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Does the filter there have anything to do with uncertainty ? I.e. is it written somewhere in the book that it is used there in the construction of the filter ?
Funny how people discover that mechanics equations are covariant with respect to the time inversion operation. why wouldn't they be covariant? energetically everything satisfies the principle of least action on the whole trajectory, which is the only one.
Comrades, can we keep it simple for "dummies"? For example. In what area of thechanalysis can the laws of quantum mechanics be applied? 2015.03.20 07:07:31
Any filter is by definition limited by the fundamental problem mentioned. Try to synthesize a non-redundant filter :-0 Though - try to justify a fundamental prohibition on its construction? That's the trick, there are no fundamental prohibitions.
Comrades, can we keep it simple for "dummies"? For example. In what area of thechanalysis can the laws of quantum mechanics be applied? 2015.03.20 07:07:31
The filter cannot be non-lagging, it shows some frequency when it is there, when it is not, it does not. Or ? Uncertainty seems to me to apply to filters in a broader sense.
You should understand a bit what a digital filter is... Then you wouldn't be talking about "the frequency it shows" :-)
I do not understand how you define the frequencies that should be selected by the filter, as I understand that, for example, there is no Fourier filter for selecting the required filter parameters. Do you set filter parameters manually and estimate them on paper? :-) Filters are a different story, but it's interesting that you found them in vagueness, if it's not a mistake. :-)
I have no idea what "frequencies" you are talking about. But if you need to decompose a signal into some frequencies, keep in mind that the FFT does not do that: the Fourier transform does not split the signal into HIS (inherent, in some way "true" frequency spectrum) frequencies, but into HIS (predetermined by a rigid transformation grid stemming from the number of samples to be transformed. In short, the result is a property of the transform, not of the original object. An example? Take a 100 Hz sine wave. Subject it to Fourier transforms. See in the spectrum (on a finite number of samples) anything but a stick at 100 Hz. Why it is thought that the spectrum of that 100 Hz sine wave contains anything but 100 Hz is the big problem of Fourier analysis.
No, Fourier is used to see the frequency with the maximum amplitude present in the series,