Resolution Time Theory in the Topic of Broadband Communications. Algorithm for Data Dependent Jitter and Capacity Estimations With Polynomial Time Execution

At present, due to the constant growth of the volume of transmitted information, more and more attention is paid to the issues of the possibility of increasing the transmission speed due to the use of the transmission mode "above the Nyquist rate". Despite the relevance of this research topic, due to rather large mathematical difficulties, it is difficult to obtain significant results. One of the theories that allows for a breakthrough is the rapidly developing theory of resolution time developed for phase radio engineering data transmission systems and information measuring optoelectronic systems with PAM-signals with square pulses. This paper presents a novel method for capacity and resolution time estimations with polynomial computational complexity that does not depend on the size of the channel alphabet of PAM-n-signals and is determined only by the effective memory value. The shape of pulse of PAM-n-signals has arbitrary form and amplitudes take only possitive values. The method also allows estimating the time limiting possible deviations due to the sampling error in time, at which the information about the channel symbol will be read error-free or with a given error probability.