3. Recall Example C from the lecture notes, where we considered the periodic extension of the signal f(t)=t, -1≤t<1, and found the exponential Fourier series coefficients to be (-1)n πη Dn = n #0 n = 0. Suppose for some N we approximate f(t) using only the exponential Fourier series terms between -N and N: N f(t) = Σ Dheiwont n=-N Find the smallest N such that the approximation f(t) captures 85% of the power of the original signal f(t).
3. Recall Example C from the lecture notes, where we considered the periodic extension of the signal f(t)=t, -1≤t<1, and found the exponential Fourier series coefficients to be (-1)n πη Dn = n #0 n = 0. Suppose for some N we approximate f(t) using only the exponential Fourier series terms between -N and N: N f(t) = Σ Dheiwont n=-N Find the smallest N such that the approximation f(t) captures 85% of the power of the original signal f(t).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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
Transcribed Image Text:3.
Recall Example C from the lecture notes, where we considered the periodic
extension of the signal
f(t)=t, -1≤t<1,
and found the exponential Fourier series coefficients to be
(-1)n
πη
Dn =
n #0
n = 0.
Suppose for some N we approximate f(t) using only the exponential Fourier series terms
between -N and N:
N
f(t) = Σ Dheiwont
n=-N
Find the smallest N such that the approximation f(t) captures 85% of the power of the
original signal f(t).
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