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If we have a real signal (Sine / Cosine) all needed is to apply Hilbert Transform (Actually build the analytic signal as in MATLAB's hilbert()).

Remark 002: Usually those algorithm are used in the context of RF (RADAR, Communication, EW, SIGINT, etc...) data. So the Analytic Signal is "free".

If we have a real signal (Sine / Cosine) all needed is to apply Hilbert Transform (Actually build the analytic signal as in MATLAB's hilbert()).
Sometimes, this analytic signal is what we have to begin with (See remarks).

Remark 002: If those algorithm are used in the context of RF (RADAR, Communication, EW, SIGINT, etc...), then the Analytic Signal is "free".

Remark: Pay attention that neither of the algorithms will work for other models. Namely with more than a single tone or something like that.

Remark 001: Pay attention that neither of the algorithms will work for other models. Namely with more than a single tone or something like that.

Remark 002: Usually those algorithm are used in the context of RF (RADAR, Communication, EW, SIGINT, etc...) data. So the Analytic Signal is "free".

Where $ w \left[ n \right] $ is white noise un correlated with the signal itself.

Where $ w \left[ n \right] $ is white noise uncorrelated with the signal itself.