Consider the amplitude-modulated signal r(t) = 4, cos cot+m(t) cos coct. The carrier is 4 cos...
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Consider the amplitude-modulated signal r(t) = 4, cos cot+m(t) cos coct. The carrier is 4 cos , while m(1) cos et represents the sidebands. The power in the carrier is Pr = 4. Let P, be the power in the sidebands and P, the power in the message signal. Then P₁ = lim = m²(1) cos² (e,t)dt = = lim="m² (1) [1 + cos (2,1)]dt But at[m²(1) cos (2001)dt = 0 Therefore, >= {lim m² (t)}dt The right-hand side of the last equation is half the power P in the message signal. Thus, P₁ = P (3.14) (3.15) Consider the amplitude-modulated signal r(t) = 4, cos cot+m(t) cos coct. The carrier is 4 cos , while m(1) cos et represents the sidebands. The power in the carrier is Pr = 4. Let P, be the power in the sidebands and P, the power in the message signal. Then P₁ = lim = m²(1) cos² (e,t)dt = = lim="m² (1) [1 + cos (2,1)]dt But at[m²(1) cos (2001)dt = 0 Therefore, >= {lim m² (t)}dt The right-hand side of the last equation is half the power P in the message signal. Thus, P₁ = P (3.14) (3.15)
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