References
- D. Antic, B. Dankovic, S. Nikolic, M. Milojkovic and Z.D. Jovanovic. Approximation based onorthogonal and almost orthogonal functions. Journal of The Franklin Institute, 349(1):323–336, 2012. http://dx.doi.org/10.1016/j.jfranklin.2011.11.006.
- M.H. Asyali and M. Juusola. Use of Meixner functions in estimation of Volterra kernels of nonlinear systems with delay. Transactions on Biomedical Engineering, 52(2):229–237, 2005. http://dx.doi.org/10.1109/TBME.2004.840187.
- H.J.W. Belt. Orthogonal bases for adaptive filtring. (Ph.D. thesis), Eindhoven University of Technology, 1997.
- H.J.W. Belt and A.C. den Brinker. Optimality condition for truncated generalized Laguerre networks. International Journal of Circuit Theory and Applications, 23(3):227–235, 1995. http://dx.doi.org/10.1002/cta.4490230305.
- H.J.W. Belt and A.C. den Brinker. Optimal parametrization of truncated generalized Laguerre series. In A. Cañada, P. Drábek and A. Fonda(Eds.), IEEE International Conference on Acoustics, Speech, and Signal Processing., volume 5, pp. 3805–3808, 1997. http://dx.doi.org/10.1109/icassp.1997.604708.
- K. Bouzrara, T. Garna, J. Ragot and H. Messaoud. Online identification of the ARX model expansion on Laguerre orthonormal bases with filters on model input and output. International Journal of control, 86(3):369–385, 2013. http://dx.doi.org/10.1080/00207179.2012.732710.
- A.G. Dankers and D.T. Westwick. On the relationship between the enforced convergence criterion and the asymptotically optimal laguerre pole. IEEE Transactions on Automatic Control, 57(5):1102–1109, 2012. http://dx.doi.org/10.1109/TAC.2011.2170452.
- A.C. den Brinker. Meixner-like functions having a rational Z-transform. International journal of circuit theory and applications, 23(3):237–246, 1995. http://dx.doi.org/10.1002/cta.4490230306.
- A.C. den Brinker and H.J.W. Belt. Optimal free parameters in orthonormal approximations. IEEE Transactions on Signal Processing, 46(8):2081–2087, 1998. http://dx.doi.org/10.1109/78.705414.
- A.C. den Brinker, F.P.A. Benders and T.O.e. Silva. Optimality conditions for truncated Kautz series. IEEE Transactions on Circuits Systems, 41(2):117–122, 1996. http://dx.doi.org/10.1109/82.486458.
- Y. Fu and G.A. Dumont. An optimum time-scale for discrete time Laguerre network. IEEE Transaction on Automatic Control, 38(6):934–938, 1993. http://dx.doi.org/10.1109/9.222305.
- P.S.C. Heuberger, P.M.J. Van den Hof and B. Wahlberg. Modelling and identification with rational orthogonal basis functions. Springer Verlag, 2005. http://dx.doi.org/10.1007/1-84628-178-4.
- Y. Hirama. Identification method for commercialized PI control using Laguerre function. In SICE Annual Conference, 13-18 September, pp. 2955–2960, TokyoJapan, 2011.
- P. Li and G. Shi. Closed-loop identification using Laguerre orthogonal functions for a virtual diesel engine. International Journal of Computer Applications in Technology, 41(1/2):34–39, 2011. http://dx.doi.org/10.1504/IJCAT.2011.042229.
- R. Malti, S.B. Ekongolo and J. Ragot. Dynamic SISO and MISO system approximations based on optimal Laguerre models. IEEE Transactions on Automatic Control, 43(9):1318–1323, 1998. http://dx.doi.org/10.1109/9.718626.
- M.A. Masnadi-Shirazi. Laguerre approximation of nonrecursive discrete-time systems. In A. Cañada, P. Drábek and A. Fonda(Eds.), IEEE International Conference on Acoustics , Speech, and Signal Processing, pp. 1309–1312, 1990. http://dx.doi.org/10.1109/ICASSP.1990.115614.
- M.A. Masnadi-Shirazi and N. Ahmed. Optimum Laguerre networks for a class of discrete-time systems. IEEE Transaction on Signal Processing, 39(9):2104–2108, 1991. http://dx.doi.org/10.1109/78.134447.
- L.S.H. Ngia. Separable nonlinear least-squares methods for efficient off-line and on-line modeling of systems using kautz and laguerre filters. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 48(6):562–579, 2001. http://dx.doi.org/10.1109/82.943327.
- S.A. Prokhorov and I.M. Kulikovskikh. Unique condition for generalized Laguerre functions to solve pole position problem. Signal Processing, 108:25–29, 2015. http://dx.doi.org/10.1016/j.sigpro.2014.08.040.
- S.A. Prokhorov and I.M. Kulikovskikh. Pole position problem for Meixner filters. Signal Processing, 120:8–12, 2016. http://dx.doi.org/10.1016/j.sigpro.2015.08.009.
- A. Ruhe and P.A. Wedin. Algorithms for separable nonlinear least squares problems. ISIAM Review, 22(3):318–337, 1980. http://dx.doi.org/10.1137/1022057.
- T.O.e. Silva. Optimality conditions for truncated Laguerre networks. IEEE Transactions on Signal Processing, 42(9):2528–2530, 1994. http://dx.doi.org/10.1109/78.317879.
- T.O.e. Silva. On the determination of the optimal pole position of Laguerre filters. Transaction on Signal Processing, 43(9):2079–2087, 1995. http://dx.doi.org/10.1109/78.414769.
- N. Tanguy and L.C. Calvez. Optimum choice of free parameter in orthonormal approximations. IEEE Transactions on Automatic Control, 40(10):1811–1813, 1995. http://dx.doi.org/10.1109/9.467666.
- N. Tanguy, R. Morvan, P. Vilb´e and L.C. Calvez. Online optimization of the time scale in adaptive Laguerre-based filters. IEEE Transactions on Signal Processing, 48(4):1184–1187, 2000. http://dx.doi.org/10.1109/78.827551.
- N. Tanguy, R. Morvan, P. Vilb´e and L.C. Calvez. Pertinent choice of parameters for discrete Kautz approximation. IEEE Transactions on Automatic Control, 47(5):783–787, 2002. http://dx.doi.org/10.1109/TAC.2002.1000273.
- B. Wahlberg. System identification using Laguerre models. IEEE Transactions on Automatic Control, 36(5):551–562, 1991. http://dx.doi.org/10.1109/9.76361.
- B. Wahlberg. System identification using Kautz models. IEEE Transactions on Automatic Control, 39(6):1276–1282, 1994. http://dx.doi.org/10.1109/9.293196.