A pair of multichannel recursive least squares (RLS) adaptive lattice algorithms based on the order recursive properties of lattice filters and the superior numerical properties of the Givens algorithms is derived. The derivation of the first algorithm is based on the QR decomposition of the input data matrix directly, and Givens rotations approach is used to compute the QR decomposition. Using first a prerotation of the input data matrix and then a repetition of the single channel Givens lattice algorithm, the second algorithm can be obtained. Both algorithms have superior numerical properties, particularly the robustness to wordlength limitations. The parameter vector to be estimated can be extracted directly from internal variables in the present algorithms without a backsolve operation with an extra triangular array. The results of computer simulation of the parameter identification of a two-channel system are presented to confirm efficientlly the derivation.
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