SUMMARYIn this paper, an attempt has been made to provide an exposition of the results on interference suppression techniques developed at least over the last twenty years. Interference suppression/cancelling techniques have followed exactly the path of the field of wireless communications over the years. The decade of the 1980s concentrated on techniques applicable mainly to satellite communications whereas the decade of the 1990s concentrated on techniques that provided solutions to mobile communication interference/fading problems. This survey will point out and explain the most fundamental contributions, which opened new directions in the field of interference suppression, and undoubtedly will provide a basis for new researchers for further contributions.