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Given y[n]=x[n]cos[(π/4)n] , Find the DTFT of y[n]. The hint we were given is to use...

Given y[n]=x[n]cos[(π/4)n] , Find the DTFT of y[n].
The hint we were given is to use the convolution in frequency domain using the dirac delta function property of the cosine. i will like if you help. Thanks

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Answer #1

The main difference between continuous and discrete complex sinusoid is, for continuous case, transform is a simple delta function at that frequency, but for discrete case, since DTFT is 2*pi periodic, therefore transform is an infinite sum of delta functions deuterated by 2*pi radians each

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