# Leonid S. Fainzilberg's research while affiliated with National Academy of Sciences of Ukraine and other places

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## Publications (30)

The author develops an approach to constructing biometric systems based on the analysis of the phase portrait of a single channel electrocardiogram (ECG) of the test subject. The rules for solving the problem of human identification and verification (authentication) are proposed. Experimental studies have shown that the proposed decision rules prov...

Introduction. An important area of modern information technology application is medical diagnostics, which is based on computer processing of biomedical signals The purpose of the article is to provide information on the results of basic and applied research that has ensured the practical implementation of the ECG method (fasegraphy method) in vari...

Introduction. The linguistic approach, based on the transition from the observed cyclic signal to a sequence of symbols (codeword), which characterize the dynamics of indicators from cycle to cycle, makes it possible to use the procedures of mathematical linguistics to increase the reliability of decisions. The purpose of the article is to expand t...

New methods for retrieving localized diagnostic information from cyclic signals of complex shape are proposed. The advantages of an alternative method of estimating the shape of an averaged cycle based on transition from a scalar signal to its mapping on the phase plane are shown. Original methods are proposed for estimating the dynamics of paramet...

The original approach to the analysis, interpretation and economical coding of cyclic signals of a complex form is developed. The approach is based on the transition from the observed signal to the phase portrait in the multidimensional space of parameters that uniquely describe the form of the signal fragments. It is shown that the proposed approa...

The generalized generative model of artificial ECG generation with specified amplitude and time parameters of informative fragments is proposed. The model allows one to generate artificial realistic shape signals with three types of T-wave alternans with internal and external perturbations. The generated test signal can be used to assess the qualit...

We construct the generative model for creation of artificial electrocardiogram with realistic form of informative fragments. Mechanism of creation of sequence of cycles, distorted by internal and external perturbations is considered. On the basis of model experiments we reconstruct dependencies between electrocardiogram parameters in time domain an...

The formal conditions, which allow to guarantee the features utility while statistical recognition of two classes, are formulated. At the same time, only limited data on individual and general probability characteristics of the features are used. The constructability of the obtained conditions is demonstrated on the example of solving the problem o...

The problem of construction of a narrow-band rejection filter, which is based on direct and inverse discrete Fourier transform is considered. The improvement of the method is grounded theoretically due to using additional search procedure, which reduces the spectrum leakage effect. The results of testing the developed algorithm on real and model ex...

We consider an approach for estimation of utility of diagnostic tests (attributes) from the point of view of reduction of a priori risk. The statements, which provide utility of a diagnostic test and a separate attribute, are proved. Upper estimates for limit values of probabilities of errors of "target miss" and "false alarm" are obtained. It was...

The interconnection between known definitions of irrelevant and
unuseful features in statistical recognition of two classes is
considered. It is demonstrated that any relevant feature in the sense of
a posteriori probabilities change may be unuseful regarding average
error probabilities change. The necessary and sufficient conditions of
usefulness...

The concept of informative and useful features in statistical
recognition of two classes is introduced. It is demonstrated that any
feature can be informative but not useful in combination with other
features. The sufficient conditions which assume the usefulness of
feature according to error probability are consider

The modified method of stationary harmonic noise filtration on the basis of discrete Fourier transformation is offered. This method is especially effective if the noise is concentrated in useful signal frequencies, when using well-known rejection filters can deform the useful signal in consequence of spectrum leakage effect. The mathematical justif...

The paper introduces a new approach to estimat-ing a diagnostic test's utility from the point of view of risk reduction. Equations are given for the utility of a test, or separate diagnostic feature, supported by proofs. The greatest lower bound on a test's sen-sitivity and a test's specificity are obtained. Im-provement to the traditional ROC-anal...

## Citations

... Individuality of the transient psychophysiological state of the human under the influence of stressors is hidden in spatiotemporal features of dynamics of electro-physiological signals (ECG, EEG, EOG and others) [7][8][9]. However, in the event of their parametric geometrization, information arrays are naturally structured. ...

... The application of this approach allows to analyze both the amplitude and the speed parameters of any elements of the ECG, and to detect deviations in them in comparison with the traditional analysis of the ECS in the time domain. Thereafter, this made it possible to approximate the ECG with interpolation models described in the works [15,16]. ...

... Both N h and N w are mass spectrum of C þ 50 , C þ 52 , C þ 54 , C þ 56 , and C þ 58 ions. (c) Mass spectrum obtained with a secondary electron detector common noise sources in instruments and can be reduced by signal processing methods [45][46][47][48][49][50][51][52]. The OWPD was used to decompose original signals via band-pass filters to estimate N r f and then remove the N r f to reconstruct the decomposed signals back to the original signals without distortions and rf field interference [45]. ...

... На основе интегрирования упрощенной системы дифференциальных уравнений, предложенных в [6] для описания механизма порождения искусственной ЭКГ, в работе [7] полу-чена модель ЭКГ в виде суммы несимметричных гауссовых функций. Аналогичные модели рассмотрены в [8][9][10]. ...

... However from the paper [5] it is known that the fact of distinction of feature's conditional distributions is only necessary but not sufficient condition from the point of view of decrease of the average error probability. The sufficient conditions ensuring of reduction of the average error probability was obtained in the paper [6]. ...

... However from the paper [5] it is known that the fact of distinction of feature's conditional distributions is only necessary but not sufficient condition from the point of view of decrease of the average error probability. The sufficient conditions ensuring of reduction of the average error probability was obtained in the paper [6]. ...