A novel pre-whitening transform domain LMS algorithm is proposed.

This pre-whitening is introduced before applying the transform to reinforce its decorrelation using a simple finite impulse response decorrelation filter of order one.

In adaptive speech denoising, the proposed algorithm outperforms the conventional algorithms for different transforms in terms of the computational complexity, mean square error convergence speed, reached steady state level, residual noise in the denoised signal, steady state excess mean square error, misadjustment and output SNR.