Simple Approximations of the Error Function Q(x) for Communications Applications

IEEE Transactions on Communications

Volumn 27, Issue 3, 1979, Pages 639-643

  BÖrjesson, Per Ola ^a   Sundberg, Carl Erik W ^a  

^a LUND UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - ERROR ANALYSIS;

TELECOMMUNICATION SYSTEMS;

EID: 0018439646     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOM.1979.1094433     Document Type: Article

References (12)

1. J. M. Wozencraft, I. M. Jacobs, Principles of Communication Engineering, Wiley 1965, pp 83–84.
2. W. C. Lindsey, M. K. Simon, Telecommunication Systems Engineering, Prentice-Hall 1973.
3. H. L. van Trees, Detection, Estimation and Modulation Theory, Part I, Wiley 1968, pp 37–40.
4. M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions, Dover Publications 1965.
5. A. V. Boyd, “Inequalities for Mills’ ratio,” Reports of Statistical Application Research, Union of Japanese Scientists and Engineers, Vol. 6, No 2, (1959) pp 44–46.
6. Y. Komatzu, “Elementary inequalities for Mills’ ratio,” Rep. Stat. Appl. Res. JUSE, Vol. 4 (1955) pp 69–70.
7. H. O. Pollak, “A remark on ‘Elementary inequalities for Mills ratio’ by Y Komatzu,” Rep. Stat. Appl. Res. Un. Jap. Sci. Engrs., Vol. 4 (1955–1957) p 110.
8. C-E. Sundberg, “The communication Engineer's approximations of the error function Q(x),“ Technical Report IR-92, October 1977, Telecommunication Theory, University of Lund.
9. R. D. Gordon, “Values of Mills’ ratio of area to bounding ordinate of the normal probability integral for large values of arguments,” Ann. of Math. Stat. 12 (1941) pp 364–366.
10. R. D. Gordon, “The estimation of a quotient when the denominator is normally distributed,” Ann. of Math. Stat. 12 (1941) pp 115–118.
11. Z. W. Birnbaum, “An inequality for Mills’ ratio,” Ann. of Math. Stat. 13 (1942) pp 245–246.
12. P. O. Börjesson C-E. Sundberg, “A Class of Analytical Approximations of the Error Function Q(x),“ Technical Report TR-101, April 1978, Telecommunication Theory, University of Lund.