Fourier Eigenfunctions, Uncertainty Gabor Principle and Isoresolution Wavelets
arXiv:1502.03401
Abstract
Shape-invariant signals under Fourier transform are investigated leading to a class of eigenfunctions for the Fourier operator. The classical uncertainty Gabor-Heisenberg principle is revisited and the concept of isoresolution in joint time-frequency analysis is introduced. It is shown that any Fourier eigenfunction achieve isoresolution. It is shown that an isoresolution wavelet can be derived from each known wavelet family by a suitable scaling.
6 pages, XX Simpósio Bras. de Telecomunicações, Rio de Janeiro, Brazil, 2003. Fixed typos