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Dual of Channel Capacity Theorem

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hrhgroup

hrhgroup

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Dear friends

In Cover & Thomas book, it is said that the dual of channel capacity theorem (R<C) or data transmision is data comprestion (R>H), but I am confusing that what is the definition of R (code rate) in Data Compression and also how can I prove that?
Is the definitio of R in Data compres. the same as the defin. of R in channel capacity?
In channel coding, R=logM/n if the code is (M,n) M source letter of length n. What is R in source coding?

Thanks
 

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