2. Consider the periodic triangle wave S1+t -1

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2. Consider the periodic triangle wave
S1+t -1<t <0
f(t) =
- t
Triangle Wave
-1
-3
-2
-1
3.
Time (seconds)
(a) Find the Fourier coefficients for this function.
(b) Plot the function and its Fourier approximation between t =
-2 and t = 2 for Kmax
= 1.
Kmax = 3, and Kmax
= 21. Comment.
(c) How many terms in the Fourier series are required for good resolution of the function? Use
your engineering judgement to determine this.
Transcribed Image Text:2. Consider the periodic triangle wave S1+t -1<t <0 f(t) = - t Triangle Wave -1 -3 -2 -1 3. Time (seconds) (a) Find the Fourier coefficients for this function. (b) Plot the function and its Fourier approximation between t = -2 and t = 2 for Kmax = 1. Kmax = 3, and Kmax = 21. Comment. (c) How many terms in the Fourier series are required for good resolution of the function? Use your engineering judgement to determine this.
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