Question

The DSB-SC modulated signal is given as u(t) = 100m(t) cos(2πfct) and the carrier frequency is 1MHz. The message sign is m(t) = 2cos(2000πt) + cos(6000πt). a) Write the general statement of the DSB-SC signal. Write the time domain expression of the modulated signal. b) Write the frequency domain expression of the DSB-SC signal. c) Draw the spectrum of the DSB-SC signal. d) Calculate the average power in the frequency components separately.

Name: the dsb sc modulated signal is given as u t 100m t cos2fct and the carrier frequency is 1mhz the message sign is m t 2cos2000 t cos6000 t a write the general statement of the dsb sc signal w 87784
Uploaded: 2023-07-05T06:17:32-08:00
Duration: 2 min 40 s
Channel: Adi S
Description: the dsb sc modulated signal is given as u t 100m t cos2fct and the carrier frequency is 1mhz the message sign is m t 2cos2000 t cos6000 t a write the general statement of the dsb sc signal w 87784

          The DSB-SC modulated signal is given as u(t) = 100m(t) cos(2πfct) and the carrier frequency is 1MHz. The message sign is m(t) = 2cos(2000πt) + cos(6000πt).
a) Write the general statement of the DSB-SC signal. Write the time domain expression of the modulated signal.
b) Write the frequency domain expression of the DSB-SC signal.
c) Draw the spectrum of the DSB-SC signal.
d) Calculate the average power in the frequency components separately.

Added by Nichole H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

07/05/2023

Step 1

In this case, we have: Ac = 100 m(t) = 2cos(2000πt) + cos(6000πt) fc = 1MHz Substituting these values, we get: u(t) = 100 [2cos(2000πt) + cos(6000πt)] cos(2π1MHzt) Expanding this expression using the trigonometric identity cos(A)cos(B) = 1/2[cos(A+B) + Show more…

Show all steps

Thanks for your feedback!

The DSB-SC modulated signal is given as u(t) = 100m(t) cos(2πfct) and the carrier frequency is 1MHz. The message sign is m(t) = 2cos(2000πt) + cos(6000πt). a) Write the general statement of the DSB-SC signal. Write the time domain expression of the modulated signal. b) Write the frequency domain expression of the DSB-SC signal. c) Draw the spectrum of the DSB-SC signal. d) Calculate the average power in the frequency components separately.