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I have a question for the spectrum: In baseband before passing through channel, should the spectrum of a communication signal be symmetrical?

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Whenever you are dealing with real signals, be it in baseband or passband, the magnitude spectrum is symmetrical around $f=0$.

For mathematical convenience, quadrature signals are often written as complex. A baseband quadrature signal (also called the "complex envelope" or the "low-pass equivalent signal") is complex, and its magnitude spectrum is no longer expected to be symmetrical.

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