A novel band partitioned noise cancellation method and device is disclosed. In the invention, in which main and auxiliary channel data is transformed to the frequency domain by FFT's and then associated by frequency subbands. The noise is then cancelled using a sequence of operations including a commutating Gram-Schmidt canceller, an equivalent linear weight calculator, formation of a weight matrix, conversion of the weights to time domain by an inverse FFT and rotation of the weights. The weights are then combined with the main and auxiliary channel data in a transversal filter network to produce a noise-cancellation residue.