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We present an improved algorithm for the detection of the received signal of a convolutionally encoded wireless MIMO system. The method is based on the BLAST (Bell Labs layered space-time) algorithm with successive interference cancellation. Compared to existing solutions, cancellation is done adaptively. The receiver uses a MAP soft output demapper combined with an iterative (turbo) decoder. Adaptive symbol cancellation is done using a threshold which takes the reliability of a symbol decision into account. Cancellations of wrongly decided symbols are reduced to a large extent. As a result, we obtain an SNR gain of 1 to 1.5 dB for Rayleigh fading MIMO channels with additive white Gaussian noise.