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how to make a clean square wave?
how to make a clean square wave?
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Old 6th September 2004, 09:32 PM   #21
Lars Clausen is offline Lars Clausen  Denmark
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Quote:
1 x f + 1/3 x 3f + 1/5 x 5f + 1/7 x 7f....
If f=1 kHz, isnt 3f then 3 kHz?

And since 1/3 x 3 kHz is 1 kHz, isn't then 1/3 x 3f the same as 1 x f ?

So 1 x 1f + 1 x 1f + 1 x 1f ... or just infinity f

Did i miss something?
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Old 6th September 2004, 10:27 PM   #22
bigparsnip is offline bigparsnip  United Kingdom
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I think what it should be is a bit more like the thing below (try typing that into v-bulletin) which holds true of all repeating signals, not just square waves (they just hapen to have much larger percentages of the higher harmonics than some other signals like sine, or triangle waves).
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Old 6th September 2004, 10:37 PM   #23
Mr Teal is offline Mr Teal  Canada
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Quote:
Originally posted by Lars Clausen


If f=1 kHz, isnt 3f then 3 kHz?

And since 1/3 x 3 kHz is 1 kHz, isn't then 1/3 x 3f the same as 1 x f ?

So 1 x 1f + 1 x 1f + 1 x 1f ... or just infinity f

Did i miss something?

Lars, what he meant was 1A x 1f + 1/3A x 3f + 1/5A x 5f ... etc, where A = amplitude.
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Old 6th September 2004, 10:55 PM   #24
HFGuy is offline HFGuy  Canada
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Default Who says Math cant be fun ?

Fourier Series of a Square wave



x(t) = ∑ (4V/ k* pi) sin (kwt) V = amplitude
k =1

Where k is odd


So basically you get the fundamental w (angular freq) and odd harmonics decreasing at a rate of 1/k

w = 4V / pi
3w = 4V / 3pi
5w = 4V / 5pi

and so forth until finity or you stop caring
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