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# Answer to Question #190191 in Electrical Engineering for Yara

Question #190191

Question 4:

A modulating signal m(t) = 0.8cos(200π t) is used to modulate a carrier signal givenby:c(t)=10cos(2π fct) fc >>100Hz

(a) Find the peak power of DSB and conventional AM signals

(b) Obtain the average power for DSB and conventional AM signals

1
2021-05-31T06:20:25-0400

Modulating signal (or) message signal

"m(t)=2cos(4000\\pi t)+5cos(6000\\pi t)"

"Carrier\\space signal, c(t)=100cos(2\\pi f_c t)"

"Given\\space f_c=50k\\space Hz"

"Am_1=2 \\space Am_2=5 \\space Ac=100 \\space fm_1=2kHz \\space fm_2=3kHz \\space f_c=50kHz"

a) Conventional Am

"Message\\space signal\\space form\\space m(t)=Am\\space cos(2\\pi f_mt)"

"Total\\space modulation\\space index\\space \\mu_t=\\sqrt{\\mu_1^2+\\mu_2^2}"

"\\mu_1=\\frac{Am_1}{Ac}\\space \\mu_2=\\frac{Am_2}{Ac}\\space"

"\\mu_1=\\frac{2}{100} \\space \\mu_2=\\frac{5}{100}"

"\\mu_t=\\sqrt{(0.02)^2+(0.05)^2}=0.05"

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