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
fDate :
9/1/1991 12:00:00 AM
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;
Journal_Title :
Circuits and Systems for Video Technology, IEEE Transactions on