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4. AM SNR Analysis (30 points) An AM signal has the following form: $x_{AM}(t) = (5 + \cos(2\pi f_m t) + 2\cos(8\pi f_m t))\cos(2\pi f_c t)$ where $f_m = 1$ KHz. (a) What is the modulation index for $x_{AM}(t)$? Note: $x_{AM}(t) = A_c[1 + a_m(t)]\cos(\omega_c t)$. (b) The signal is transmitted through AWGN channel, where the noise $n(t)$ has a power spectral density of $N_o/2 = 10^{-5}$ W/Hz. The block diagram of the receiver is shown below: (Diagram) Calculate the SNRs at the points marked with \"1\" and \"2\". (c) What can be done to improve the SNRs at the above points.

          4. AM SNR Analysis (30 points) An AM signal has the following form:
$x_{AM}(t) = (5 + \cos(2\pi f_m t) + 2\cos(8\pi f_m t))\cos(2\pi f_c t)$
where $f_m = 1$ KHz.
(a) What is the modulation index for $x_{AM}(t)$? Note: $x_{AM}(t) = A_c[1 + a_m(t)]\cos(\omega_c t)$.
(b) The signal is transmitted through AWGN channel, where the noise $n(t)$ has a power spectral density
of $N_o/2 = 10^{-5}$ W/Hz. The block diagram of the receiver is shown below:
(Diagram)
Calculate the SNRs at the points marked with \"1\" and \"2\".
(c) What can be done to improve the SNRs at the above points.

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4. AM SNR Analysis (30 points) An AM signal has the following form:
xAM(t) = (5 + cos(2π fm t) + 2cos(8π fm t))cos(2π fc t)
where fm = 1 KHz.
(a) What is the modulation index for xAM(t)? Note: xAM(t) = Ac[1 + am(t)]cos( t).
(b) The signal is transmitted through AWGN channel, where the noise n(t) has a power spectral density
of No/2 = 10^-5 W/Hz. The block diagram of the receiver is shown below:
(Diagram)
Calculate the SNRs at the points marked with 1̈änd 2̈.̈
(c) What can be done to improve the SNRs at the above points.

Added by Vincent C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Sri K

08/03/2023

Step 1

In this case, the message signal is (5 + cos(2πfmt) + 2cos(8πfmt)) and the carrier signal is cos(2πfet). The peak amplitude of the message signal can be found by taking the maximum value of the message signal. Since the message signal is a combination of a Show more…

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4. AM SNR Analysis (30 points) An AM signal has the following form: xAM(t) = (5 + cos(2πfmt) + 2cos(8πfmt))cos(2πfet) where f = 1 KHz. (a) What is the modulation index for xAM(t)? Note: x(t) = A[1 + mcos(θ)]cos(ωt) (b) The signal is transmitted through an AWGN channel, where the noise n(t) has a power spectral density of N0/2 = 10^-5 W/Hz. The block diagram of the receiver is shown below: AM(t) + n(t) WBPF = 10fN WLPF = 5fM Calculate the SNRs at the points marked with 1 and 2. (c) What can be done to improve the SNRs at the above points?

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