An equalizer corrects cross-polarization distortion which occurs between two series of digital signals which are transmitted on individually associated ones of two mutually orthogonal cross-polarized waves. The distortion is corrected when a circuit discriminates between the two series of digital signals and gives an output signal which represents a value judgment as to the amount of distortion which has occurred. The output signal serves as an address for selecting one of many memory element circuits, each element circuit having a predetermined value stored therein. The value stored in the selected memory element circuit is subtracted from one series of the digital signals. The idea is that, during transmission, something (e.g., raindrops) transfers energy from one to the other of the cross-polarized waves. The equalizer circuit passes judgment as to how much energy has been transferred, and then subtracts that amount of energy in order to return to the original signal. The circuit also corrects for rotation of the two mutual orthogonal waves about their common axis.