MALDI mass spectrometry imaging (MALDI MSI) is a spatially resolved analytical tool for
biological tissue analysis by measuring mass-to-charge ratios of ionized molecules. With …

In this paper we introduce a new localization framework for wavelet transforms, such as the
1D wavelet transform and the Shearlet transform. Our goal is to design nonadaptive window …

This paper focuses on signal processing tasks in which the signal is transformed from the
signal space to a higher dimensional coefficient space (also called phase space) using a …

In this paper, we design mother wavelets for the 1D continuous wavelet transform with some
optimality properties. An optimal mother wavelet here is one that has an ambiguity function …

This paper proposes a multiband imaging method for optical fiber intrusion signals to realize
the multi-dimensional analysis and the characteristic spectrum extraction. Firstly, the time …

Continuous wavelet design is the endeavor to construct mother wavelets with desirable
properties for the continuous wavelet transform (CWT). One class of methods for choosing a …

In this thesis we consider two notions of mother wavelet uncertainty for the one-dimensional
wavelet transform based on a new localization framework recently introduced by Levie and …

Classical short-time Fourier constructions lead to a signal decomposition with a fixed time-
frequency resolution. However, having signals with varying features, such time-frequency …

We introduce an extension of continuous wavelet theory that enables an efficient
implementation of multiplicative operators in the coefficient space. In the new theory, the …