Multidimensional Gabor-Like Filters Derived from Gaussian Functions on Logarithmic Frequency Axes

arXiv:2402.09419v1 Announce Type: cross
Abstract: A novel wavelet-like function is presented that makes it convenient to create filter banks given mainly two parameters that influence the focus area and the filter count. This is accomplished by computing the inverse Fourier transform of Gaussian functions on logarithmic frequency axes in the frequency domain. The resulting filters are similar to Gabor filters and represent oriented brief signal oscillations of different sizes. The wavelet-like function can be thought of as a generalized Log-Gabor …

abstract arxiv banks computing count cs.cv cs.lg cs.ne eess.sp filter filters focus fourier function functions influence multidimensional novel parameters type wavelet