Mixing
Is it possible to compute Fourier coefficient for a function made up of different functions?
$begingroup$
I'm not too experienced on this but here goes:
As an example I just made, consider the function f(x), such that f(x) = f(x+6) (so the period is 6) and
f(x)=
2x {0≤x≤3}
-5x+21 {3≤x≤4}
$frac{-x}{2}+3$ {4≤x≤6}
here is a graphical representation of the function: https://www.desmos.com/calculator/kxn3ydklhm
so, I'm wondering if it is possible to compute $a_0$, $a_n$ and $b_n$ and how it would be done
fourier-series
asked Jan 19 at 19:30
osobiehlosobiehl
11
$endgroup$
add a comment |
$begingroup$
I'm not too experienced on this but here goes:
As an example I just made, consider the function f(x), such that f(x) = f(x+6) (so the period is 6) and
f(x)=
2x {0≤x≤3}
-5x+21 {3≤x≤4}
$frac{-x}{2}+3$ {4≤x≤6}
here is a graphical representation of the function: https://www.desmos.com/calculator/kxn3ydklhm
so, I'm wondering if it is possible to compute $a_0$, $a_n$ and $b_n$ and how it would be done
fourier-series
asked Jan 19 at 19:30
osobiehlosobiehl
11
$endgroup$
add a comment |
$begingroup$
I'm not too experienced on this but here goes:
As an example I just made, consider the function f(x), such that f(x) = f(x+6) (so the period is 6) and
f(x)=
2x {0≤x≤3}
-5x+21 {3≤x≤4}
$frac{-x}{2}+3$ {4≤x≤6}
here is a graphical representation of the function: https://www.desmos.com/calculator/kxn3ydklhm
so, I'm wondering if it is possible to compute $a_0$, $a_n$ and $b_n$ and how it would be done
fourier-series
asked Jan 19 at 19:30
osobiehlosobiehl
11
$endgroup$
I'm not too experienced on this but here goes:
As an example I just made, consider the function f(x), such that f(x) = f(x+6) (so the period is 6) and
f(x)=
2x {0≤x≤3}
-5x+21 {3≤x≤4}
$frac{-x}{2}+3$ {4≤x≤6}
here is a graphical representation of the function: https://www.desmos.com/calculator/kxn3ydklhm
so, I'm wondering if it is possible to compute $a_0$, $a_n$ and $b_n$ and how it would be done
fourier-series
fourier-series
asked Jan 19 at 19:30
osobiehlosobiehl
11
asked Jan 19 at 19:30
osobiehlosobiehl
11
asked Jan 19 at 19:30
osobiehlosobiehl
11
asked Jan 19 at 19:30
osobiehlosobiehl
11
asked Jan 19 at 19:30
osobiehlosobiehl
11
11
add a comment |
add a comment |
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