Digital Communications System : Ideal Communication System

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naspek
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Hey there.. Got couple of questions that i hope u guys can help clarify my answer..

1)Is it possible to design system with infinite signal to noise ratio SNR at the output when the noise is introduced by the channel?

answer:No, because as long as there is noise at the channel. formula SNR = S/N

2)Is it possible to invent a system with arbitrarily low bit error rate (BER) at the receiver
in the presence of channel noise?

answer:Yes, by decreasing number of errors and increasing total transmitted bits.
formula BER = number of errors / total transmitted bits
 
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sounds right to me except the part about decreasing the number of errors, which is not always possible so you HAVE to increase the # of transmitted bits enough to make up for it.