ECE405HW4Su2010 - ECE 405 HOMEWORK #4 SUMMER 2010 DR. JAMES...

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ECE 405 HOMEWORK #4 SUMMER 2010 ©DR. JAMES S. KANG 1 An angle-modulated wave is described by () 7 ( ) 50cos 2 10 6sin 2 5,000 EM mt t t ππ ⎡⎤ + × ⎣⎦ (a) If this is a PM wave with , what is the message ? 3 p k = (b) If this is an FM wave with 2 3000 f k π rad/s/V, what is the message ? 2 Assume that the maximum allocated transmission bandwidth of an FM transmitter is 220 kHz. Use Carson's rule to answer the following questions. (a) If 80 f kHz Δ= , what message bandwidth B would achieve the maximum allocated bandwidth? (b) If 20 B kHz = , what is the maximum frequency deviation that can be used? 3 An audio signal is bandlimited to 6 kHz. The peak value of the signal is 6 volt. This audio signal frequency modulates a carrier at 30 MHz. Determine the bandwidth of the modulated signal if the deviation constant of this modulation is 2 2000 f k = × . 4 A carrier of frequency 50 kHz is frequency-modulated with ( ) 6cos(2 1000 ) t = × and a modulation index of 9 is achieved. The unmodulated carrier power is 32 watts. (a) Determine the frequency deviation constant f k . (b) Determine the power on the sideband at 60 kHz. 5 Determine the instantaneous frequency of ( ) 6 ( ) 50cos 2 10 20 5sin 2 10 c t t t + + × 6 An angle modulated wave is described by the equation 7 ( )
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ECE405HW4Su2010 - ECE 405 HOMEWORK #4 SUMMER 2010 DR. JAMES...

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