Error Probabilities in Data System Pulse Regenerator with DC Restoration
Paul Zador · Bell System Technical Journal · 1966
Consider a noisy channel which acts as a high-pass filter on the pulses used for transmitting digital data in binary form. To combat the degradation of information in the channel, the pulses are detected and regenerated at certain points with the aid of a binary pulse regenerator with dc restoration. This device achieves complete restoration in the absence of noise. In this paper, we give a procedure for evaluating the limiting probabilities (after lengthy operation) of error patterns for a single dc restorer in the presence of independent, additive noise. The procedure is based on the observation that for the particular restorer in question, the effective noise in the restorer is the sum of the present noise and the accumulated noise. The latter may be described by a Markovian process.