Mathematical processing of the signal in the track circuit for determining the location of the rolling stock

The article considers the issues of determining the location of rolling stock on the section of the railway track. Application of mathematical apparatus of conformal mappings is proposed and justified. Principle of conformal transformations of track circuit signal into the coordinate of place of superposition of the shunt is disclosed. Visualization of conformal transformations is presented using the example of a 420 Hz track circuit. The rules for determining the coordinate of the place of superposition of the shunt is well-phrased. Factors affecting the accuracy of determining the location of rolling stock on the section of the railway track have been determined.