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Channel Capacity with BPSK

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channel capacity bpsk

capacity formula

C=log(1+SNR)

is valid when input symbols have gussian distribution (please correct me if I am wrong)

but when input symbols are not gaussian distributed but are uniformly distributed binary symbols than how to find out the capacity for it ??

please recommend me some references ..
 

channel capacity for bpsk

You are talking about Discrete Input and Contiuous Output channel, go through Proakis chapter 7.
 

    U

    urwelcome

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bpsk capacity

Hi urwelcome, To be honest I dont know the exact answer for your question but to me the formula C=B*log(1+SNR) gives only an upper limit. It is not directly related with Gaussian. Yes it is calculated by assuming a gaussian distribution and I hope you somehow can calculate it for other distributions but in fact it says: the highest Rate that you can achieve using a communication system is C=B*log(1+SNR) whether it is gaussian distributed or not.
 

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    urwelcome

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bpsk channel capacity

May be this constitutes an answer:

Like you have said, capacity is achieved when input to the AWGN channel is gaussian distributed. Thus, when input in not gaussian, capacity is NOT achieved. So the question on what is the capacity when input is equi-probable binary is incorrect, AFAIK.

You can only say that with this binary signalling scheme, you chose to operate the channel with a rate lower than capacity.
-b
 

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