I assume that the energy transported by a gravitational wave is dependent on its frequency, just like EM waves. If that is the case, let's imagine a particle travelling at relativistic speeds relative to the lab frame. Let's imagine the interaction of this relativistic particle with a gravitational wave of lab's energy E travelling with speed c and in direction opposite to that of the particle with respect to the lab's frame. With respect to the particle system of reference, the GW will be blue-shifted so its energy could be much higher. Would this high energy interaction produce some effect different to the interaction of a low-energy GW and a "at-rest" particle? Could these hypothetical effects be detected when considering cosmic rays and the sort (ultrarelativistic particles) and background GW interactions?