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Jan 12, 2022 at 4:49 comment added kotori I did,thank you!
Jan 12, 2022 at 4:49 vote accept kotori
Jan 12, 2022 at 4:48 vote accept kotori
Jan 12, 2022 at 4:48
Jan 12, 2022 at 4:47 vote accept kotori
Jan 12, 2022 at 4:48
Jan 12, 2022 at 4:41 comment added kotori ohh thank you!!
Jan 12, 2022 at 4:29 history edited Dan Boschen CC BY-SA 4.0
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Jan 12, 2022 at 4:24 history edited Dan Boschen CC BY-SA 4.0
deleted 65 characters in body
Jan 12, 2022 at 4:12 history edited Dan Boschen CC BY-SA 4.0
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Jan 12, 2022 at 4:07 comment added Dan Boschen @kotori Ok I see, yes the envelope can be a complex quantity and it is found using the same process. I'll expand how the analytic signal is a complex envelope and phase function.
Jan 12, 2022 at 3:49 comment added kotori I get it! in this case complex envelope is a constant ,If I change the modulating signal to a more complicated one,like Xt = x(t)*Accos(2*pifc*t+φ(t)),How to get the complex envelope in MATLAB? complex envelope becomes complex,in this case envelope is the same as complex envelope?
Jan 12, 2022 at 3:38 comment added Dan Boschen So the envelope itself is not complex-- if you are referring to something else that is itself a complex quantity as the envelope then I am missing something.
Jan 12, 2022 at 3:34 comment added Dan Boschen @kotori I believe this is the complex envelope if you mean by that the amplitude of a complex signal. For example to confirm we are saying the same thing, the complex signal $3e^{j \omega t}$ would also have a constant amplitude of 3. Notice that the analytic signal is a complex signal, and the analytic signal for $3cos(\omega t)$ IS $3e^{j \omega t}$!
Jan 12, 2022 at 3:31 comment added kotori Thank you very much!! I think here envelope is different from complex envelope, I also want to get complex envelope of a signal, Could I get mathematical expression of complex envelope only from known signal Xt in MATLAB?
Jan 12, 2022 at 3:18 history edited Dan Boschen CC BY-SA 4.0
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Jan 12, 2022 at 0:48 history edited Dan Boschen CC BY-SA 4.0
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Jan 12, 2022 at 0:48 comment added Dan Boschen Yes! I was, thank you!!
Jan 12, 2022 at 0:33 comment added GrapefruitIsAwesome are you missing an imaginary unit before the Hilbert transform in the analytic signal expression? (Sorry but its not letting me "at" for some reason...)
Jan 12, 2022 at 0:07 history edited Dan Boschen CC BY-SA 4.0
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Jan 11, 2022 at 23:51 history answered Dan Boschen CC BY-SA 4.0