Intersymbol Interference Due to Repeated Use of a Time-Continuous Gaussian Channel

摘要

The effect on error probability of intersymbol interference due to repeated use of a time-continuous Gaussian channel is examined. The model is one in which the output is the sum of a frequency and power constrained input and a sample function of a Gaussian noise process. Because of memory in the filter, past inputs affect the present output giving rise to interference. It is shown that the interference is an additional input whose reproducing kernel Hilbert space norm is upper bounded by a function that converges to zero with increasing block length. The effect of the interference on the probability of error can be measured in terms of the effect of this norm on the error bound exponent. The exponent of the probability of error upper bound depends on the difference between the norm bound and the error exponent without interference and thus interference is negligible when the block length is large enough. (Author)