• DocumentCode
    1559441
  • Title

    Matrix representations of the multidimensional overlap and add technique

  • Author

    Granata, J. ; Tolimieri, R.

  • Author_Institution
    Center for Large Scale Comput., City Univ. of New York, NY, USA
  • Volume
    1
  • Issue
    3
  • fYear
    1991
  • fDate
    9/1/1991 12:00:00 AM
  • Firstpage
    289
  • Lastpage
    290
  • Abstract
    The authors present sparse matrix representations for multidimensional Agarwal-Burrus nesting. It is shown that the resulting sparse matrices can be expressed in terms of tensor product decompositions. The formulations derived provide a highly compact representation of this approach to nesting. The tensor product approach also provides the needed structure to easily derive several variant schemes that are well suited for use on many types of computer architectures
  • Keywords
    matrix algebra; signal processing; tensors; convolution; multidimensional Agarwal-Burrus nesting; multidimensional overlap and add technique; signal processing; sparse matrix representations; tensor product decompositions; Algebra; Computer architecture; Convolution; Discrete Fourier transforms; Matrix decomposition; Multidimensional systems; Programming profession; Signal processing algorithms; Sparse matrices; Tensile stress;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems for Video Technology, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1051-8215
  • Type

    jour

  • DOI
    10.1109/76.97991
  • Filename
    97991