Receiver-averaged Wigner distribution (source code)

= Receiver-averaged Wigner distribution
{title2=$\mathcal W_A$}

For receiver-dependent <Green functions> $g_{\boldsymbol\zeta}(\mathbf z)$ and <aperture> weight $a(\boldsymbol\zeta)$, define $\mathcal W_A(\mathbf Z,\mathbf p)=\int a(\boldsymbol\zeta)W[g_{\boldsymbol\zeta},g_{\boldsymbol\zeta}](\mathbf Z,\mathbf p)\,d\boldsymbol\zeta$. Its inverse separation <Fourier transform> is the kernel of the <time reversal operator> on the source plane.