- #1
cj
- 85
- 0
I can derive the Fourier series for a regular
sawtooth wave.
A different kind of sawtooth is represented by:
[tex] f(x)=\left\{\begin{array}{cc}-\frac{1}{2}(\pi +x),&\mbox{ if }
=-\pi \leq x < 0\\+\frac{1}{2}(\pi -x),& \mbox{ if } 0 < x \leq \pi\end{array}\right. [/tex]
For the life of me I can't figure out how
to derive the series for this, which is:
[tex]f(x)=\sum_{n=1}^{\infty} sin (nx/n)[/tex]
sawtooth wave.
A different kind of sawtooth is represented by:
[tex] f(x)=\left\{\begin{array}{cc}-\frac{1}{2}(\pi +x),&\mbox{ if }
=-\pi \leq x < 0\\+\frac{1}{2}(\pi -x),& \mbox{ if } 0 < x \leq \pi\end{array}\right. [/tex]
For the life of me I can't figure out how
to derive the series for this, which is:
[tex]f(x)=\sum_{n=1}^{\infty} sin (nx/n)[/tex]