We present a new inversion formula for the classical, finite, and asymptotic Laplace transform f̂ of continuous or generalized functions f . The inversion is given as a limit of a sequence of finite linear combinations of exponential functions whose construction requires only the values of f̂ evaluated on a Müntz set of real numbers. The inversion sequence converges in the strongest possible sens...

This paper presents a novel solution method based on measurement and analysis of current signals for gearbox fault recognition of wind turbine. A gearbox with typical oil-leakage fault is purposely made. The oil-leakage gearbox and a normal gearbox are used as experimental models to measure and analyze the current signals of generator. This work employs wavelet transform (WT), empirical mode de...

The Burrows-Wheeler Transform (bwt) produces a permutation of a string X, denoted X∗, by sorting the n cyclic rotations of X into full lexicographical order, and taking the last column of the resulting n× n matrix to be X∗. The transformation is reversible in O(n) time. In this paper, we consider an alteration to the process, called k-bwt, where rotations are only sorted to a depth k. We propos...

The use of Inverse Discrete Fourier Transform (IDFT) implemented in the form of Inverse Fourier Transform (IFFT) is one of the standard method of reconstructing Magnetic Resonance Imaging (MRI) from uniformly sampled K-space data. In this tutorial, three of the major problems associated with the use of IFFT in MRI reconstruction are highlighted. The tutorial also gives brief introduction to MRI...

where a(u, v) denotes the standard deviation of a coefficient. The inverse transform is given by The maximum coefficient value for the cosine transform can be derived from (1) as (3) (2) for w = <P for w = 1, 2, "', N-1. [ (2j + 1)U1T] [(2k + 1)V1T] • cos cos 2N 2N 1 !v' 2 I X I! p(x; u , v) = exp-Vi a(u, v) a(u, v) 1 C(w) = Vi N-1N-1 fO, k) = ~ ~ C(u)C(v)F(u, v) u=O v=O for i, k = 0, 1, "', N-...

A transform that enables generator-matrix-based Reed-Solomon (RS) coded data to be recovered under interpolation-based list decoding is presented. The transform matrix needs to be computed only once and the transformation of an element from the output list to the desired RS coded data block incurs k field multiplications, given a code of dimension k. Index Terms Galois Field Fourier Transform, ...

background: epilepsy is a severe disorder of the central nervous system that predisposes  the person to recurrent seizures. fifty million people worldwide suffer from  epilepsy; after alzheimer's and stroke, it is the third widespread nervous disorder. objective: in this paper, an algorithm to detect the onset of epileptic seizures  based on the analysis of brain electrical signals (eeg) has be...

background: breast cancer is currently one of the leading causes of death among women worldwide. the diagnosis and separation of cancerous tumors in mammographic images require accuracy, experience and time, and it has always posed itself as a major challenge to the radiologists and physicians. objective: this paper proposes a new algorithm which draws on discrete wavelet transform and adaptive...