Application of block matrix theory to obtain the inverse transform of the vector-valued DFT

Soto-Quiros, Pablo

2015

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We study the vector-valued discrete Fourier transform (vector-valued DFT) and its inverse transform, the vector-valued DFT inversion, through its block matrix representation. These transforms are defined for N- periodic signals, taking values in CD. The vector-valued DFT is a gen- eralization of classical discrete Fourier transform definition. The goal of this paper is present necessary and sufficient new conditions to vector- valued DFT inversion, and so, to make a perfect recovery of original signal.

Transformada rápida de fourier; Research Subject Categories::MATHEMATICS::Applied mathematics; Vectores; Número de Fourier; Transformaciones de fourier;