A periodic signal is given as x(t) = {-t+3, 2

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signals and systems question. answer c and d sections.

t- 1, 0<ts2
l-t+3, 2<t<4
A periodic signal is given as x(t)
with period T = 4.
a) Plot the signal x(t).
b) Determine the Fourier series coefficient, ao
c) Determine the Fourier series coefficients, br of signal y(t) :
dx(t)
dt
d) Determine the Fourier series coefficients, ax of signal x(t).
{Hint: Try to find a relation between az and b̟. Use the differentiation property.}
e) Determine the Fourier transform of the periodic signal y(t).
Transcribed Image Text:t- 1, 0<ts2 l-t+3, 2<t<4 A periodic signal is given as x(t) with period T = 4. a) Plot the signal x(t). b) Determine the Fourier series coefficient, ao c) Determine the Fourier series coefficients, br of signal y(t) : dx(t) dt d) Determine the Fourier series coefficients, ax of signal x(t). {Hint: Try to find a relation between az and b̟. Use the differentiation property.} e) Determine the Fourier transform of the periodic signal y(t).
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