RLS-Laguerre lattice adaptive filtering: error-feedback, normalized, and array-based algorithms

This paper develops several lattice structures for RLS-Laguerre adaptive filtering including a posteriori and a priori based lattice filters with error-feedback, array-based lattice filters, and normalized lattice filters. All structures are efficient in that their computational cost is proportional to the number of taps, albeit some structures require more multiplications or divisions than others. The performance of all filters, however, can differ under practical considerations, such as finite-precision effects and regularization. Simulations are included to illustrate these facts.

[1]  Thomas Kailath,et al.  Least-squares adaptive lattice and transversal filters: A unified geometric theory , 1984, IEEE Trans. Inf. Theory.

[2]  M. Morf,et al.  Recursive least squares ladder estimation algorithms , 1981 .

[3]  Phillip A. Regalia,et al.  On the duality between fast QR methods and lattice methods in least squares adaptive filtering , 1991, IEEE Trans. Signal Process..

[4]  Simon Haykin,et al.  Adaptive filter theory (2nd ed.) , 1991 .

[5]  Ali H. Sayed,et al.  Extended Chandrasekhar recursions , 1994, IEEE Trans. Autom. Control..

[6]  Bin Yang,et al.  Rotation-based RLS algorithms: unified derivations, numerical properties, and parallel implementations , 1992, IEEE Trans. Signal Process..

[7]  T. Kailath,et al.  A state-space approach to adaptive RLS filtering , 1994, IEEE Signal Processing Magazine.

[8]  D. D. Falconer,et al.  Reduced complexity echo cancellation using orthonormal functions , 1991 .

[9]  Peter Strobach,et al.  Linear Prediction Theory: A Mathematical Basis for Adaptive Systems , 1990 .

[10]  John M. Cioffi,et al.  The fast adaptive ROTOR's RLS algorithm , 1990, IEEE Trans. Acoust. Speech Signal Process..

[11]  Qing Zhang,et al.  Computationally Efficient QR Decomposition Approach to Least Squares Adaptive Filtering , 1991 .

[12]  Hanoch Lev-Ari,et al.  Adaptive Laguerre-lattice filters , 1997, IEEE Trans. Signal Process..

[13]  B. Wahlberg System identification using Laguerre models , 1991 .

[14]  Pertti M. Mäkilä,et al.  Approximation of stable systems by laguerre filters , 1990, Autom..

[15]  Ali H. Sayed,et al.  Fast RLS Laguerre adaptive filtering , 1999 .

[16]  Ali H. Sayed,et al.  Orthonormal realization of fast fixed-order RLS adaptive filters , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[17]  LI,et al.  Fast RLS Laguerre Adaptive Filtering , .

[18]  Fuyun Ling,et al.  Advanced Digital Signal Processing , 1992 .

[19]  B. Friedlander,et al.  Lattice filters for adaptive processing , 1982, Proceedings of the IEEE.

[20]  Ali H. Sayed,et al.  Order-recursive RLS Laguerre adaptive filtering , 2000, IEEE Trans. Signal Process..