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what is power spectral density were going to look at an example and then some maths and then have a couple more examples at the end and here is an example of my voice recorded saying the word density and Ive recorded it twice and you can see that these waveforms are not the same they are different waveforms and thats because they are random so theyre random processes and were very much interested in characterizing random processes mathematically and one thing well be interested in is in their Spectrum content so the spectral density so how do we go about doing that for these signals for me saying the word density as an example well something we could do is we could take each of these waveforms and take their Fourier transforms and thats what Im showing here of course these two Fourier transforms are different because the original signal was different and so then were left with thinking to ourselves how do we characterize that overall one thing we could do is we could think abo