TY - JOUR
T1 - Application of block matrix theory to obtain the inverse transform of the vector-valued DFT
AU - Soto-Quiros, Pablo
N1 - Publisher Copyright:
© 2015 Pablo Soto-Quiros.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
KW - DFT frames
KW - DFT matrix
KW - Vector-valued DFT
KW - Vector-valued DFT inversion
UR - http://www.scopus.com/inward/record.url?scp=84929903975&partnerID=8YFLogxK
U2 - 10.12988/ams.2015.52125
DO - 10.12988/ams.2015.52125
M3 - Artículo
AN - SCOPUS:84929903975
SN - 1312-885X
VL - 9
SP - 2567
EP - 2577
JO - Applied Mathematical Sciences
JF - Applied Mathematical Sciences
IS - 49-52
ER -