Geodesic
A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations
Journal of integer sequences, Tome 14 (2011) no. 3
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.
Classification : 11B83, 05A10, 05A19, 94A05, 94A11
Keywords: integer sequence, narayana triangle, narayana polynomial, riordan array, Hankel transform, orthogonal polynomials, multiple-input multiple-output (MIMO) systems, mar$\check $cenko-Pastur 
@article{JIS_2011__14_3_a7,
     author = {Barry,  Paul and Hennessy,  Aoife},
     title = {A note on {Narayana} triangles and related polynomials, {Riordan} arrays, and {MIMO} capacity calculations},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {3},
     zbl = {1232.11040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_3_a7/}
}
TY  - JOUR
AU  - Barry,  Paul
AU  - Hennessy,  Aoife
TI  - A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations
JO  - Journal of integer sequences
PY  - 2011
VL  - 14
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JIS_2011__14_3_a7/
LA  - en
ID  - JIS_2011__14_3_a7
ER  - 
%0 Journal Article
%A Barry,  Paul
%A Hennessy,  Aoife
%T A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations
%J Journal of integer sequences
%D 2011
%V 14
%N 3
%U http://geodesic.mathdoc.fr/item/JIS_2011__14_3_a7/
%G en
%F JIS_2011__14_3_a7
Barry,  Paul; Hennessy,  Aoife. A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations. Journal of integer sequences, Tome 14 (2011) no. 3. http://geodesic.mathdoc.fr/item/JIS_2011__14_3_a7/