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To generate an angle-modulated signal, u(t), a message signal, m(t), is used to frequency modulate a carrier signal, c(t), where m(t) = 5cos⁡(20000πt) and c(t) = 100cos⁡(2πfct). If the peak-frequency deviation is 20 kHz and fc = 100 MHz, determine: (i) an expression for the frequency modulated signal, u(t); (ii) the modulation index, β, and the approximate bandwidth of the generated FM signal using Carson's rule; (iii) the amplitude of all signal components that have power level of at least 10% of the power of the unmodulated carrier component; (iv) the frequency of the signal components in c)(iii).

To generate an angle-modulated signal, u(t), a message signal, m(t), is used to frequency modulate a carrier signal, c(t), where m(t) = 5cos⁡(20000πt) and c(t) = 100cos⁡(2πfct). If the peak-frequency deviation is 20 kHz and fc = 100 MHz, determine: (i) an expression for the frequency modulated signal, u(t); (ii) the modulation index, β, and the approximate bandwidth of the generated FM signal using Carson's rule; (iii) the amplitude of all signal components that have power level of at least 10% of the power of the unmodulated carrier component; (iv) the frequency of the signal components in c)(iii).

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To generate an angle-modulated signal, u ( t ) , a message signal, m ( t ) , is used to frequency modulate a carrier signal, c ( t ) , where
m ( t ) = 5 cos ⁡ ( 20000 π t )
and
c ( t ) = 100 cos ⁡ ( 2 π f c t ) .
If the peak-frequency deviation is 20 k H z and f c = 100 M H z , determine: (i) an expression for the frequency modulated signal, u ( t ) ; (ii) the modulation index, β , and the approximate bandwidth of the generated FM signal using Carson's rule; (iii) the amplitude of all signal components that have power level of at least 10 % of the power of the unmodulated carrier component; (iv) the frequency of the signal components in c)(iii).

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