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Could anyone lead me on the right path on where I could get more information in regards to a narrowband Gaussian signal can be modeled as:

$$ X(t)\cos(2\pi f t)+Y(t)\sin(2\pi f t) $$

where $X(t)$ and $Y(t)$ are the in phase and quadrature phase noise amplitudes.

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  • $\begingroup$ Your question body doesn't match the title. The title is about bandwidth, the body is about representing an analytic signal. Could you edit your question to harmonize these two, and preferably to the subject you actually want to know about. $\endgroup$
    – TimWescott
    Feb 27 at 3:22

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You can find some information at least in Section 1-4, "Narrowband Noise and Envelope Detection", in the book: M. Schwartz, W. R. Bennett, and S. Stein, "Communication Systems and Techniques".

This old book, published 1966, can be accessed online if one signs in to IEEEXplore.org using their own personal account. Full book here. Otherwise one could maybe find a physical copy at some technical university library. I'm afraid I don't know any good public online sources.

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  • $\begingroup$ Thanks! Added the direct link into your answer. Much better than vague references to it. $\endgroup$
    – Peter K.
    Feb 28 at 1:41
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    $\begingroup$ You are welcome! I agree, the direct link is much better. Thanks for the link update! $\endgroup$ Feb 28 at 10:20
  • $\begingroup$ Thank you very much! $\endgroup$ Mar 15 at 5:41

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