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An аudio signal given by e_(s) = 15 sin 2pi (100, 000t) modulates a carrier wave given by e_(s) = 60 sin 2pi(100,000t). If calculateFrequency spectrum of the modulated wave. |
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Answer» Solution : By comparing the given equations of signal and carrier with their standard FORM `e_(s)= E_(s)sin OMEGA _(s)t= E_(s)sin2pif_(s)t` `e_(C)= E_(c)sinomega_(c)t= E_(c) sin2pif_(c)t` we have signal frequency `F_(s)= 2000Hz` and carrier frequency `f_(c)= 100, 000Hz` The frequencies present in modulated wave (i) `f_(c)= 100, 000Hz= 100kHz` (ii) `f_(c)-f_(s)= 100,000-2000= 98kHz` (iii) `f_(c)+ f_(s)= 100kHz+ 2kHz=102 kHz` Therefore, frequency spectrum of modulated wave extends from 98kHz to102 kHz is called BAND width. |
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