Does USB connection influence a 433mhz receiver (virtualwire/radiohead)?

Hello everybody,
I have a quite puzzling behavior and hope somebody can help me interpreting this. I want to connect two arduinos each equipped with 433MHz receiver and transmitter, the first is an UNO, the second a MEGA. Everything works as long as the MEGA is connected via USB to the computer. Once the MEGA is run
with external power either via USB port or power plug, the receiver gets messages extremely rarely. I first worked with virtualwire. Since I didn't found the problem, I switched to radiohead, but I have the same behavior with both libraries.
I then loaded the sample programs from radiohead (ask_receiver,ask_transmitter) and let the transmitter (the UNO) send one message a second. Although more messages are received by the MEGA, it is still a difference. With USB cable plugged in, every message is received, if it is plugged off, the MEGA drops messages occasionally. The UNO by the way doesn't show a different behavior if USB is plugged in.

In case somebody is out there having a deeper knowledge of the readhead library: Is there any side effect between USB connection and 433MHz receivers? Anything one can do about it? Thanks a lot.