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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 52-675
Full Name: Jalal Karam
Position: Associate Professor
Age: ON
Sex: Male
Address: Alfaisal University
Country: SAUDI ARABIA
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E-mail address: jkaram@alfaisal.edu
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Title of the Paper: On the Zeros of Daubechies Orthogonal and Biorthogonal Wavelets
Authors as they appear in the Paper: JALAL KARAM
Email addresses of all the authors: jkaram@alfaisal.edu
Number of paper pages: 10
Abstract: In the last decade, Daubechies wavelets have been successfully used in many signal processing paradigms. The construction of these wavelets via two channel perfect reconstruction filter bank requires the identification of necessary conditions that the coefficients of the filters and the roots of binomial polynomials associated with it should exhibit. In this paper, orthogonal and Biorthogonal Daubechies families of wavelets are considered and their filters are derived. In particular, the Biorthogonal wavelets $Bior3.5$, $Bior3.9$ and $Bior6.8$ are examined and the zeros distribution of their polynomials associated filters are located. We also examine the locations of these zeros of the filters associated with the two orthogonal wavelets $db6$ and $db8$.
Keywords: Orthogonal, Biorthogonal Wavelets, Binomial Polynomials.
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How Did you learn about congress: Zeros Distribution of Daubechies Orthogonal and Biorthogonal Wavelets
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