E.I. Chernov1, N.E. Sobolev2, A.N. Vlasov3

1,3 Ryazan State Radio Engineering University named after V.F. Utkin (Ryazan, Russia)

2 Institute of Problematic Developments LLC (Ryazan, Russia)

The development of a new generation of diagnostic tools and medical information systems requires the use of the latest advances in signal processing. These include the "Mirror noise Image Method" – a new technology for extracting a useful signal from noise, used in cases where there is a strong hidden correlation between frequency-separated noise signals.

This article presents the results of a study of narrowband noise signals for different amplitude ranges and different selectivity of narrowband filters for the presence of a hidden correlation between these signals. The amplitude ranges corresponding to a strong latent correlation are determined. As the studied signals, the following were used: a signal at the central frequency and the sum of signals at mirror frequencies isolated simultaneously from broadband band-limited noise, in which shot noise prevailed. The research methodology is based on a method previously developed by the authors for estimating the hidden correlation of narrowband noise signals.

The essence of the method is as follows. Initially, the total signal formed from narrow-band signals isolated simultaneously from broadband band-limited noise at frequencies mirrored relative to the central frequency is approximated in increments of one time count using the total signal-the reaction of narrow-band mirror frequency filters to a triangular-shaped signal obtained by subtracting from the step signal the same step signal with a time offset by one time countdown. This is provided by solving a system of n linear equations. The solution of the system is the reverse convolution of signals. Then the roots of the system of equations are used as coefficients in the synthesis of a signal at the central frequency using a signal-the reaction of a narrow-band filter of the central frequency to a signal with a triangular shape. Next, the correlation between the signal obtained in this way and the signal at the central frequency isolated from broadband noise using narrowband filtering is evaluated.

The presented research results will be of interest to researchers and engineers involved in the development of medical diagnostic equipment and information measuring systems.

Chernov E.I., Sobolev N.E., Vlasov A.N. Results of the hidden correlation study narrowband noise signals for information and measurement systems and diagnostic tools for medical purposes. Biomedicine Radioengineering. 2022. V. 25. № 4. Р. 24-28. DOI: https://doi.org/10.18127/j15604136-202204-03 (In Russian)

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