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July 25th, 2014, 12:21 PM   #1
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Series expansion of the signum function of sine

Hi,

I just read a physics paper and there it expands signum of a sine function as below:


sgn(sin(wt))=(4/pi)*{sin(wt)+(1/3)*sin(3wt)+(1/5)*sin(5wt)+.......}

How can we expand sgn(sin(wt)) like this?

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July 25th, 2014, 12:25 PM   #2
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I dunno, kind of like this?
Fourier Series--Square Wave -- from Wolfram MathWorld
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July 25th, 2014, 11:11 PM   #3
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