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This paper presents a new blind adaptive channel equalizer, which is based on two well-defined cost functions, the constant modulus algorithm (CMA)  and the alphabet- matched algorithm (AMA) . The equalizer takes into account both the amplitude and the phase of the equalizer output and is adaptive based on the received channel data. The new equalization scheme presented here is compared to the multimodulus algorithm (MMA), which has been proposed in [3,4] as an improved equalizer for non-constant modulus signals, such as QAM. It is shown to provide better performance than the MMA in terms of both average mean- squared error (MSE) and average symbol error rate (SER) for the channels tested.