A new order recursive multiple order multichannel fast QRD-RLS algorithm

In many adaptive filtering applications, such as in the case of the Volterra filters, the use of channels of unequal orders is common. This paper introduces a new multichannel fast QRD-RLS algorithm based on the updating of a posteriori backward errors that attains both cases of channels of equal or unequal orders. This new algorithm exhibits good numerical behavior and is order recursive, which allows a systolic array implementation with lower computational complexity compared to earlier proposed algorithms.