On Analysis And Synthesis Operators And Characterization Of The Synthesis Matrix Of A Frame In Terms Of The Frame Operator
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Date
2018Author
Njagi, L.
Nzimbi, B.M.
Moindi, S.K.
Type
ArticleLanguage
enMetadata
Show full item recordAbstract
In this research paper we introduce the operators associated with a frame. That is the Analysis
and the Synthesis Operators and their basic properties. The structure of matrix representation
of the Synthesis operator is also analysed. This matrix is what most frame constructions in fact
focus on. The frame operator which is just the joining together of the analysis and synthesis
operators is fundamental for the reconstruction of signals form frame coefficients. We also give
a complete characterization of the synthesis matrix in terms of the frame operator.
URI
https://profiles.uonbi.ac.ke/nzimbi/publications/analysis-and-synthesis-operators-and-characterization-synthesis-matrix-frame-terhttp://erepository.uonbi.ac.ke/handle/11295/107275
Citation
Njagi L, Nzimbi BM, Moindi SK. "On analysis and synthesis operators and characterization of the synthesis matrix of a frame in terms of the frame operator." Advance Research in Mathematics and Statistics. 2018;5(12):1-10.Publisher
University of Nairobi
Rights
Attribution-NonCommercial-NoDerivs 3.0 United StatesUsage Rights
http://creativecommons.org/licenses/by-nc-nd/3.0/us/Collections
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