Electronics > Projects, Designs, and Technical Stuff

Let me get this straight once and for all.

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Simon:
Right, Attached is some of my coursework. I am trying to work out haw to calculate harmonic values, For example I am asked for the 101st harmonic, I make that using the big formula on page 3 4.7x10^-32V for a 1MHz pulse lasting 10ns wise a rise time of 100ps.

I am troubled by the fomula at the bottom of page 3 that states that the individual sinusoides will be the....... and that is simply the formula for the amplitude at some point in time of any generic sinusoidal waveform and bears little relevance does it not?

dmills:
10^-32 Really? That is small.

Hold on :

Fundamental is clearly 1MHz (1us period).
First breakpoint is at 1/PiTw = 1/(3.1 * 10ns) = ~32MHz.
Second breakpoint is at 1/PiTr  = 1/(3.1 *100ps) = ~ 3200MHz.

Thus the 101st harmonic is on the 1/f slope.
 
Low frequency amplitude is (from figure 4) 2ATw/T, Tw is 10ns, T is 1us, so below the first breakpoint amplitude is 2% of whatever the peak amplitude of the 'square wave' is.  And your 101st harmonic is only about 3 times the first breakpoint, so I find 10^-32V highly unlikely.

Of course you might have a combination of numbers that happens to give a deep null at that particular harmonic, and I really cannot be arsed to do the sums. 

Regards, Dan.

Simon:
i made a mistake in the calculation. It is 3.56x10^-4.

But here is the thing. My calculations do not make up the graph they theorise and i proved this with my signal generator and oscilloscope in FFT mode. The harmonics drop off and then spike back up at the rise time frequency like my plot does but the material shows an entirely different graph.

dmills:
I doubt that your AWG is managing 100ps rise time at the scope, being as it is only a 20MHz/250Ms/s unit (so must have a reconstruction filter cutoff below about 100MHz or so).

Then your scope will have a rise time measured in ns not picoseconds....

Regards, Dan.

Simon:
No it's a 6.6ns rise time which is the 50MHz peak. My point is that contrary to the theoretical graph the harmonics due to the principle waveforms frequency die down to near 0 and the Rise time frequency causes a renewed spike in the harmonic content.

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