You might find the lab on Fourier Series useful in
answering this question. The Matlab lab sheet is
here. Find the Fourier series of the 2
p-periodic function
In entering your answers, we will denote the coefficients in the
series by
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f(x) = a0 + |
¥
å
m=1
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( a2m-1 cos((2m-1) x) + b2m-1 sin((2m-1) x) + a2m cos(2m x) + b2m sin(2m x) ) |
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In this sum, m goes from 1 to infinity.
The various coefficients for which you are asked are
rational functions of m, and should be entered as such.
Use the facts that sin(m
p) = 0, cos(2m
p) = 1,
cos((2m
-1)
p) =
-1 to remove trig functions from your
expressions for the coefficients.
Enter
p as Pi.
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a0 =
Your answer is correct.
The mark for your last attempt was 1.00
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For the remainder of the question, m ³ 1:
a2m-1 =
Your answer is correct.
The mark for your last attempt was 1.00
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a2m =
Your answer is correct.
The mark for your last attempt was 1.00
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b2m-1 =
Your answer is correct.
The mark for your last attempt was 1.00
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b2m =
Your answer is correct.
The mark for your last attempt was 1.00
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