Gabor-type matrices and discrete huge Gabor transforms
نویسندگان
چکیده
We introduce a class of Gabor-type matrices and show that the product of two Gabor-type matrices is still a Gabor-type matrix possessing the same type. The key point is based on the fact that the multiplication of Gabor-type matrices can be converted into the \multiplication" of small block matrices. We propose an eecient algorithm, the specially devised block-multiplication. As an interesting consequence we show that Gabor operators corresponding to Gabor triples (gk; a; b) for any Gabor signals gk(k = 1; 2) are commutative provided that ab divides the signal length.
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