资料介绍
chap_3Capacity of AWGN channelsChapter 3
Capacity of AWGN channels
In this chapter we prove that the capacity of an AWGN channel with bandwidth W and signal-tonoise ratio SNR is W log2 (1+SNR) bits per second (b/s). The proof that reliable transmission is possible at any rate less than capacity is based on Shannon’s random code ensemble, typical-set decoding, the Cherno-bound law of large numbers, and a fundamental result of large-deviation theory. We also sketch a geometric proof of the converse. Readers who are prepared to accept the channel capacity formula without proof may skip this chapter.
3.1
Outline of proof of the capacity theorem
The rst step in proving the channel capacity theorem or its converse is to use the results of Chapter 2 to replace a continuous-time AWGN channel model Y (t) = X (t) + N (t) wi
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