Question 6. A waveform, f(t), with period 24ms (milliseconds) is sampled every 4ms to give t (ms) 04 8 12 16 20 24 f(t) 1.8 qr 1.9 0.4 p (i) Determine the Fourier series representation for f(t) up to and including the third harmonic. (ii) Graph the amplitudes (spectrum) of the first 3 harmonics and caleulate the percentage third harmonic.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Using P = 1.9, Q = 3, R = 5.6, ANSWER BOTH
PARTS!
%3D
Question 6.
A waveform, f(t), with period 24ms (milliseconds) is sampled every 4ms to give
t (ms) 0 48 12 | 16 20 24
f(t) 1.8 qr 1.9 0.4 p
(i) Determine the Fourier series representation for f(t) up to and including the third harmonie.
(ii) Graph the amplitudes (spectrum) of the first 3 harmonics and calculate the percentage
third harmonic.
Transcribed Image Text:Using P = 1.9, Q = 3, R = 5.6, ANSWER BOTH PARTS! %3D Question 6. A waveform, f(t), with period 24ms (milliseconds) is sampled every 4ms to give t (ms) 0 48 12 | 16 20 24 f(t) 1.8 qr 1.9 0.4 p (i) Determine the Fourier series representation for f(t) up to and including the third harmonie. (ii) Graph the amplitudes (spectrum) of the first 3 harmonics and calculate the percentage third harmonic.
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