Type of the equiangular tight frames with \(n+1\) vectors in \(R^n\)

Authors

  • Somayeh Arbabi Mohammad-Abadi

    Anar Branch, Islamic Azad University, Anar, Iran

  • Mohammad Najafi

    Anar Branch, Islamic Azad University, Anar, Iran

Received date: July 30, 2012

Accepted date: August 19, 2012

Published date: August 22, 2012

DOI:

https://doi.org/10.14419/ijamr.v1i4.309

Abstract

An equiangular tight frame (ETF) is a \(d \times n\) matrix that has orthogonal rows and unit-norm columns. ETFs have applications in communications, coding theory and quantum computing. In this paper we investigate type of ETFs that have \(n+1\) vectors in \(R^n\). Also we state the connection between these frames with the complete graphs that containing \(n+1\) vertices.

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How to Cite

Arbabi Mohammad-Abadi, S., & Najafi, M. (2012). Type of the equiangular tight frames with \(n+1\) vectors in \(R^n\). International Journal of Applied Mathematical Research, 1(4), 391-401. https://doi.org/10.14419/ijamr.v1i4.309

Received date: July 30, 2012

Accepted date: August 19, 2012

Published date: August 22, 2012