Question

I am stuck with the problem of finding the average input power(dun know how to find bar x(t)^2), with the formula below. Please help me and finish the question, and also in part b, the FM problem(how to find Pr). Thx.

SNR3p SNR,-β2 for FM for FM

Question 2 A communication channel has 20-dB attenuation and additive white Gaussian noise with power spectral density of 3x103 WHz. The bandwidth of the message signal is 2 MHz and its amplitude is uniformly distributed in the interval [-2 2]. If we require that the signal-to-noise ratio (SNR) after demodulation be at least 40 dB, determine the minimunm required transmitter power, and the minimum carrier amplitude at the transmitter, when the message signal is modulated in the following formats: (a) Conventional AM (DSB-LC) with a modulation index of 0.8. (b) Frequency modulation with peak frequency deviation of 3 MHz.

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