Q3 (b) Consider a periodic signal as shown in Figure Q3(a). (a) Show that the Fourier series coefficients (ao, a, and b) for the signal x(t) are do -1/ 2 an(n) [(-1)"-1]; and ba (-1)". 1 771 Write down the trigonometric Fourier series expansion x(t). Use the answer in Q3(a) to find the amplitude-phase Fourier series expansion, x(t).

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Q3
(b)
⠀
Consider a periodic signal as shown in Figure Q3(a).
Show that the Fourier series coefficients (ao, an and b) for the signal x(t) we
(a)
an =
x(t)
Figure Q3(a)
1
'2'
[(-1)-1]; and
-(-1)".
ao=-
b₁ =
1
Write down the trigonometric Fourier series expansion x(t).
77
Use the answer in Q3(a) to find the amplitude-phase Fourier series expansion, x(t).
V
O
Transcribed Image Text:Q3 (b) ⠀ Consider a periodic signal as shown in Figure Q3(a). Show that the Fourier series coefficients (ao, an and b) for the signal x(t) we (a) an = x(t) Figure Q3(a) 1 '2' [(-1)-1]; and -(-1)". ao=- b₁ = 1 Write down the trigonometric Fourier series expansion x(t). 77 Use the answer in Q3(a) to find the amplitude-phase Fourier series expansion, x(t). V O
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