Cutout
You may have a glitch somewhere in the car, when you jump its causing it to react.
Could be metal to metal contact that is does not move until the car takes a shock, such as a jump.
I would not rule out a problem with the rcvr but I would see if you can get the glitch to happen with the car stationary.
You may then be able to solve the problem.
I am unsure what rcvrs would work with your radio as I have not heard of that one before, Your best bet would be to check with the manufacturer as to what is compatible.
Dbow