibly with a friend, check the cable between inner and outer, if you can disconnect it from the antenna. It should measure no continuity , i.e. A resistance greater than 1 Megohm. Check the continuity of the inner conductor and of the outer braid. Both should be a few Ohms depending on the length. If all this is OK, connect the antenna cable to the radio and antenna.
If the answers to your questions don't give you a clue then perhaps it may be worth a test of the antenna, but problems such as this develop due to a cause. If all your investigations prove nothing, I'd suggest if possible connecting a borrowed handheld radio to the antenna if possible. Check transmission and reception from that and again it should give you a pointer to the problem.
You've not said what aircraft this is happening on. Is it a rag and tube job, composite or metal? Also what type of antenna is it? Is it a whip type or a dipole, perhaps on a rag and tube. These can all have a bearing on the problem. Hope this long reply gives you some help or clues.
Paul