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Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces

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  • Jinsong Leng
  • Tingzhu Huang

Abstract

We first investigate the construction of a fusion frame system in a finiteā€dimensional Hilbert space š”½n when its fusion frame operator matrix is given and provides a corresponding algorithm. The matrix representations of its local frame operators and inverse frame operators are naturally obtained. We then study the related properties of the constructed fusion frame systems. Finally, we implement the construction of fusion frame systems which behave optimally for erasures in some special sense in signal transmission.

Suggested Citation

  • Jinsong Leng & Tingzhu Huang, 2014. "Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:836731
    DOI: 10.1155/2014/836731
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    References listed on IDEAS

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    1. Carlo Cattani & Luis M. SƔnchez Ruiz, 2004. "Discrete differential operators in multidimensional Haar wavelet spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-9, January.
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