The Exponential Fourier series of a periodic function with fundamental frequency wo= rad/s is given by x(t) = Σκο ckejkwot where the coefficients c_k are given by Ck = ¹4(1-cos(kπ)) x(t) is applied as an input to an LTI system with transfer function H(jw) given by |H(jw)| = 2π-Awo ≤w≤-wo wo w ≤ 4wo elsewhere > 2π 0 and the phase of H(jw) is zero at all frequencies. Calculate the output y(t) when A=8. Enter the value of the output y(t) at t=0.3 i.e y(0.3), with three decimal places accuracy.

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The Exponential Fourier series of a periodic function with
fundamental frequency wo= rad/s is given by
x(t) = Σκου
Ckejkwot
where the coefficients c_k are given by
Ck = ¹ (1 - cos(km))
x(t) is applied as an input to an LTI system with transfer function
H(jw) given by
|H(jw)| =
wo- > س > 40 - 27
40 > س > ولا
2π
0
and the phase of H(jw) is zero at all frequencies.
Calculate the output y(t) when A=8.
Enter the value of the output y(t) at t=0.3 i.e y(0.3), with three
decimal places accuracy.
elsewhere
Transcribed Image Text:The Exponential Fourier series of a periodic function with fundamental frequency wo= rad/s is given by x(t) = Σκου Ckejkwot where the coefficients c_k are given by Ck = ¹ (1 - cos(km)) x(t) is applied as an input to an LTI system with transfer function H(jw) given by |H(jw)| = wo- > س > 40 - 27 40 > س > ولا 2π 0 and the phase of H(jw) is zero at all frequencies. Calculate the output y(t) when A=8. Enter the value of the output y(t) at t=0.3 i.e y(0.3), with three decimal places accuracy. elsewhere
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