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

被引：0

作者：

Barry, Paul ^{[1
]}

Hennessy, Aoife ^{[2
]}

机构：

[1] Waterford Inst Technol, Sch Sci, Waterford, Ireland

[2] Waterford Inst Technol, Dept Comp Math & Phys, Waterford, Ireland

来源：

JOURNAL OF INTEGER SEQUENCES | 2011年 / 14卷 / 03期

关键词：

Integer sequence; Narayana triangle; Narayana polynomial; Riordan array; Hankel transform; orthogonal polynomials; multiple-input multiple-output (MIMO) systems; Marcenko-Pastur;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：26

共 6 条

[1] Riordan arrays, generalized Narayana triangles, and series reversion
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[3] Riordan arrays, Lukasiewicz paths and Narayana polynomials
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[4] Generalized Narayana Polynomials, Riordan Arrays, and Lattice Paths
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[5] A Note on Krawtchouk Polynomials and Riordan Arrays
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[6] Palindromic Riordan arrays, classical orthogonal polynomials and Catalan triangles
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