Q5): a)- A discrete-time periodic signal x[n] is real valued and has a fundamental period N = 7.7 Fourier series coefficients for a[n] are ao = 0, a₁ = a₁ = ej/2₁ a2 = a 2 = 2/3, a3 = a*3 = 3e³π/4 Express x[n] in the form x[n] = ao + = ao ak sin(wkn + ok) b)- For the continuous-time periodic signal k=1 x(t) = -1 + sin(t) + 2 sin(+2)

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Q5):
a)- A discrete-time periodic signal x[n] is real valued and has a fundamental period N = 7. The nonzero
Fourier series coefficients for xn] are
ao = 0, a1 = a*1 = edT/2, a2 = a* 2 = }e2"/3, az = a* 3 = 3ej/4
Express x[n] in the form
ak sin(wkn + Ok)
+ Op = [u]x
k=1
b)- For the continuous-time periodic signal
x(t) = –1+ sin(Ęt) + 2 sin(t + )
Determine the fundamental frequency wo and the Fourier series coefficients ak such that
x(t) = E akejkwot
k=-∞
Transcribed Image Text:Q5): a)- A discrete-time periodic signal x[n] is real valued and has a fundamental period N = 7. The nonzero Fourier series coefficients for xn] are ao = 0, a1 = a*1 = edT/2, a2 = a* 2 = }e2"/3, az = a* 3 = 3ej/4 Express x[n] in the form ak sin(wkn + Ok) + Op = [u]x k=1 b)- For the continuous-time periodic signal x(t) = –1+ sin(Ęt) + 2 sin(t + ) Determine the fundamental frequency wo and the Fourier series coefficients ak such that x(t) = E akejkwot k=-∞
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