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We are interested in blind equalization of time reversal based space-time block codes for frequency selective channels. By exploiting the algebraic property of the space-time coding structure and underlying constant modulus property of the transmitted source, a new blind equalization algorithm is proposed for a single user system. To accommodate multiple users in the system, an additional cross-correlation penalty is introduced in the cost function to prevent repeated retrieval of the same source. The global convergence of the newly proposed algorithm is supported by analyses and simulation studies.