led lights causing bad radio reception

I have a 98 corvette with a factory Bose stereo system in it.

I recently installed LED front and rear lights in place of the factory bulbs.

The rears are DEPO LED housings and the fronts are Switchback LED's from autolumination. 

The radio gets great reception until the lights are turned on.  Then it gets bad and FM seems worse than AM.

When I step on the brake and turn on the brake lights it gets even worse.

I checked with a local shop and he had never heard of LED's doing this. I ask him about an antenna booster but he thought that it would only boost the noise.

Does anyone have any ideas on what I could do to fix this other than going back to stock bulbs?

I  also want to tell about the corvette antenna (s)  This car uses 2 radio antennas, one in the front windshield and one in the rear window. Both leads go into a controller box mounted  somewhere under the carpet near the driver seat.  This controller supposedly analyzes the signal from both antennas and decides which is best for the station that is tuned in at the time and then sends only the signal from that antenna to the radio.  I have no reason to believe that the controller is bad because the radio works fine when no lights are on.

Thanks in advance

Jeff

Do you know if the lights have an integrated controller (a circuit board of any type) inside them?  The only thing I can think of off the top of my head is that the LEDs are pulse width modulated (PWM) and your antenna is picking up noise created by this.  PWM systems contain strong noise components at the PWM frequency and at odd harmonics of that frequency.

Have you contacted the manufacturer to see if they have any advice?  They would know better then anyone else.