Full duplex hands-free man/machine interface often suffers from directional non-stationary interference (such as a competing speaker or an echo signal) as well as a stationary interference (which may comprise both directional and non-directional signals). We propose a new structure for handling both interferences, based on the transfer-function generalized sidelobe canceller (TF-GSC). As in the standard GSC structure, it contains three blocks: a matched-TF beamformer (MTFBF), a blocking matrix and a multi-channel noise canceller. The blocking matrix is designed to block both the desired and the competing speech signals. The MTFBF is designed to block the competing speech signal, while maintaining the desired signal arriving from the direction of interest. The multi-channel noise canceller is used to mitigate the remaining noise in the MTFBF output. The performance of the proposed algorithm is evaluated through a series of simulations, in reverberant environments. This structure is sho...