Nbfm Presentation

May 5th, 2015
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Angle modulation is the process in which the instantaneous angle of the carrier signal is changed according to the instantaneous amplitude of modulating or message signal. Carrier Signal, The instantane ous frequency is f i ( t ) = lim f ∆ t ( t ) ∆t → 0

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Nbfm Presentation1Angle ModulationAngle modulation is the process in which the instantaneous angle of the carrier signal is changed according to the instantaneous amplitude of modulating or message signal. Carrier Signal,The instantane ous frequency is f i ( t ) = lim f t ( t ) t 01 d i (t ) 2 dt For an unmodulate d carrier, i ( t ) is = i ( t ) = 2 f c t + c , where c is constantThere are two ways of varying the angle of the carrier: By varying the frequency, c Frequency Modulation. By varying the phase, c Phase Modulation2Frequency modulation is a type of angle modulation in which the instantaneous frequency fi(t) of the carrier signal c(t) is varied linearly with the message signal, m(t). Carrier SignalModulating Signal Modulated SignalFM modulated signal s(t) is a nonlinear function of the modulating signal m(t), thus it is known as nonlinear modulation process. FM is more difficult than amplitude modulation (AM). 3let m(t) = A m cos ( 2 f m t) f i (t) = f c + k f A m cos ( 2 f m t) = f c + f cos ( 2 f m t) f = k f A m :frequency deviation t 0 i (t) = 2 f i ()d = 2fct + Modulation index = f fm f sin ( 2f m t) fmi (t) = 2fct + sin ( 2f m t) s(t) = Ac cos[2fct + sin ( 2f m t)]Depending on , FM are of 2 types: Narrowband FM : < 1 radian Wideband FM : > 1 radian4s(t) = Ac cos[2f c t + sin ( 2f m t)] = Ac cos

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