A carrier of amplitude 1 mv is 50% amplitude modulated by a sinusoidal waveform of frequency fx < 1000 Hz. The signal is accompanied by thermal noise of two-sided spectral density n/2 = 10-¹2 watt/Hz. The signal plus noise is passed through a predetection filter having the response shown in Figure 7.19. The signal is demodulated by multi- plication with a local carrier of amplitude 2 volts and filtering the product with an ideal lowpass filter having a bandwidth of 1 kHz. (a) Find the output signal power. (b) Find the output noise power. (c) Find (S/N) at the demodulator input and (S/N)d.
A carrier of amplitude 1 mv is 50% amplitude modulated by a sinusoidal waveform of frequency fx < 1000 Hz. The signal is accompanied by thermal noise of two-sided spectral density n/2 = 10-¹2 watt/Hz. The signal plus noise is passed through a predetection filter having the response shown in Figure 7.19. The signal is demodulated by multi- plication with a local carrier of amplitude 2 volts and filtering the product with an ideal lowpass filter having a bandwidth of 1 kHz. (a) Find the output signal power. (b) Find the output noise power. (c) Find (S/N) at the demodulator input and (S/N)d.
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Transcribed Image Text:7.10. A carrier of amplitude 1 mv is 50% amplitude modulated by a sinusoidal
waveform of frequency fx < 1000 Hz. The signal is accompanied by
thermal noise of two-sided spectral density n/2 = 10-¹2 watt/Hz. The
signal plus noise is passed through a predetection filter having the
response shown in Figure 7.19. The signal is demodulated by multi-
plication with a local carrier of amplitude 2 volts and filtering the
product with an ideal lowpass filter having a bandwidth of 1 kHz.
(a) Find the output signal power.
(b) Find the output noise power.
(c) Find (S/N) at the demodulator input and (S/N)d.
2000
-fe-1500 fe -fe + 1500
HR(f)
0
2000
fe-1500 fe
Figure 7.19 Predetection filter for Problem 7.10.
fe + 1500
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