$5/7$

Problem $4(12$ points$))$

Suppose $x(t)$ is real$-$numbered signal. Moreover, we know that for $0,$ we have its Fourier $-$ansform

$x(j)=1+j{}^2.$

etermine $x(j)$ for

$(2)$ Suppose integers $mn.$ Show that $e^{jm{}_{0}t}$ and $e^{jn{}_{0}t}$ are orthogonal to each other within one riodT, where ${}_0=\frac{2}{T}.$

$x(j{)}_{-1}=1-j\frac{{}^2}{y}(t)=1+j\frac{(\frac{2}{4}{)}^2}{4\frac{}{x}}$