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In this paper we present a low-complexity version of perceptually constrained signal subspace method (PCSS) for speech enhancement. An approximate solution is presented in a new form which provides perceptually optimal residual noise shaping. The proposed approach does not require a whitening transformation and is sub-optimal for coloured noise. A comparative evaluation of selected methods is performed using objective speech quality measures and informal listening tests. The results show that the approximate method outperforms conventional one and gives comparable results as the exact solution in common situations.