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5- (25pts)- Consider the signal m(t) = cos(27ft) + 2 cos(27ft) fi=3kHz, f=5kHz. m(t) VSB modulates a carrier with frequency f=50kHz. The lowpass filter

5- (25pts)- Consider the signal m(t) = cos(27ft) + 2 cos(27ft) fi=3kHz, f=5kHz. m(t) VSB modulates a carrier

5- (25pts)- Consider the signal m(t) = cos(27ft) + 2 cos(27ft) fi=3kHz, f=5kHz. m(t) VSB modulates a carrier with frequency f=50kHz. The lowpass filter Ho(f) is given as |H/j -6 0.5 10.5 11 2 4 6 f(kHz) There are two ways to generate the VSB modulated signal: c) Obtain the VSB modulated signal, s(t), first finding mo(t) and using the definition s(t) = m(t) cos(2nft)-mo(t)sin (2nft) d) Obtain s(t), by getting the DSB modulated signal and then passing it through the BP filter H(f) obtained from Ho(f). e) Plot the magnitude spectrum of s(t). Hint: Recall that (W is signal bandwidth): H( )+H( +)=1, WW H()= j[H( f.)H(+)] W f W. -

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