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Repeat the discrete transform, f(x)=2x sampled at x0=0, x1=1, x2=2, and x3=3. You must show as least as much detail . Please Show work Final

Repeat the discrete transform, f(x)=2x sampled at x0=0, x1=1, x2=2, and x3=3. You must show as least as much detail .

Please Show work

Final Ans: [12 -4+4i -4 -4-4i]^T

( hat{boldsymbol{f}}_{n}=boldsymbol{F}_{boldsymbol{N}} boldsymbol{f}_{boldsymbol{k}}=left[w^{n k}ight]left[fleft(

n = FNfk = [wn][(xk)] = = Two wo wo Lwo wo W1 w2 w3 wo W2 W6 wo] [f(xo)] w f(x) w6 f(x) w]f(x3)] w = e-i(2/N) = e-i(2/4)= e-in/2 = -i, f(x) = x

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