The Fourier series equation for a periodic wave with a square waveform is shown

Question

The Fourier series equation for a periodic wave with a square waveform is shown in Table 4.1 of your text. Plot 3 periods of this function.

a) In exact form in time domain (i.e. half a period of positive amplitude, half a period ofnegative amplitude)

b) With 5 Fourier terms in time domain

c) With 10 Fourier terms in time domain

d) With 25 Fourier terms in time domain

e) with 99 Fourier terms in time domain

f) In the frequency domain (one period only…)

TABLE 4.1: Equations for Special Periodic waveforms shown in Fig. 4.9 Figure Equation" 4A 4A 49(a) sin tur sin Bar sin sin (2n 1)at 2A 4.9(b) sin our 2A 2A 4.9(c) sin 2aur sin 3eut sin mat 4.9(d) cos cor cos cos(2n 8A 8A 4.9(e) sin (2n 1)at (5) 8A 4900 (r cos air cos 3out (3) 2A 2A sin a sin at sin 2a sin 2odr sin 3a sin Baur t a) a) n as used in these equations does not necessarily represent the harmonic order. sin no sin noot

Explanation / Answer

4.9 (d) and 4.9 (f) are even function, the periodic functions in positive quadradent.

a).

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