Several Interference Cancellation (IC) schemes have been developed during this last decade for wireless networks to mitigate the effect of intra-network interferences, when each user is equipped with multiple antennas and employs Space Time Block Code (STBC) at transmission. However, these IC techniques all require multiple antennas at reception, which remains a challenge at the handset level due to cost and size limitations. In this context, the purpose of this paper is to develop Single Antenna IC (SAIC) techniques, and their Multiple antennas extensions (MAIC), to mitigate the effect of both intra-network and external interferences for users using both real-valued constellations, such as ASK constellations, and the Alamouti's scheme at transmission.