Q4 A single tone modulating wave m(t) = Amcos2n fmt is used to generate the VSB modulated (3) wave: s(t) = aAmAc cos{2m(fe + fm)t} + (1 – a)AmAç cos{2#(fc – fm)t}, where a is a constant (a < 1), Aç : amplitude of carrier, fc: frequency of carrier. (a) Express s(t) in the form of I(t)cos(2nfct) + Q(t)sin(2nfct), where 1(t) and Q(t) are called in-phase and quadrature components. (b) What will be the value of a for which s(t) reduces to a DSBSC modulated wave?

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Q4 A single tone modulating wave m(t) = Amcos2n fmt is used to generate the VSB modulated
(3)
wave:
s(t) = aAmAc cos{2m(fe + fm)t} + (1 – a)AmAç cos{2#(fc – fm)t}, where a is a constant
(a < 1), Aç : amplitude of carrier, fc: frequency of carrier.
(a) Express s(t) in the form of I(t)cos(2nfct) + Q(t)sin(2nfct), where 1(t) and Q(t) are
called in-phase and quadrature components.
(b) What will be the value of a for which s(t) reduces to a DSBSC modulated wave?
Transcribed Image Text:Q4 A single tone modulating wave m(t) = Amcos2n fmt is used to generate the VSB modulated (3) wave: s(t) = aAmAc cos{2m(fe + fm)t} + (1 – a)AmAç cos{2#(fc – fm)t}, where a is a constant (a < 1), Aç : amplitude of carrier, fc: frequency of carrier. (a) Express s(t) in the form of I(t)cos(2nfct) + Q(t)sin(2nfct), where 1(t) and Q(t) are called in-phase and quadrature components. (b) What will be the value of a for which s(t) reduces to a DSBSC modulated wave?
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