Comments on "numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2"

IEEE Transactions on Signal Processing

Volumn 52, Issue 5, 2004, Pages 1456-1458

  Barry, D A ^a   Li, L ^b   Jeng, D S ^c  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b UNIVERSITY OF QUEENSLAND   (Australia)

^c UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Algorithms; Approximation methods; Error estimation; Finite word length effects; Iterative methods; Round off errors

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; C (PROGRAMMING LANGUAGE); CALCULATIONS; COMPUTER SOFTWARE; ERROR ANALYSIS; FORTRAN (PROGRAMMING LANGUAGE); FUNCTION EVALUATION; ITERATIVE METHODS; SIGNAL PROCESSING;

FINITE WORD LENGTH EFFECTS; GAUSSIAN NOISE; LAMBERT FUNCTION; ROUND OFF ERRORS;

GAUSSIAN NOISE (ELECTRONIC);

EID: 2442619179     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2004.826154     Document Type: Letter

References (8)

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2. D. A. Barry, J.-Y. Parlange, L. Li, H. Prommer, C. J. Cunningham, and F. Stagnitti, "Analytical approximations for real values of the Lambert W-function," Math. Comput. Simul., vol. 53, pp. 95-103, 2000.
3. F. Chapeau-Blondeau and A. Monir, "Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2," IEEE Trans. Signal Processing, vol. 50, pp. 2160-2165, Sept. 2002.
4. D. A. Barry, P. J. Culligan-Hensley, and S. J. Barry, "Real values of the W-function," ACM Trans. Math. Softw., vol. 21, pp. 161-171, 1995.
5. D. A. Barry, S. J. Barry, and P. J. Culligan-Hensley, "Algorithm 743: WAPR: a FORTRAN routine for calculating real values of the W-function," ACM Trans. Math. Softw., vol. 21, pp. 172-181, 1995.
6. w = x," Commun. ACM, vol. 16, pp. 123-124, 1973.
7. D. A. Barry, J.-Y. Parlange, G. C. Sander, and M. Sivaplan, "A class of exact solutions for Richards' equation," J. Hydrol., vol. 142, pp. 29-46, 1993.
8. D. A. Barry, J.-Y. Parlange, L. Li, H. Prommer, C. J. Cunningham, and F. Stagnitti, "Erratum to 'Analytical approximations for real values of the Lambert W-function' [mathematics and computers in simulation 53(2000) 95-103]," Math. Comput. Simul., vol. 59, p. 543, 2002.