Application to cw Radar with Gaussian Input Signals Lorentzian Spectra

4 Application to cw Radar with Gaussian Input Signals (Lorentzian Spectra) 

In those cases where the narrowband Gaussian signal inputs possess Lorentzian power spectra rather than Gaussian power spectra, the input power spectral 

Here and D, are arbitrary constants, while T, and are constants reflecting the spectral width. Performing the inverse Fourier transform, the autocorrelation functions are found to be 

With the same noise input as considered in the previous section, and making use of (7.50), (7.91), (7.97), and (7.111), the output power spectral densities are 

We may calculate the output signal and noise to obtain (SNR)q as follows. Let 

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