Question

The spectrum in the range (550 to 1650) kHz is allocated for AM radio broadcasting and the spectrum is shared for different AM radio stations using frequency division multiplexing (FDM). If the message signal of each AM radio station is band-limited to 5 kHz then the maximum number of different AM radio stations that can be enjoyed by a listener will be equal to

• A. 11
• B. 110
• C. 55
• D. 220

Answer 1

The correct option is B 110

Given that, $f_{m(max)}=5kHz$

Bandwidth required for each AM radio station is,

${\left(BW\right)}_{AM}=2f_{m(max)}=10kHz$

Total spectrum bandwidth available is,

${\left(BW\right)}_{Total}=1650-500=1100kHz$

Total number of AM radio stations possible is

$N=\frac{1100kHz}{10kHz}=110$