For the first time, a method is considered that makes it possible to synthesize stable filters
with magnitude responses approximating the atomic functions h _ a (x). The atomic filters …

A method for synthesis of digital low-pass filter (LPF) based on spectra of atomic functions h
_ a (x) is first proposed. Compactly supported function h _ a (x) is a solution to the problem of …

The truncation error of the Kravchenko–Kotelnikov series, which is a generalization of the
Whittaker–Kotelnikov–Shannon series, is studied. The basis functions of the Kravchenko …

Digital infinite impulse response low pass filters on atomic functions h_a (x) are first
proposed. Due to its compactly support and the presence of interval where it is constant …

Application of atomic weight functions to the spectral analysis of electroencephalograms
(EEG) is considered. In EEG signals several patterns of rhythmic or periodic activity are …

A novel method for filtering images contaminated by mixed (additive-multiplicative) noise is
substantiated and implemented for the first time. The method includes several stages: the …

Features of self-organization models of dendritic objects are reviewed. The features of
scaling of dendritic structures in light fields, which manifest themselves in the form of stable …

Signal structures based on OFDM signals and error-correcting codes resistant to the
influence of spectrum-concentrated noise are described. An algorithm for receiving such …

In this paper, we describe some algorithms for generating and receiving structures based on
orthogonal frequency division multiplexing (OFDM) signals that are robust to spectrum …

The possibility of constructing wavelets based on convolutions with a rectangular impulse of
exponential and harmonic atomic functions has been studied. Some properties of …