A general approach for orthogonal 4-tap integer multiwavelet transforms.
A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations.
Adaptive wavelet estimation of a biased density for strongly mixing sequences.
Characterizations of tight frame wavelets with special dilation matrices.
Compression and restoration of square integrable functions.
Gabor Time-Frequency Lattices and the Wexler-Raz Identity.
Multiplicative function systems and their application in discrete information processing
On discrete Fourier analysis of amplitude and phase modulated signals
In this work the problem of characterization of the Discrete Fourier Transform (DFT) spectrum of an original complex-valued signal , t=0,1,...,n-1, modulated by random fluctuations of its amplitude and/or phase is investigated. It is assumed that the amplitude and/or phase of the signal at discrete times of observation are distorted by realizations of uncorrelated random variables or randomly permuted sequences of complex numbers. We derive the expected values and bounds on the variances of such...
Pyramidal watershed segmentation algorithm for high-resolution remote sensing images using discrete wavelet transforms.
Ternary wavelets and their applications to signal compression
We introduce ternary wavelets, based on an interpolating 4-point C^2 ternary stationary subdivision scheme, for compressing fractal-like signals. These wavelets are tightly squeezed and therefore they are more suitable for compressing fractal-like signals. The error in compressing fractal-like signals by ternary wavelets is at most half of that given by four-point wavelets (Wei and Chen, 2002). However, for compressing regular signals we further classify ternary wavelets into 'odd ternary' and 'even...
The continuous Legendre transform, its inverse transform, and applications.
The multidimensional -transform and its use in solution of partial difference equations
The -product approach for linear ODEs: A numerical study of the scalar case
Solving systems of non-autonomous ordinary differential equations (ODE) is a crucial and often challenging problem. Recently a new approach was introduced based on a generalization of the Volterra composition. In this work, we explain the main ideas at the core of this approach in the simpler setting of a scalar ODE. Understanding the scalar case is fundamental since the method can be straightforwardly extended to the more challenging problem of systems of ODEs. Numerical examples illustrate the...
Unique Reconstruction of Band-limited Signals by a Mallat-Zhong Wavelet Transform Algorithm.
Variable rate multi-channel (Papoulis) sampling expansion (via sub-channel analysis)
Verschlüsselungsabbildungen mit Pseudo-Inversen, Zufallsgeneratoren und Täfelungen
Wavelet transform and binary coalescence detection
We give a short account of some time-frequency methods which are relevant in the context of gravity waves detection. We focus on the case of wavelet analysis which we believe is particularly appropriate. We show how wavelet transforms can lead to efficient algorithms for detection and parameter estimation of binary coalescence signals. In addition, we give in an appendix some of the ingredients needed for the construction of discrete wavelet decompositions and corresponding fast algorithms.
Минимаксное обнаружение сигнала для -эллипсоидов с удаленным -шаром