Abstract
A pair of multichannel recursive least squares (RLS) adaptive lattice algorithms based on the order recrusive of lattice filters and the superior numerical properties of Givens algorithms is derived in this paper. The derivation of the first algorithm is based on QR decomposition of the input data matrix directly, and the 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 efficiently the derivation.
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References
S. Haykin, Adaptive Filter Theory, Englewood Cliffs, NJ: Prantice Hall, 1985.
K. R. Liu, et al.,IEEE Trans. on CAS,CAS-38(1991)6, 625–636.
J. M. Cioffi,IEEE Trans. on ASSP,ASSP-38(1990)4, 631–653.
F. Ling,IEEE Trans. on SP,SP-39(1991)7, 1541–1551.
I. K. Prouddler, et al.,IEE Proc.-F,138(1991)4, 341–353.
P. S. Lewis,IEEE Trans. on ASSP,ASSP-38(1990)3, 421–432.
K. Zhao, et al., Multichannel Givens lattice adaptive algorithm. in Proc. IEEE ICASSP’91, Ontario, Canada: 1991, 1849–1852.
M. G. Ballanger, et al.,Signal Processing,22(1991)2, 115–126.
I. K. Proudler, et al., Computationally efficient QRD-based wideband beamforming. in Proc. IEEE ICASSP’90, New Mexico, USA: 1990, 1799–1792.
P. A. Ragalia, et al.,IEEE Trans. on SP,SP-39(1991)4, 879–891.
S. Ouyang, A multichannel FAR RLS algorithm, [the Master, thesis], Xi’an: Xi’dian University, 1992.
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Supported by the Foundation of the Academy of Electronic Science, China
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Shan, O., Huijun, F. QRD-based multichannel adaptive lattice algorithms for the parameter identification problem. J. of Electron.(China) 13, 201–210 (1996). https://doi.org/10.1007/BF02685828
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DOI: https://doi.org/10.1007/BF02685828