Reversible Hadamard transforms | Zendy

Hakob Sarukhanyan | Zendy; Sos С. Agaian | Zendy; Karen Egiazarian | Zendy; Jaakko Astola | Zendy

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Reversible Hadamard transforms

Author(s) -

Hakob Sarukhanyan,

Sos С. Agaian,

Karen Egiazarian,

Jaakko Astola

Publication year - 2007

Publication title -

facta universitatis - series electronics and energetics

Language(s) - English

Resource type - Journals

eISSN - 2217-5997

pISSN - 0353-3670

DOI - 10.2298/fuee0703309s

Subject(s) - hadamard transform , lapped transform , algorithm , transform coding , mathematics , discrete cosine transform , coding (social sciences) , s transform , arithmetic , computer science , image (mathematics) , computer vision , mathematical analysis , wavelet transform , discrete wavelet transform , statistics , wavelet

A coding method which reconstruct an original digital image without dis- tortion is called "reversible coding". In case of the classi cal block transform coding (Cosine, Hadamard, Haar and etc.) we have to make the number of levels of the trans- form coefficient very large in order to reconstruct the input signal with no distortion. In this paper we propose reversible Hadamard transform matrices. We give a recur- sion methods for generation of various type of real and complex reversible Hadamard transform matrices of higher order and corresponding fast t ransform algorithms.

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