Suggest any two limitations of Fourier Series.
Introductory Circuit Analysis (13th Edition)
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Transcribed Image Text:Q3(a) Suggest any two limitations of Fourier Series.
(b)
A full-wave rectified sinusoidal signal has a peak amplitude A of 6 V and
a time period of 2 ms. Using Fourier Series,
(i) calculate the frequencies and the amplitudes (magnitudes) for the
first four even harmonics and dc;
(ii) sketch the magnitude spectrum of this signal for the first four even
harmonics and dc.
2A
f (t) =
4A (cos2wt
cos4wt
+
3 x 5
cos6wt
+
cos8wt
+
7 x 9
1х3
5 x 7
π
(c)
Obtain the Compact trigonometric Fourier series of 6sin8t + 3cos8t.
(d)
Obtain the Fourier transform of a rectangular function. Also sketch its
magnitude spectrum.
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