The paper, which consists of two parts, presents a detailed consideration of the method proposed by the authors, which is discrete analysis of the mobility spectrum, and its application for studying the parameters of charge carriers in CdHgTe. The first part of the work is a brief review of the existing methods of the analysis of the magnetic field dependences of the Hall coefficient and conductivity in structures with a multi-carrier spectrum. The underlying principles of various methods are considered, including the original mobility spectrum analysis proposed by Beck and Anderson, the multi-carrier fitting, and the iterative method developed by Dziuba and Gorska, as well as more recent developments. The advantages, drawbacks, and limits of applicability of these methods are discussed.