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We present a new approach to blind equalization for generalized orthogonal space-time block codes. Our method takes the form of linear programming (LP) and is globally convergent. We exploit the implicit structure of orthogonal space-time block codes to cast the problem as linear programming that can be solved efficiently. Unlike several known methods, the proposed technique is applicable to many full-rate orthogonal space time codes such as the popular Almouti code. Our algorithm allows receiver detection of full diversity codes without channel knowledge with detection performance comparable to the optimum maximum-likelihood (ML) detection.