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Problem 9.11 Derive an expression for the post-detection signal-to-noise ratio of the coherent receiver of Fig. 9.6, assuming that the modulated signal s0) is produced by sinusoidal modulating wave m(1)-A, cos(2p.J) Perform your calculation for the following two receiver types: (a) Coherent DSB-SC receiver (b) Coherent SSB receiver. Assume the message bandwidth is f. Evaluate these expressions-r the received signal strength is 100 picowatts, the noise spectral density is 10s watts per hertz, and f. is 3 kHz. -15 Solution (a) The post-detection SNR of the DSB detector is (b) The post-detection SNR of the SSB detector is Although the SNR of the SSB system is half of the DSB-SC SNR, note that the SSB system only transmits half as much power.
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