Application to cw Radar with Sinewave Input Signals

2 Application to cw Radar with Sinewave Input Signals 

We now assume that the two inputs to the photodetector are pure sinusoidal waves with constant phase over the spatial extent of the photodetector. This would be the case, for example, when the combining beam splitting mirror is optically flat and all broadening effects may be neglected. We let Ab = 2)8 2Al, ct), = cOi-ajL, cUb=(U2-ojL, and l b= t 2- l i.- The 

The amplitudes A, and A, are in this case constant, and the phases 0, and 0b are taken to be random variables uniformly distributed over the interval (0,2n) and independent of each other. We easily obtain 

The total correlation function of the input signal R (t) is the sum of the individual correlation functions 

Taking the Fourier transform, we obtain the power spectral density for the input signal  

---