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A new rapidly-converging constant modulus algorithm is presented, analyzed, and demonstrated for a two-sensor array. The algorithm is shown to be globally stable and convergent for any linearly-independent set of input data. The algorithm is also shown to converge significantly (10 to 100 times) faster than the conventional CMA, with negligible (< 1 dB.) convergent misadjustment, in the presence of moderate and severe co-channel interference.