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Prouhet-Thue-Morse sequence and atomic functions in applications of physics and techniques


 

Victor F Kravchenko1,2, Oleg V Kravchenko1,2,3, Yaroslav Y Konovalov2

 

(1. Kotelnikov Institute of Radio-engineering and Electronics, Russian Academy of Sciences,  Moscow 125009, Russia;2. Bauman Moscow State Technical University, Moscow 105005, Russia;3. Scientific and Technological Center of Unique Instrumentation, Moscow 117342, Russia)

 

Abstract: In present article a number of results are described in a systematic way concerning both signal and image processing problems with respect to atomic functions theory and Prouhet-Thue-Morse sequence.

 

Key words: atomic functions; Prouhet-Thue-Morse sequence; digital signal processing; image processing

 

CLD number: TN911.7Document code: A

 

Article ID: 1674-8042(2015)02-0128-14  doi: 10.3969/j.issn.1674-8042.2015.02.005

 

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Prouhet-Thue-Morse序列和原子函数在物理和技术中的应用

 

Victor F Kravchenko1,2, Oleg V Kravchenko1,2,3, Yaroslav Y Konovalov2]

 

(1. Kotelnikov Institute of Radio-engineering and Electronics, Russian Academy of Sciences,  Moscow 125009, Russia;2. Bauman Moscow State Technical University, Moscow 105005, Russia;3. Scientific and Technological Center of Unique Instrumentation, Moscow 117342, Russia)

 

摘要:本文系统地阐述了信号与图像处理中与原子函数理论和Prouhet-Thue-Morse序列相关的大量研究成果。

 

关键词:原子函数; Prouhet-Thue-Morse序列; 数字信号处理; 图像处理

 

引用格式:Victor F Kravchenko, Oleg V Kravchenko, Yaroslav Y Konovalov. Prouhet-Thue-Morse sequence and atomic functions in applications of physics and techniques. Journal of Measurement Science and Instrumentation, 2015, 6(2): 128-141. [doi: 10.3969/j.issn.1674-8042.2015.02.005]

 

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