A system is proposed in order to split a multi-dimensional signal into N sub-bands, which are then subsampled by N. Subsequent upsampling and filtering allows the recovery of the original signal. Main features are a good bandpass characteristic of the channels, automatic aliasing cancellation and spectral invariance of the overall system. The one dimensional case, known as the quadrature mirrir filter (QMF, [1]), is generalized for both the separable and the non-separable case. A parallel implementation, based on pseudo-QMF filters, is presented as an efficient way to split a signal into equal sub-bands.