On discrete-domain multidimensional sinusoidal models

On discrete-domain multidimensional sinusoidal models

We consider three-dimensional sinusoidal frequency model in a random field. Three-dimensional frequency model has wide applications in statistical signal processing. In this article, we mainly consider the usual least squares estimators and the estimators that can be obtained by maximizing the periodogram function. We obtain consistency and asymptotic normality property of both the estimators. ...

Discrete Simulation Models for Multidimensional Systems Based on Functional Transformations

A method for the discrete simulation of continuous multidimensional systems is presented. It is based on a transfer function description of the continuous system, which is obtained by application of appropriate functional transformations for each independent variable. Digital signal processing analog-to-discrete transformations turn the transfer function into a discrete simulation model. It is ...

A multidimensional discrete Hilbert-type inequality

In this paper, by using the way of weight coecients and technique of real analysis, a multidimensionaldiscrete Hilbert-type inequality with a best possible constant factor is given. The equivalentform, the operator expression with the norm are considered.

Discrete wavelet transform implementation in Fourier domain for multidimensional signal

Wavelet transforms are often calculated by using the Mallat algorithm. In this algorithm, a signal is decomposed by a cascade of filtering and downsampling operations. Computing time can be important but the filtering operations can be speeded up by using fast Fourier transform (FFT)-based convolutions. Since it is necessary to work in the Fourier domain when large filters are used, we present ...

On topology in multidimensional discrete spaces