A Montgomery’s algorithm in GF(2) based on the Hankel matrix–vector representation is proposed. The hardware architecture obtained from this algorithm indicates low-complexity bit-parallel systolic multipliers with irreducible trinomials. The results reveal that the proposed multiplier saves approximately 36% of space complexity as compared to an existing systolic Montgomery multiplier for trin...

This paper presents an evaluation of different types and families of multiwavelets in stereo correspondence matching. First, the paper introduces two hierarchical stereo matching techniques based on balanced and respectively unbalanced multiwavelet transforms, which employ normalized cross correlation to search for disparities. Different multiwavelet families, with different properties and filt...

We present an outline of how the ideas of self-similarity can be applied to wavelet theory, especially in connection to wavelets associated with a multiresolution analysis of R n allowing arbitrary dilation matrices and no restrictions on the number of scaling functions. 1. Introduction Wavelet bases have proved highly useful in many areas of mathematics, science, and engineering. One of the mo...

for a ∈ mn, the schur multiplier of a is defined as s a(x) =a ◦ x for all x ∈ mn and the spectral norm of s a can be stateas ∥s a∥ = supx,0 ∥a ∥x ◦x ∥ ∥. the other norm on s a can be definedas ∥s a∥ω = supx,0 ω(ω s( ax (x ) )) = supx,0 ωω (a (x ◦x ) ), where ω(a) standsfor the numerical radius of a. in this paper, we focus on therelation between the norm of schur multiplier of product of matric...

Matrix multiplication is a computationally-intensive and fundamental matrix operation in many algorithms used in scientific computations. It serves as the basic building block for many signal, image processing, graphics and robotic applications. To improve the performance of these applications, a high performance matrix multiplier is required. Traditionally, matrix multiplication operation is e...

This paper deals with multiwavelets and the different properties of approximation and smoothness associated with them. In particular, we focus on the important issue of the preservation of discrete-time polynomial signals by multifilterbanks. We introduce and detail the property of balancing for higher degree discrete-time polynomial signals and link it to a very natural factorization of the re...

Interpolating scaling vectors and multiwavelets are particularly attractive for application purposes, because they provide a natural preprocessing procedure. This paper is concerned with the application of the interpolating orthonormal scaling vectors constructed in [10] to signal and image denoising. The results of several wavelets and multiwavelets for both universal and vector thresholding a...

Based on chaotic scrambling, we proposed a digital image watermarking scheme in interpolatory orthogonal multiwavelets transforming domain. At first, the logistic chaotic mapping and arnold transformating are employed to scramble the original watermarking image, then the watermark information is embedded into the middle frequency interpolatory orthogonal multiwavelets transforming coefficients ...

Various results on constructing wavelets, multiwavelets and wavelet frames for periodic functions are reviewed. The orthonormal and Riesz bases as well as frames are constructed from sequences of subspaces called multiresolution analyses. These studies employ general frequency-based approaches facilitated by functions known as orthogonal splines and polyphase splines. While the focus is on the ...