Application of resolution time theory to the develop and performance estimation of broadband data transmission systems based on bipolar PAM-n signals under impaction of crosstalk

The paper presents a new algorithm with linear time complexity, which depends only on the effective channel memory and the number of crosstalk sources, for estimating the resolution time and capacity of a frequency-selective communication channel using a linear receiver and signals with duopolar multi-position pulse amplitude modulation. The main limitation of the presented method is that it can only be used for the case when the durations of channel symbols of the information and interfering signals are the same and the start times of their transmission coincide. From a practical point of view, this method can be used in the analysis of high-speed wired data transmission interfaces in which information is transmitted simultaneously and in parallel over several communication lines that are located sufficiently close to each other. The key features of this method are: 1) a constant number of equations equal to 1, required to be solved to estimate the largest settling time; 2) a linear dependence of the number of equation terms on the effective memory and the number of crosstalk sources; 3) a new, more accurate procedure for estimating the effective channel memory, which allows for simultaneous determination of the resolution time and low boundary capacity estimation; 4) new set of assessments that allows to estimate requirements for symbol synchronization subsystems; 5) new method for estimating the required minimum signal-to-noise ratio.