Steiner equiangular tight frames

  title={Steiner equiangular tight frames},
  author={Matthew C. Fickus and Dustin G. Mixon and Janet C. Tremain},
We provide a new method for constructing equiangular tight frames (ETFs). The construction is valid in both the real and complex settings, and shows that many of the few previously-known examples of ETFs are but the first representatives of infinite families of such frames. It provides great freedom in terms of the frame’s size and redundancy. This method also explicitly constructs the frame vectors in their native domain, as opposed to implicitly defining them via their Gram matrix. Moreover… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 30 references

On the construction of equiangular frames from graphs

  • S. Waldron
  • Linear Algebra Appl. 431
  • 2009
Highly Influential
4 Excerpts

BIBDs with small block size

  • R.J.R. Abel, M. Greig
  • in: C.J. Colbourn, J.H. Dinitz (Eds.), Handbook…
  • 2007
Highly Influential
7 Excerpts

Steiner systems

  • C. J. Colbourn, R. Mathon
  • in: C.J. Colbourn, J.H. Dinitz (Eds.), Handbook…
  • 2007
Highly Influential
7 Excerpts

Complex equiangular Parseval frames and Seidel matrices containing pth roots of unity

  • B. G. Bodmann, H. J. Elwood
  • Proc. Amer. Math. Soc. 138
  • 2010
1 Excerpt

Frames , graphs and erasures

  • V. I. Paulsen B. G. Bodmann
  • Proc . Amer . Math . Soc .
  • 2010

Symmetric informationally complete positive-operator valued measures: A new computer study

  • A. J. Scott, M. Grassl
  • J. Math. Phys. 51
  • 2010
1 Excerpt

Maximally equiangular frames and Gauss sums

  • M. Fickus
  • J. Fourier Anal. Appl. 15
  • 2009
1 Excerpt

A note on equiangular tight frames

  • T. Strohmer
  • Linear Algebra Appl. 429
  • 2008
1 Excerpt

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