Consider the following two periodic sequences. Note that both are periodic triangular functions, but g[k] has...

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Consider the following two periodic sequences. Note that both are periodic triangular functions, but g[k] has a larger period compared to f[k]. f[k] = with f[k+7]=f[k] (i) 3-k| |k|<3 k=3 0 |k<3 with g[k +21]=g[k]. 0 3≤ k ≤10 Determine the Fourier transform F(Q) and G(Q). Sketch the two Fourier spectra over g[k] = 3-k Ω=[−2π,2π]. (ii) Compare and contrast the two Fourier spectra. Consider the following two periodic sequences. Note that both are periodic triangular functions, but g[k] has a larger period compared to f[k]. f[k] = with f[k+7]=f[k] (i) 3-k| |k|<3 k=3 0 |k<3 with g[k +21]=g[k]. 0 3≤ k ≤10 Determine the Fourier transform F(Q) and G(Q). Sketch the two Fourier spectra over g[k] = 3-k Ω=[−2π,2π]. (ii) Compare and contrast the two Fourier spectra.

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i Determination of the Fourier Transform F and G Sequence fk The Fourier transform F of the sequence fk 3 k for k 3 and 0 otherwise with period T 7 is ... View the full answer