On the Daubechies Polynomials
نویسندگان
چکیده
We show that with small modifications in diverse expressions for the shifted Legendre polynomials, we can obtain the corresponding relations for Daubechies polynomials.
منابع مشابه
On the Distribution of Zeros for Daubechies Orthogonal Wavelets and Associated Polynomials
In the last decade, Daubechies orthogonal wavelets have been successfully used in many signal processing paradims. 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, a subclass of polyn...
متن کاملLocating Zeros of Polynomials Associated With Daubechies Orthogonal Wavelets
In the last decade, Daubechies orthogonal wavelets have been successfully used and proved their practicality 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 them should exhibit. I...
متن کاملDaubechies Localization Operator in Bargmann - Fock Space and Generating Function of Eigenvalues of Localization Operator
We will express Daubechies localization operators in Bargmann Fock space. We will prove that the Hermite functions are eigenfunctions of Daubechies localization operator. By making use of generating function of eigenvalues of Daubechies localization operator, we will show some reconstruction formulas for symbol function of Daubechies localization operator with rotational invariant symbol.
متن کاملOn the Zeros of Daubechies Orthogonal and Biorthogonal Wavelets
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 them should exhibit. In this paper, orthogonal and Biorthogona...
متن کاملRegularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters
Article history: Received 9 September 2012 Received in revised form 19 December 2013 Accepted 29 December 2013 Available online xxxx Communicated by Peter Oswald
متن کامل