Abstract: In the calibration of a vector demodulator, a statistical approach is used for the analysis and correction of received data. The magnitude of each vector, defined by an (I,Q) pair in a received data signal, is examined. If each measured magnitude has a predetermined value, calibration is not necessary. However, if the vector magnitudes differ from this value, a number of samples of the data signal are used to define a linearly transformed circle. The transformation parameters of this model are then calculated, for example using a least squares analysis. These parameters are related to the system errors to be corrected, and hence can be used to determine calibration factors which are employed to adjust the received information and produce actual data values.