The signal x(t) = sinc²(5t) is sampled at 15Hz to produce the signal x,(t). (a) Derive the Fourier transform of the sampled signal xs(t). (b) Sketch the spectrum of the sampled signal xs(t).

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Q: X(w) — [8(w – 12) + 8(+12)] Find (t). a. sin(12t) b. sin(2pi12t) Oc. cos(2pi12t) d. cos(12t)

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A: Discrete Fourier series

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Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.