Analysis of Information Reconciliation in Secret Key Agreement from the AWGN Channel

We analyze the error performance of coding scheme that is found in the protocol for secret key agreement based on the Gaussian channel. The approach is regarded as the Slepian-Wolf coding or the source coding with side information at the decoder. One remarkable feature of the coding in the key agreement is that two parties may extract the set of reliable signals before Slepian-Wolf coding is performed. We derive a tight upper bound on the error probability of this coding scheme, which allows us to quantify the effect of signal extraction.