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I might need some help understanding the usefulness of the complex analytic signal.

The world is made of real valued signals like x(t). Its Fourier transform can be one-sided, or, if we used complex sinusoids, two-sided and symmetric. So a real signal is only made of positive and equal amount of negative (complex) sinusoids. The negative sinusoids dont really a physical meaning, I guess.

The complex sinusoids seem to be useful. But then we come up with the complex analytic signal, which transforms a real signal into a complex signal with only the positive part of the frequency.

Ok, but what do we gain? We have been using the double sided spectrum. If we don't like the negative frequencies we could just filter them out.

thanks for any clarification

fisico30

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# Complex analytic signal

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