Figure-1 shows a periodic signal x(t) that has maximum and minimum amplitudes of 1 and -1...

 

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Figure-1 shows a periodic signal x(t) that has maximum and minimum amplitudes of 1 and -1 respectively. Figure-2 shows the spectrum of x(t). Consider the FM constant K, = 2n105 and a carrier frequency Fe = 100 MHz. a) (1 pt) Write the equation of the FM signal for the message x(t). b) (2 pt) Sketch the FM signal with time. c) (2 pt) What is the maximum phase deviation and frequency deviation of the FM signal? d) (2 pt) Find the FM bandwidth using Carson rule. e) (4 pt) Show that the block diagram in Figure-2 (page-7) is an FM demodulator (i.e.z(t) x x(t)). Then modify the circuit to be a PM demodulator. x(t) 1 -1 10-10- Figure 1 *** t(sec) Spectrum Magnitude 09 08 07 06 05 04 03 02 01 0 -1 -08 -06 04 F 0 02 frequency (Hz) -02 IX (f)1 Figure 2 04 06 08 X 10⁰ Figure-1 shows a periodic signal x(t) that has maximum and minimum amplitudes of 1 and -1 respectively. Figure-2 shows the spectrum of x(t). Consider the FM constant K, = 2n105 and a carrier frequency Fe = 100 MHz. a) (1 pt) Write the equation of the FM signal for the message x(t). b) (2 pt) Sketch the FM signal with time. c) (2 pt) What is the maximum phase deviation and frequency deviation of the FM signal? d) (2 pt) Find the FM bandwidth using Carson rule. e) (4 pt) Show that the block diagram in Figure-2 (page-7) is an FM demodulator (i.e.z(t) x x(t)). Then modify the circuit to be a PM demodulator. x(t) 1 -1 10-10- Figure 1 *** t(sec) Spectrum Magnitude 09 08 07 06 05 04 03 02 01 0 -1 -08 -06 04 F 0 02 frequency (Hz) -02 IX (f)1 Figure 2 04 06 08 X 10⁰

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The equation of the FM signal for the ness x l... View the full answer