As we learned in class, we have an Armstrong indirect FM transmitter shown in Figure 2. According to the input of a frequency multiplier x(t)=A_(c)cos[2 pi f_(0)t+ phi (t)], we obtain the final output x_(c)(t) with f_(0)=100kHz. Suppose we also have the peak frequency deviation of phi (t) is f_(d1)=100Hz, the deviation ratio at the output of the n solutionspile.com

Question

As we learned in class, we have an Armstrong indirect FM transmitter shown in Figure 2. According to the input of a frequency multiplier

x(t)=A_(c)cos[2\pi f_(0)t+\phi (t)]

, we obtain the final output

x_(c)(t)

with

f_(0)=100kHz

. Suppose we also have the peak frequency deviation of

\phi (t)

is

f_(d1)=100Hz

, the deviation ratio at the output of the narrowband FM modulator is

D_(1)=0.1

. The wideband output

x_(c)(t)

is to have a carrier frequency

f_(c)=100MHz

and a deviation ratio

D_(2)=2

. Suppose

A_(c)

to be a constant. (a) (5 pts) What is the bandwidth

W

of

\phi (t)

? (b) (15 pts) Assume that the input of the block "Bandpass filter" is

e(t)

, please give all the possible expressions of

e(t)

. (c) (5 pts) What is the bandwidth

B

of the "Bandpass filter"? (d) (5 pts) What is the center frequency of the "Bandpass filter"?

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