Journal of Integer Sequences, Vol. 14 (2011), Article 11.3.8

A Note on Narayana Triangles and Related Polynomials, Riordan Arrays, and MIMO Capacity Calculations


Paul Barry
School of Science
Waterford Institute of Technology
Ireland

Aoife Hennessy
Department of Computing, Mathematics and Physics
Waterford Institute of Technology
Ireland

Abstract:

We study the Narayana triangles and related families of polynomials. We link this study to Riordan arrays and Hankel transforms arising from a special case of capacity calculation related to MIMO communication systems. A link is established between a channel capacity calculation and a series reversion.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequences A000007 A000045 A000108 A001003 A001263 A006318 A007318 A007564 A047891 A059231 A082298 A084938 A090181 A103371 A107131 A131198.)

Received April 1 2009; revised version received June 30 2010; September 15 2010; March 10 2011. Published in Journal of Integer Sequences, March 26 2011.

Return to Journal of Integer Sequences home page