To solve the problem of adaptive correction for dispersion distortions of the characteristics of a wideband transionospheric channel, we developed a method of diagnosing frequency dispersion parameters using satellite data on the total electron content (TEC) of the ionosphere developed. It also considers TEC measurement stochastic error. For this reason, we performed an analysis of the limitation of the communication signal bandwidth for the case of dispersion correction with an error. It was found that the TEC measurement error that typically exists in practice allows us to spread signal bandwidth by up to three times.