摘要: The signal model presently considered is composed of a linear combination basis signals chosen to reflect the basic nature believed characterize data being modeled. are dependent on set real parameters selected ensure that best approximates in least-square-error (LSE) sense. In nonlinear programming algorithms presented for computing optimum parameter selection, emphasis placed computational efficiency considerations. development formulated vector-space setting and uses such fundamental concepts as inner products, range- null-space matrices, orthogonal vectors, generalized Gramm-Schmidt orthogonalization procedure. A running representative signal-processing examples illustrate theoretical well point out utility LSE modeling. These include modeling empirical sum complex exponentials sinusoids, prediction, recursive identification, direction finding. >
sci-hub.se 参考文章(15)
Robert J. Schilling, Hua Lee, Engineering analysis : a vector space approach ,(1988)
Håkan Ramsin, Per-Åke Wedin, A comparison of some algorithms for the nonlinear least squares problem Bit Numerical Mathematics. ,vol. 17, pp. 72- 90 ,(1977) , 10.1007/BF01932400
J.A. Cadzow, A high resolution direction-of-arrival algorithm for narrow-band coherent and incoherent sources IEEE Transactions on Acoustics, Speech, and Signal Processing. ,vol. 36, pp. 965- 979 ,(1988) , 10.1109/29.1618
D. C. Rife, R. R. Boorstyn, Multiple tone parameter estimation from discrete-time observations Bell System Technical Journal. ,vol. 55, pp. 1389- 1410 ,(1976) , 10.1002/J.1538-7305.1976.TB02941.X
G. H. Golub, V. Pereyra, The differentiation of pseudoinverses and nonlinear least squares problems whose variables separate. SIAM Journal on Numerical Analysis. ,vol. 10, pp. 413- 432 ,(1972) , 10.1137/0710036
K. Steiglitz, L. McBride, A technique for the identification of linear systems IEEE Transactions on Automatic Control. ,vol. 10, pp. 461- 464 ,(1965) , 10.1109/TAC.1965.1098181
Axel Ruhe, Per Åke Wedin, Algorithms for separable nonlinear least squares problems Siam Review. ,vol. 22, pp. 318- 337 ,(1980) , 10.1137/1022057
D.W. Tufts, R. Kumaresan, Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihood Proceedings of the IEEE. ,vol. 70, pp. 975- 989 ,(1982) , 10.1109/PROC.1982.12428
R. Schmidt, Multiple emitter location and signal parameter estimation IEEE Transactions on Antennas and Propagation. ,vol. 34, pp. 276- 280 ,(1986) , 10.1109/TAP.1986.1143830
R. Harman, F. Fairman, Exponential approximation via closed-form Gauss-Newton method IEEE Transactions on Circuit Theory. ,vol. 20, pp. 361- 369 ,(1973) , 10.1109/TCT.1973.1083701