High School

The Canadian regulatory body, the Canadian Radio-television and Telecommunications Commission (CRTC), assigns a local FM radio station a total of 100 kHz of bandwidth instead of the usual 200 kHz. The station decides to set the maximum value of the message signal to 3.5 V. The message signal is bandlimited to 15 kHz.

(a) In units of kHz/V, what is the maximum frequency sensitivity factor that Carson would recommend?

(b) If the carrier frequency is [tex]$f_c = 99.3 \text{ MHz}$[/tex], and assuming that Carson's rule is sufficiently accurate, what frequency range would the transmitted signal occupy?

Answer :

The frequency range of the transmitted signal is 99.1167 MHz to 99.4833 MHz

(a) The maximum frequency sensitivity factor that Carson would recommend is given by:

Code snippet

fm = 2 * bandwidth / message_bandwidth

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Code snippet

fm = 2 * 100 kHz / 15 kHz = 13.33 kHz/V

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(b) The frequency range of the transmitted signal is given by:

Code snippet

f_lower = fc - fm * message_bandwidth

f_upper = fc + fm * message_bandwidth

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Code snippet

f_lower = 99.3 MHz - 13.33 kHz/V * 15 kHz = 99.1167 MHz

f_upper = 99.3 MHz + 13.33 kHz/V * 15 kHz = 99.4833 MHz

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Know more about frequency range here:

https://brainly.com/question/32810550

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