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A message is transmitted at bit rate of 9.6 kb/s using a direct sequence spread-spectrum system. The clock rate of the code sequence is 512 Mb/s. The receiver reference carrier is off by 12 degrees and the code synchronization error is 30%. The one-sided noise density (N0) at the receiver input is 10−18 W/Hz. The received signal power is 2.3×10−14 W. i. Find the signal-to-noise ratio at receiver output (SNR)0 in dB ii. What is the maximum obtainable (SNR)0 in dB? iii. Find the synchronization error that would reduce (SNR)0 by 1.5 dB when carrier phase coherence has been achieved.

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