3. A sinusoidal message signal of amplitude 1 Volt and frequency 300 Hz is frequency modulated with kf = 500 Hz/V. The receiver FM demodulation model is shown in the figure below. There is an ideal band-pass filter (NOT baseband low-pass filter) passing 100|f|≤400 at the discriminator output. (a) Use Carson's rule to estimate the pre-detection bandwidth. (b) If the SNR at the receiver input is 500, calculate the output SNR. FM signal + s(t) Σ Band-pass Filter x(t) Limiter Noise w(t) v(t) Band-pass Output Discriminator Filter signal

Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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3.
A sinusoidal message signal of amplitude 1 Volt and frequency 300 Hz is frequency
modulated with kf = 500 Hz/V. The receiver FM demodulation model is shown in the
figure below. There is an ideal band-pass filter (NOT baseband low-pass filter) passing
100 ≤ |f| ≤ 400 at the discriminator output.
(a) Use Carson's rule to estimate the pre-detection bandwidth.
(b) If the SNR at the receiver input is 500, calculate the output SNR.
FM signal
s(t)
Σ
Band-pass
Filter
x(t)
Limiter
Noise
w(t)
v(t)
Discriminator
Band-pass
Filter
Output
signal
Transcribed Image Text:3. A sinusoidal message signal of amplitude 1 Volt and frequency 300 Hz is frequency modulated with kf = 500 Hz/V. The receiver FM demodulation model is shown in the figure below. There is an ideal band-pass filter (NOT baseband low-pass filter) passing 100 ≤ |f| ≤ 400 at the discriminator output. (a) Use Carson's rule to estimate the pre-detection bandwidth. (b) If the SNR at the receiver input is 500, calculate the output SNR. FM signal s(t) Σ Band-pass Filter x(t) Limiter Noise w(t) v(t) Discriminator Band-pass Filter Output signal
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