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Phasor diagram of a Amplitude modulation and Frequency modulation

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rajasekharnbkrist

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How to draw the Phasor diagrams of A.M and F.M.

what are the reasons for the following two cases

(1). In A.M the resultant of the two side band vectors is always in-phase with carrier component ,Why?

(2). In F.M the resultant side band vector is always in phase-quadrature with carrier component,Why?
 

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