except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of the publication of trade names, trademarks, service marks, or similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.The 1-parameter ionospheric channel model that is based on estimating the ionospheric delay is insufficient to enable the GNSS receiver to reliably acquire and track GNSS signals under severe ionospheric conditions. In order to solve this problem Giftet Inc. is proposing the 4-parameter ionospheric model. The 4-parameter ionospheric model is based on estimating four parameters: ionospheric delay, Doppler, amplitude, and phase scintillation. The 4-parameter ionospheric model i presents a revolutionary advancement of our understanding of the ionospheric effects in the RF signals. In order to accurately estimate the ionospheric Doppler we have performed some of the most amazing mathematical calculations.Afterwards, the theory and simulation, presented in this paper, are completely verified and accurately tested, the implementation thereof in a single frequency GNSS receiver will enable it to perform just as good as or even better than a differential GNSS receiver.