Figure 5

Decay of serial bit correlations for both protocols. The dashed green line represents the case where \(C(t)= 1/Z \sum_{i=1}^{Z} X_{i} X_{i+t}=0.5\). Protocol 1 (with \(M=0\)) has exponentially decaying correlations present in the output bitstream that decays close to 0.5, based on the bias. Protocol 2 has a short-term correlation of length L (here \(L=5\)). An uptick at the 5th serial bit is seen for protocol 2, as the times above threshold remain correlated, although, as shown, this correlation decays faster than that of protocol 1. Due to the larger biases present in protocol 2, it can also be seen that the autocorrelation does not decay as close to 0.5 as that of protocol 1