SUMMARYIn this work we consider the problem of blind channel estimation for the downlink of a variable spreading gain (VSG) multi-rate code-division-multiple-access (MR CDMA) system which uses the orthogonal space-time block coding (STBC) proposed by Alamouti. In contrast to traditional symbol-level STBC CDMA systems, we consider a chip-level ST block coding system for which we derive a simple subspace-based blind channel estimation method. For the derived algorithm we investigate the necessary and sufficient conditions for the channel to be uniquely identifiable up to a complex multiplicative constant. We also analyse the behaviour of the channel estimation algorithm as a function of the data samples utilised, establishing its unbiasedness and providing a closed-form expression for the mean-square-error (MSE) as well as the Cramer-Rao bound (CRB) for the channel estimation performance.