In this paper, we present the estimation of Poisson intensity based on hypothesis testing in the wavelet domain for any dimensional data. The testing framework for wavelet-based Poisson intensity estimation was first introduced by Kolaczyk, where a thresholding estimator, which realizes the hypothesis testing, is derived for Haar wavelet coefficients. Here we propose for the same wavelet a new ...

Computer networks can be alerted to possible viruses by using kill signals, which reduces the risk of virus spreading. To analyze effect signal nodes on propagation, we use a fractional-order SIRA model Caputo derivatives. In our model, show how computer spreads in vulnerable system and it is countered an antidote. Using operator, fractionalized after examining deterministic form. The fixed poi...

An efficient computational method is presented for state space analysis of singular systems via Haar wavelets. Singular systems are those in which dynamics are governed by a combination of algebraic and differential equations. The corresponding differential-algebraic matrix equation is converted to a generalized Sylvester matrix equation by using Haar wavelet basis. First, an explicit expressio...

In this paper, a new method for blind watermarking is used to achieve robustness against SPIHT compression methods as well as some other well known attacks such as Histogram Equalization, Gamma Correction, median noise, salt and pepper noise. The watermark is encoded via singular value decomposition and later embedded. Then we apply discrete wavelet transform (Haar) at one level and the waterma...

A method to design multiband RF pulses for magnetic resonance imaging is described. The method is based on the Shinnar-Le Roux transform and involves a phase correction that provides control over the phase of the excited bands. The theory behind the method and this phase correction is outlined. The method is demonstrated with the design of RF pulses for Hadamard encoding and Haar wavelet encodi...

This paper studies the connections between discrete two-dimensional schemes for shift-invariant Haar wavelet shrinkage on one hand, and nonlinear diffusion on the other. We show that using a single iteration on a single scale, the two methods can be made equivalent by the choice of the nonlinearity which controls each method: the shrinkage function, or the diffusivity function, respectively. In...