A PM system operates with a transmitter power of 10 kW and a message signal bandwidth of

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A PM system operates with a transmitter power of 10 kW and a message signal bandwidth of 10 kHz. The phase modulation constant is π radians per unit input. The normalized message signal has a standard deviation of 0.4. Determine the channel noise PSD that results in a post detection SNR of 30 dB.

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