A single-tone modulating wave m(t) =Amcos(21 fmt) is used to generate the VSB modulated wave: s(t)=a...

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A single-tone modulating wave m(t) =Amcos(21 fmt) is used to generate the VSB modulated wave: s(t)=a AmA.cos[21 (f. + fm) t] + AmA(I-a)cos[2T (f. - fm) t], where a is a constant (a s 1), A, is the amplitude of carrier, and f. is the frequency of carrier. (a) Express s(t) in the form of I(t)cos(2Tmf. t)+ Q(t)sin(2Tf. t), where I(t) and Q) are called the in-phase and quadrature components. (b) What is the value of the constant a for which s(t) reduces to a DSB-SC modulated wave? (c) What are the values of the constant a for which s(t) reduces to a SSB modulated wave? (d) The VSB wave s(t), plus a carrier A. cos(2Tif. t), is passed through an envelope detector. Determine the distortion produced. A single-tone modulating wave m(t) =Amcos(21 fmt) is used to generate the VSB modulated wave: s(t)=a AmA.cos[21 (f. + fm) t] + AmA(I-a)cos[2T (f. - fm) t], where a is a constant (a s 1), A, is the amplitude of carrier, and f. is the frequency of carrier. (a) Express s(t) in the form of I(t)cos(2Tmf. t)+ Q(t)sin(2Tf. t), where I(t) and Q) are called the in-phase and quadrature components. (b) What is the value of the constant a for which s(t) reduces to a DSB-SC modulated wave? (c) What are the values of the constant a for which s(t) reduces to a SSB modulated wave? (d) The VSB wave s(t), plus a carrier A. cos(2Tif. t), is passed through an envelope detector. Determine the distortion produced.

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