(a) Determine the corresponding local oscillator frequency (fLo) and the image frequency (fimage), under the condition that fLO < 1.5 MHz. (b) Explain briefly why the image signal cannot be eliminated at the output of the IF filter even if the IF filter is ideal with the bandwidth of 10 kHz. (c) The frequency response of the RF filter, HRF(f), is given by 1 -{₁ HRF(f) = 0.01 1495 kHz ≤ f ≤ 1505 kHz elsewhere (1) Assuming that the tuned AM signal (p(t)) and the image signal have the same power at the input of the receiver, determine the ratio of image signal power to the tuned AM signal power at the output of the IF filter.

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11. Superheterodyne Receiver Analysis
Consider a superheterodyne receiver designed to receive AM broadcast signals.
RF Stage
fLO
Local ocillator
IF Stage
The intermediate frequency (IF) is set to 455 kHz. The receiver is tuned to an AM signal, (t),
with the carrier frequency (fe) of 1.5 MHz and bandwidth of 10kHz.
(a) Determine the corresponding local oscillator frequency (fLo) and the image frequency
(fimage), under the condition that fLO < 1.5 MHz.
HRF(f) =
(b) Explain briefly why the image signal cannot be eliminated at the output of the IF filter
even if the IF filter is ideal with the bandwidth of 10 kHz.
(c) The frequency response of the RF filter, HRF (f), is given by
{
1
AM
Demodulator
0.01
1495 kHz≤ f ≤ 1505 kHz
elsewhere
(1)
Assuming that the tuned AM signal (p(t)) and the image signal have the same power at
the input of the receiver, determine the ratio of image signal power to the tuned AM signal
power at the output of the IF filter.
Transcribed Image Text:11. Superheterodyne Receiver Analysis Consider a superheterodyne receiver designed to receive AM broadcast signals. RF Stage fLO Local ocillator IF Stage The intermediate frequency (IF) is set to 455 kHz. The receiver is tuned to an AM signal, (t), with the carrier frequency (fe) of 1.5 MHz and bandwidth of 10kHz. (a) Determine the corresponding local oscillator frequency (fLo) and the image frequency (fimage), under the condition that fLO < 1.5 MHz. HRF(f) = (b) Explain briefly why the image signal cannot be eliminated at the output of the IF filter even if the IF filter is ideal with the bandwidth of 10 kHz. (c) The frequency response of the RF filter, HRF (f), is given by { 1 AM Demodulator 0.01 1495 kHz≤ f ≤ 1505 kHz elsewhere (1) Assuming that the tuned AM signal (p(t)) and the image signal have the same power at the input of the receiver, determine the ratio of image signal power to the tuned AM signal power at the output of the IF filter.
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