1. Consider a periodic signal x(t) whose period is 1 and Fourier series coefficient is Si/n, n + 0 X, = 1, n = 0, where j = v-1. (a) Write x(t) in Fourier series. (b) Determine the power of x(t). Hint: E=1 = n² /6. 2=D1 n2 (c) Suppose x(t) is applied to an LTI low-pass filter (LPF) whose transfer function is H(f)=1(). Determine the LPF output.
1. Consider a periodic signal x(t) whose period is 1 and Fourier series coefficient is Si/n, n + 0 X, = 1, n = 0, where j = v-1. (a) Write x(t) in Fourier series. (b) Determine the power of x(t). Hint: E=1 = n² /6. 2=D1 n2 (c) Suppose x(t) is applied to an LTI low-pass filter (LPF) whose transfer function is H(f)=1(). Determine the LPF output.
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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Transcribed Image Text:1. Consider a periodic signal x(t) whose period is 1 and Fourier series coefficient is
Si/n, n + 0
X, =
1,
n = 0,
where j = v-1.
(a) Write x(t) in Fourier series.
(b) Determine the power of x(t). Hint: E=1 = n² /6.
2=D1
n2
(c) Suppose x(t) is applied to an LTI low-pass filter (LPF) whose transfer function is
H(f)=1(). Determine the LPF output.
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