Full-Duplex has been emerged in Cognitive Radio Network in order to avoid the silence period of the Secondary User (SU) during the Spectrum Sensing. SU should monitor the Primary User (PU) activities in order to avoid any harmful interference. The conventional Full-Duplex Cognitive Radio (FDCR) systems are based on the Self-Interference Cancellation, where a problem of Residual Self-Interference and Hardware Imperfections leads to an important loss in the detection performance. In this paper, we develop spectrum sensing techniques for FD-CR based on the Blind Source Separation (BSS). In BSS, multi receiving antennas are required to detect the presence of the Primary User (PU) signal without the need for a silence period during the spectrum sensing. This fact enhances the data rate of the SU. In addition, this algorithms do not require any priori knowledge about the SU or the PU signal. Experimental results show that in addition to eliminating the silence period, the performance of our developed algorithms based on BSS outperforms the classical spectrum sensing Energy Detector (ED).