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Given an FM modulated signal as XFM(t) = 100 cos⁡[2π(1000)t + ∅(t)] If the message signal entering the FM modulator is given by: m(t) = 5 cos⁡[2π(8)t], and the deviation constant fd = 8, Determine: a- The modulation index. b- The phase deviation ∅(t) c- The bandwidth according to Carson's rule. d- If a BPF filter is to be used at the output of the FM modulator with a transfer function H(f) as shown below, determine the power at the filter input and output terminals.

Given an FM modulated signal as XFM(t) = 100 cos⁡[2π(1000)t + ∅(t)] If the message signal entering the FM modulator is given by: m(t) = 5 cos⁡[2π(8)t], and the deviation constant fd = 8, Determine: a- The modulation index. b- The phase deviation ∅(t) c- The bandwidth according to Carson's rule. d- If a BPF filter is to be used at the output of the FM modulator with a transfer function H(f) as shown below, determine the power at the filter input and output terminals.

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Given an FM modulated signal as X F M ( t ) = 100 cos ⁡ [ 2 π ( 1000 ) t + ∅ ( t ) ] If the message signal entering the FM modulator is given by: m ( t ) = 5 cos ⁡ [ 2 π ( 8 ) t ] , and the deviation constant f d = 8 , Determine: a- The modulation index. b- The phase deviation ∅ ( t ) c- The bandwidth according to Carson's rule. d- If a BPF filter is to be used at the output of the FM modulator with a transfer function H ( f ) as shown below, determine the power at the filter input and output terminals.

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