Signal modeling of reflected laser

[jmountney]

Hello all,

I am trying to model a received laser signal, x(t), reflected off a moving target. I am currently trying to model for both frequency change due to Doppler shifting as well as a time-varying phase shift, θ(t), due to the continuous change in distance from the target. My current model is as follows:

x(t) = cos(2∏(f+f0(t))t + θ(t)),

where f0(t) is the Doppler effect at time t and θ(t)=(distance at time t)/wavelength. I do not assume constant velocity so the f0(t) may change over time.

I am not sure if this physical model is correct. Any comments or suggestions are welcome. Thank you.

 

[gtoguy97]

</code>Yes, this physical model is correct. The Doppler effect will cause the frequency of the reflected signal to change as the distance between the target and transmitter changes, while the phase shift will be determined by the changing distance between the two as well.