Introduction At high field strengths, shimming becomes increasingly more difficult and important since susceptibility induced B0 inhomogeneities increase. Exploiting up to 3 rd order shim coils on the system, a high number of degrees of freedom are available to generate a more homogeneous B0 field. In MR spectroscopy excellent shimming is an important factor for acquiring high quality data sinc...

Spectral analysis is an important signal processing tool for seismic data. The transformation of a seismogram into the frequency domain is the basis for a significant number of processing algorithms and interpretive methods. However, for seismograms whose frequency content vary with time, a simple 1-D (Fourier) frequency transformation is not sufficient. Improved spectral decomposition in frequ...

In many signal processing applications, recent techniques often rely on the estimation of a probabilistic model. Many times, this model does not focus on the observed data itself, but rather on a spectral or time-frequency transform of this data, such as the discrete Fourier transform (DFT) or the short-time Fourier transform (STFT). A common statistical assumption regarding these transforms is...

Spectral warping is a technique that transforms a digital signal in the time domain by a warping of the frequency axis in its frequency representation. This corresponds to a mapping of the samples in the z-domain such that they are unevenly spaced around the unit circle. Spectral warping can be implemented with a network of linear all-pass filters. The Spectral Warping has a property that a tim...

Dual-comb interferometry is based on self-heterodyning two optical frequency combs, with corresponding mapping of the spectrum into radio-frequency domain. The dual comb enables diverse applications, including metrology, fast high-precision spectroscopy high signal-to-noise ratio, distance ranging, and coherent communications. However, current dual-frequency-comb systems are designed for resear...

in this paper, we present an analytical method for solving a well-posed boundary value problem of mathematical physics governing the vibration characteristics of an internal flow propelled fluid-structure interaction where the pipeline segment is idealized as an elastic hollow beam conveying an incompressible fluid on a viscoelastic foundation. the effect of coriolis and damping forces on the o...

This paper proposes a method for extracting subimages from a huge reference image by using lifting wavelet transforms that map integers to integers. Our integertype lifting wavelet transform contains controllable free parameters, which are constructed based on an integer version of Haar transform. Our learning method is to determine such free parameters using some subimages so as to vanish thei...