Rectangular-to-quincunx Gabor Lattice Conversion via Fractional Fourier Transformation
نویسنده
چکیده
The fractional Fourier transformation is used to transform the rectangular Gabor lattice into a quin-cunx lattice. By using the isometric property of the unitary fractional Fourier transformation, the biorthog-onality relation for the rectangular lattice is transformed into a relation which holds for the quincunx lattice. Since a Gaussian function, which plays an important role as a window function in Gabor theory, is an eigenfunction of the fractional Fourier transformation , this transformation has a clear advantage over other operations that are used to transform a rectangular lattice into a quincunx lattice.
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