The Vector Space Formulation of the Rain Crosspolarization Problem and Its Compensations

The rain crosspolarization problem is formulated in a vector space. In this formulation signals are vectors, and the crosspolarization effect is an operator. The compensators currently designed for satellite communications become the inverse operator approach in this formulation. A new approach using eigenvectors is developed. The result indicates that use of two orthogonal linear polarizations and a rotation of their directions can eliminate the crosspolatization. A feedback loop can be used to control the rotation angle, and only one control variable is sufficient. Even if no satellite applications have been found, good potential in terrestrial systems is expected.