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Telecommunications and Radio Engineering

ISSN Print: 0040-2508
ISSN Online: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v67.i10.10
pages 853-865

Properties of Different Wavelet Filters used for Ultrasound and Mammography Compression

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
Volodymyr Ponomaryov
Instituto Politécnico Nacional, Mexico-city, Mexico
J. L. Sanchez-Ramirez
National Polytechnic Institute of Mexico, Mexico-city

ABSTRACT

In this paper, the analysis of different Wavelets also including new Wavelets families based on atomic functions are presented, especially for Ultrasound (US) and Mammography (MG) image compression. This way we are able to determine what type of filters Wavelet works better for a specialized compression scheme for this type of images. Key properties: Frequency response, Approximation Order, Projection cosine, and Riesz bounds are determined and compared for the classic Wavelets W9/7 used in standard JPEG2000, Daubechies8, Symlet8, as well as for the complex Kravchenko-Rvachev wavelets ψ(t) based on the Atomic Functions up(t), fup2(t), and eup(t). The comparison results show significantly better performance of novel Wavelets that is justified by experiments and in the investigations of the Key properties.