Frequency adder

228

02:51:05

This circuit add some odd frequency wave. This circuit is for understanding the basic frame of Fourier Transform.

published 9 years ago

2ctiby

9 years ago

Very instructive...if the six switches are opened, then we see a neat sine wave. Then as each switch (belonging to odd, not even frequencies beyond the fundamental) is closed, we see the sine wave progressively altered towards a square wave....but not being entirely square looking here due to the few entries used. Nice job...shows how complex waves, including a square wave are all comprised by addition of sine waves...whilst retaining their own individual sine-like quality which can be unravelled using Fourier.

hurz

9 years ago

To help you to understand, this is called "inverse fourier transformation" and if you use not only odd frequencies and also use the phase relation and use much enough of harmonics, you can do things like this http://everycircuit.com/circuit/4953520875765760

2ctiby

9 years ago

Yes...full credit to you ability there Hurz, please remember that this presentation was just an introduction for new-comers to Fourier with respect to frequency addition and one needs to bear in mind that the ideal square wave contains only components of odd-integer harmonic frequencies (of the form 2π(2k-1)f). Sawtooth waves and real-world signals do of course contain all integer harmonics.

hurz

9 years ago

My 2cent, for those who never published a working circuit http://everycircuit.com/circuit/5056359504019456

2ctiby

9 years ago

That is a very slight tweak on what was already presented here....the odd values are the only ones there of course, and you could waste a lot of time trying to get a perfect non-ripple square wave...an infinite time in fact!.....and don't start in with your insults again...I don't want to use this site to argue or insult or get angry.

hurz

9 years ago

Who started what, or may i say who never finished what? A circuit?

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