Consider the following CT periodic signals x(t), y(t) and z(t) x(t) -5 -4 -3 (c) -5 -4 -3 -5 -4 -3 -1 -2 y(t) 1 AAKAA -1 1 2 1 z(t) 2 1 cients C for the CT signal z(t), where 2 2 3 3 4 3 z(t) = x (t) (1 + cos(πt)). 4 5 t 4 य t 5 (a) Find the Fourier series coefficients, ak, for the CT signal x(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation. 5 (b) Find the Fourier series coefficients, bk, for the CT signal y(t) = cos(πt). You must use the fundamental frequency of y(t) in constructing the Fourier series representation. t Using the results of parts (a) and (b), determine the Fourier series coeffi- You must use the fundamental frequency of z(t) in constructing the Fourier series representation.

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Q: Signals and Systems

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Q: signal system

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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.