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thebugger
modified 10 years ago

Square Wave Experiment

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02:15:47
The experiment consists of an ideal square wave generator. An ideal square wave is constructed of an infinite number of sinusoidal odd harmonics. To define the amplitude level of the fundamental frequency, the 3rd,5th,7th and 9th harmonic we use a few notch filters. They clip off (very sharply) one specific frequency while leaving all others. As you can see at each notch filter we see an ever decreasing series of ever increasing in frequency, harmonics. Now if we want to measure the amplitude of each harmonic, we take a look at every connection between L and C. For the fundamental frequency, the amplitude is 6.34V. This means that around 3/4 of the whole wave is comprised of the fundamental. The remaining 3.66V are split between an infinite number of harmonics. The most prominent are the 3rd (1.23V), the 5th (541mV), the 7th (300mV) and the 9th (236mV). They keep increasing, while their amplitude keeps decreasing, and in reality, no square wave is comprised of an infinite number harmonics, but actually quite finite. Also since in reality there is no such thing as ideal, every square wave will also contains even number harmonics.
published 10 years ago
flowDAQ
10 years ago
Have you study Fourier Transform yet, it is interesting.
thebugger
10 years ago
No, not yet, although I'm somewhat familiar with the fourier series, and their implementation. They describe exactly what I've shown, right? I'm not very good at math, although i compensate with physics and electronics. I strongly believe that as long as you get what's going on in a given system/circuit you don't need anything more than basic maths. Most discoveries were made by first practically finding the phenomena and then working out the math behind it.
2ctiby
10 years ago
Reminds me of the days when I used to analyse with Fourier Transforms, but I would be uncertain how to do it now if you get the drift.
2ctiby
10 years ago
Just read the previous comments....they got there before me. Back in the day we had to analyse Fourier Transforms without using calculus as a practice ...trust me, it it can be done but it was a whole lot easier with calculus than doing it without. I wouldn't know where to start these days but calculators have been invented since then and graphics packages on computers can give us instant colourful results with a few button presses now.
flowDAQ
10 years ago
I can't think of a single time where I used Fourier Transforms, but it was fun at the time. Probably cause I got to use Mathematica to solve and show graphics.
2ctiby
10 years ago
I needed them to analyse light from carbon dioxide lasers before modern hand held diode ones were invented. It was when optical character recognition was just starting out and I remember bouncing the laser beam off an LP and hearing the music via a photo-detector/amp. ...wish I had patented the idea....Ah nostalgia is not what it used to be.
thebugger
10 years ago
I've often thought of using a laser controlled amplifier, although it has to be in class D, I'm not sure if the laser can drive the amp linearly enough for it to be in any of the analog classes. But i can also think of a down side for laser control. The circuit must be isolated from any light sources, so that no other light will interfere with the driver.
stanislav_maslovski
10 years ago
If you want a more precise measurement of the amplitudes of the harmonics, replace the resistors (except the first one) with shortcuts and measure currents in the coils. When all the notch filters are tuned precisely, the amplitudes of these currents will be exactly proportional to the harmonic amplitudes.
stanislav_maslovski
10 years ago
... in the limit of infinitely many such filters :)
thebugger
10 years ago
That's what I've done. Without the resistors, ir wouldn't be a notch filter, but a series resonant circuit
jpoulin0901
10 years ago
This circuit is similar, in a way, to how the human ear and brain process sound information with an array of "tuned" neurons, each sensitive to a particular frequency.

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