Figure 2 shows an FM discriminator where the envelope detector is ideal. The discriminator is to demodulate an FM signal

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Figure 2 Shows An Fm Discriminator Where The Envelope Detector Is Ideal The Discriminator Is To Demodulate An Fm Signal 1 (169.82 KiB) Viewed 67 times

Figure 2 shows an FM discriminator where the envelope detector is ideal. The discriminator is to demodulate an FM signal with fe = 80 MHz, and a peak frequency deviation of 6 MHz. HE u(t) 10 ΚΩ Envelope detector m(t) Figure 2: The FM discriminator. The transfer function of the FM discriminator, i.e. the circuit at the input of the envelope detector (Figure 2) is given as (R/L)s H(s) $2 + (R/L)s + (1/LC) In order for this discriminator with the transfer function given above to be used as a slope detector to demodulate the FM signal, the values of L and C must be chosen according to the following system of equations 4(f107)2 + (50000/L)21 f10(1 – 0.12)1/2 – (1/LC) = 0 4(1907)2 + (50000/L)27 f90(1 – 0.92)1/2 – (1/LC) = 0 where the frequencies are fio = 74 MHz and f90 = 86 MHz. First write a MATLAB program that solves the given system of equations for L and C. Then write another MATLAB program that plots the magnitude of |H(s) for L = 14.98 mH and C = 0.018013 pF.