Consider a discrete time signal x$[$n$]$ whose DTFT is given by x$($e$^($j$\backslash$omega $)).$ The discrete

time signal x$[$n$]$ is given as

x$[$n$]=3\backslash$delta $[$n$+2]+2\backslash$delta $[$n$]-4\backslash$delta $[$n$-1]$

Now consider another signal y$[$n$]$ with DTFT Y$($e$^($j$\backslash$omega $))$ given by

Y$($e$^($j$\backslash$omega $))=|$x$($e$^($j$\backslash$omega $))|^(2)$

The value of the following expression is

S$=\backslash$sum$\_($n$=-\backslash$infty $)^(\backslash$infty $)$ y$[$n$]$