In your answers below you may use sqrt(), but no trig functions, complex multiplication, or powers. (A) Compute the discrete Fourier transform of \(\vec{f} = (4, 1, -3, 4)\). $\mathcal{F}\{\vec{f}\} = (\Box, \Box, -1, \Box)$ (B) Compute the discrete Fourier transform of \(\vec{g} = (4, 2, -2)\). $\mathcal{F}\{\vec{g}\} = (\Box, \Box, \Box)$
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To compute the discrete Fourier transform (DFT) of a sequence, we use the formula: F(k) = Σ[n=0 to N-1] f(n) * exp(-2πikn/N) where f(n) is the input sequence, F(k) is the DFT sequence, N is the length of the sequence, and k is the frequency index. For the Show more…
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