the speed of light waves (relative to the observer) varies with the speed of the observer, in violation of Einstein's relativity.
http://researcher.nsc.gov.tw/public/fangyuhlo/Attachment/031016202571.pdf Fang-Yuh Lo, Department of Physics, National Taiwan Normal University: "Observer moves toward source: frequency becomes higher. Observer moves away from source: frequency becomes lower. How much higher (lower)? Wavelength does not change. Change in velocity: Vnew=Vwave±Vobs. (...) Examples: sirens of a traveling vehicle; speed radar of police; red shift in light - astronomical observation."
That is, if the observer starts moving towards / away from the light source with (small) speed v, the speed of the light relative to him shifts from c to c'=c±v, and this shift causes the frequency measured by him to shift from f=c/L to f'=c'/L, where L is the wavelength: