QUESTION 38

1. Given the following message, m(t), carrier, c(t), and Kvco=3500(Hz/v), determine the FM modulated signal equation and FM index. m(t)=3cos(2π3500t), c(t)=4.5cos(2π4MHzt).

a. s(t)=4.5cos(2π4E6t + 3sin(2π3500t)), β=3

b. s(t)=4.5cos(2π3500t + 3.5sin(2π4E6t)), β=3.5

c. s(t)=3cos(2π3500t + 4sin(2π4000t)), β=4

d. s(t)=3cos(2π4,000,000t + 4.5sin(2π3500t)), β=4.5

10 points  

QUESTION 39

1. Given the following FM modulated signal equation, determine the original message equation, m(t). 
2. s(t)=3 cos(2π13E9t + 1.04sin(2π13E3t)), Kvco=4500 (Hz/v)

a. m(t)= 3cos(2π13E9t)

b. m(t)= 1.04cos(2π13E3t)

c. m(t)= 1.04cos(2π13E9t)

d. m(t)= 3cos(2π13E3t)

10 points  

QUESTION 40

1. Given the following FM modulated signal equation, determine the frequency bandwidth. s(t)=3cos(2π13E9t + 1.04sin(2π13E3t))

a. 20kHz

b. 44kHz

c. 53 kHz

d. 106 kHz

10 points  

QUESTION 41

1. Given the following message, m(t), carrier, c(t), and Kp=0.25(rad/v), determine the PM modulated signal equation and PM index. m(t)=3cos(2π3500t), c(t)=4.5cos(2π4MHzt).

a. s(t)=4.5cos(2π4E6t + 0.75cos(2π3500t)), µPM=0.75

b. s(t)=4.5cos(2π3500t + 0.75cos(2π4E6t)), µPM=0.25

c. s(t)=3cos(2π4E6t + 0.75cos(2π3500t)), µPM=0.75

d. s(t)=3cos(2π3500t + 0.75cos(2π4E6t)), µPM=0.25

10 points  

QUESTION 42

1. Given the following PM modulated signal equation, determine the original message equation, m(t). 

s(t)=4.4cos(2π2.4E9t + 0.99cos(2π5E3t)), Kp=0.33 (Hz/v)

a. m(t)= 4.4cos(2π5000t)

b. m(t)= 4.4cos(2π2.4E9t)

c. m(t)= 3cos(2π5000t)

d. m(t)= 3cos(2π2.4E9t)

10 points  

QUESTION 43

1. Given the following PM modulated signal equation, determine the frequency bandwidth. s(t)=3cos(2π13E9t + 2cos(2π13E3t))

a. 22kHz

b. 40kHz

c. 78 kHz

d. 116 kHz