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frequency spectrum analysis of full-wave retified sine wave

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lhlblue

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for a sine wave of 50hz, if full-wave rectified, the wave can be 100hz. but at the transition point, that is, the connection point of adjacent two half sine wave, the frequency can be a little higher(2k~10khz maybe, because it is very sharp at this point), but i want to get the exact frequency of the transition point. i used fft, but didn't get any useful information.
thanks.
 


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