Let St, x(t) = t. = 2 t, 0 ≤ t ≤1 1≤t≤2 be a periodic signal with fundamental period T = 2 and Fourier coefficients ak. a) Determine the value of ao. b) Determine the Fourier Series representation of dx/dt. c) Use the results of part (b) and the differentiation property of the FS to help determine the FS coefficients of x(t).

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Let
x(t)
=
t,
2-t,
0 ≤ t ≤ 1
1≤t≤ 2
be a periodic signal with fundamental period T = 2 and Fourier coefficients ak.
a) Determine the value of ao.
b) Determine the Fourier Series representation of dx/dt.
c) Use the results of part (b) and the differentiation property of the FS to help determine the FS
coefficients of x(t).
Transcribed Image Text:Let x(t) = t, 2-t, 0 ≤ t ≤ 1 1≤t≤ 2 be a periodic signal with fundamental period T = 2 and Fourier coefficients ak. a) Determine the value of ao. b) Determine the Fourier Series representation of dx/dt. c) Use the results of part (b) and the differentiation property of the FS to help determine the FS coefficients of x(t).
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