Take a ring of rotating matter.
No matter what frequency it rotates at, there is no General Relativistic waves emanating from it.
Now assume that the matter starts to clump up into two balls. NOW we have GR radiation.
Now run the camera in reverse.
What we have is an object that aggressively reflects (exchanges) GR radiation with other similar objects at the same frequency.
The rings I am talking about are the mass of an electron and very very small.