A note on narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations

Paul Barry; Aoife Hennessy

doi:Article 11.3.8

A note on narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations

Paul Barry, Aoife Hennessy

School of Science and Computing

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-26
Number of pages	26
Journal	Journal of Integer Sequences
Volume	14
Issue number	3
DOIs	https://doi.org/Article 11.3.8
Publication status	Published - 2011

Keywords

Hankel transform
Integer sequence
Mařcenko-Pastur
Multiple-input multiple-output (MIMO) systems
Narayana polynomial
Narayana triangle
Orthogonal polynomials
Riordan array

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Article 11.3.8

A Note on Narayana Triangles and Related Polynomials, Riordan Arrays, and MIMO Capacity CalculationsOther version, 0 bytes

http://repository.wit.ie/id/document/2854

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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.",

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AU - Hennessy, Aoife

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KW - Hankel transform

KW - Integer sequence

KW - Mařcenko-Pastur

KW - Multiple-input multiple-output (MIMO) systems

KW - Narayana polynomial

KW - Narayana triangle

KW - Orthogonal polynomials

KW - Riordan array

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A note on narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations

Abstract

Keywords

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