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&#039;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&#039;t converge. . .

<br /> Why do you say that?