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Why is differential encoded signal is 3db inferior to normal signal?

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iVenky

iVenky

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All differential encoded signal are received using non coherent demodulation. Other normal signals are detected using coherent demodulation. My books says "The differential encoded signal has a larger BER compared to normal signals and it's inferior to it by an amount of 3db". Why is differential encoded signals having a larger probability of error or greater chance of getting corrupted?

Thanks in advance.
 

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