Discrete Time Fourier Transform

[Mr.Tibbs]

Find the DTFT of:

h[n]=(-1)$^{n}$$\frac{sin(\frac{\pi}{2}n}{sin(\pi n}$

useful properties:

x[n]y[n] --> X[Ω]*Y[Ω]

$\frac{sin(\frac{\pi}{2}n}{sin(\pi n}$ --> rect[$\frac{2Ω}{\pi}$


I have no clue how to deal with the (-1)$^{n}[\itex] the DTFT of that doesn't converge. . .<br /> <br /> any help would be appreciated$

 

[marcusl]

I have no clue how to deal with the (-1)$^{n}[\itex] the DTFT of that doesn't converge. . .$

$Why do you say that?$