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An effective technique for interference cancellation in single-valued modulation is presented. The proposed technique is based on blind interference cancellation and adaptive signal processing filtering and it requires use of only one receive antenna element. The paper discusses the advantages of the proposed algorithm over other single antenna interference cancellation algorithms reported in the literature. The paper also presents governing equations for the proposed algorithm and the interference cancellation performance when the signal of interest is corrupted with a single dominant co-channel interferer or multiple interferers. The algorithm is evaluated for GSM GMSK modulated signals under several cases of radio channel fading and multipath profiles using computer simulation. The algorithm is shown to be suitable for terminal applications where algorithm complexity is a prime concern.