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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v56.i1.20
15 pages

Atomic Functions and the Construction of New Windows in Problems of Digital Speech Analysis and Modeling

Victor Filippovich Kravchenko
Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 11-7, Mokhovaya St., Moscow 125009, Russia; Bauman Moscow State Technical University, 5, Vtoraya Baumanskaya St., Moscow 105005 Russia; Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences, 15, Butlerova St., Moscow 117342, Russia
Miklhail Alekseevich Basarab
Bauman Moscow Slate Technical University, Russia
Hector Manuel Perez-Meana
National Polytechnic Institute of Mexico

RÉSUMÉ

This paper examines the application of a new tool for mathematical analysis, so-called atomic functions, to problems associated with the mathematical processing of speech. Processing methods based on atomic functions are distinguished by high accuracy, flexibility, and efficiency. Both the necessary preliminary information from the theory of atomic functions and specific applications to problems of synthesis of weighting windows and filters for digital speech processing are described.