Methods of Signal Processing

Analytical metric grids for statistical and spectral complexity diagrams

V. G. Babikov, A. A. Galyaev

Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences, Moscow

Abstract: The paper is devoted to the study of statistical and spectral complexity diagrams, which play an important role in solving the signal classification task. Lemmas on the construction of analytical metric grids for statistical and spectral complexity diagrams are formulated and proved. The obtained theoretical results are verified by numerical experiments, which confirmed the effectiveness of theoretical estimates.

Keywords: information entropy, discrete Fourier transform, periodogram, imbalance, statistical complexity, spectral complexity, metric grids.

UDC: 621.391.8

Received: 11.11.2024
Revised: 12.03.2025
Accepted: 20.03.2025

DOI: 10.31857/S0555292325010036