Differences in estimations of amplitude, phase and frequency for analytical and complex representations of Gaussian radio pulse

摘要

The exact expressions for Gaussian radio pulse representation as an analytical signal are obtained and the quantitative estimates of differences of amplitude, phase and frequency instantaneous values are obtained at the signal's complex and analytical representations. It is shown, that for narrow-band signal both representations practically are equivalent from the point of view of estimations of instantaneous values of amplitude, phase and frequency but for broadband signal - the differences can achieve the tens of percents.