On the use of 2D analytic signals for Wigner analysis of 2D real signals

Several possibilities of reducing the troublesome interference terms in the Wigner distributions (WD) of 2D real signals by using different 2D analytic signals are investigated. The results show that interferences between positive and negative spatial frequencies can always be largely reduced by using a 2D analytic signal, without any loss of information, but that the use of any 2D analytic signal does not eliminate all types of interference. It is demonstrated that various kinds of interference exist and that their efficient reduction depends on the appropriate choice of different 2D analytic signals. The appropriate choice of a 2D analytic signal depends on the concrete 2D real signals spectral characteristics