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Magnetic particle imaging (MPI) uses orthogonal receive coils aligned with the drive-field coil directions for signal detection. In case of misaligned receive coils, the particle magnetization couples differently into the receive coils such that a re-calibration involving the measurement of a new system function would be necessary. In this work, we propose a method for decoupling the channels algorithmically into the drive-field coil directions using an MPI transfer function matrix. In that way, system functions for different receive coil units can be reused.