Edgeworth Expansion Based Model for the Convolutional Noise pdf
Joint Authors
Rivlin, Yonatan
Pinchas, Monika
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-24
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Recently, the Edgeworth expansion up to order 4 was used to represent the convolutional noise probability density function (pdf) in the conditional expectation calculations where the source pdf was modeled with the maximum entropy density approximation technique.
However, the applied Lagrange multipliers were not the appropriate ones for the chosen model for the convolutional noise pdf.
In this paper we use the Edgeworth expansion up to order 4 and up to order 6 to model the convolutional noise pdf.
We derive the appropriate Lagrange multipliers, thus obtaining new closed-form approximated expressions for the conditional expectation and mean square error (MSE) as a byproduct.
Simulation results indicate hardly any equalization improvement with Edgeworth expansion up to order 4 when using optimal Lagrange multipliers over a nonoptimal set.
In addition, there is no justification for using the Edgeworth expansion up to order 6 over the Edgeworth expansion up to order 4 for the 16QAM and easy channel case.
However, Edgeworth expansion up to order 6 leads to improved equalization performance compared to the Edgeworth expansion up to order 4 for the 16QAM and hard channel case as well as for the case where the 64QAM is sent via an easy channel.
American Psychological Association (APA)
Rivlin, Yonatan& Pinchas, Monika. 2014. Edgeworth Expansion Based Model for the Convolutional Noise pdf. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-510904
Modern Language Association (MLA)
Rivlin, Yonatan& Pinchas, Monika. Edgeworth Expansion Based Model for the Convolutional Noise pdf. Mathematical Problems in Engineering No. 2014 (2014), pp.1-19.
https://search.emarefa.net/detail/BIM-510904
American Medical Association (AMA)
Rivlin, Yonatan& Pinchas, Monika. Edgeworth Expansion Based Model for the Convolutional Noise pdf. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-510904
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510904