I managed to fix the whistle I was getting from the stubby antenna. Here's how:
1. Unscrew the antenna from the car so that you can more easily see what you are doing in the following steps.
2. Unscrew the top cone tip from the antenna.
3. Using two 1/16" inside diameter O-rings (got a pkg of ten at Home Depot for $2), slide the O-rings onto the top (smallest) shaft of the antenna. They only need to be pushed on by about an inch. Do use two O-rings, as one did not do the job.
3. Screw the cone back onto the antenna and use a small tool such as a screwdriver to push both O-rings into the cavity on the large end of the cone. With the antenna off the car it's very easy to turn it over and see what you are doing. You don't have to push them in very far.
4. Collapse the antenna assembly completely to push the O-rings up into the cone cavity. Note: The antenna cannot be fully collapsed...there will remain about a 1/16" space.
5. Screw the antenna back onto the stub. The two O-rings change the resonant frequency of the cone's cavity and no more whistle is noted.
Another word here on antennas and reception:
I recently pulled the radio 10 and replaced it with a Pioneer F90BT Navigation/Receiver and found it necessary to put the original equipment antenna back on the car (temporarily) to get adequate signal strength to input weaker stations into the Pioneer. The extended stubby antenna does reduce reception appreciably, but it does look good! AM reception on the Pioneer is almost non-existant, but I don't listen to it anyway. I would not rate FM reception as anything exceptional.