Symmetric tight framelet filter banks with three high-pass filters
نویسندگان
چکیده
منابع مشابه
Symmetric Tight Framelet Filter Banks with Three High-pass Filters
In this paper we continue our investigation of symmetric tight framelet filter banks (STFFBs) with a minimum number of generators in [7]. In particular, we shall systematically study STFFBs with three high-pass filters which are derived from the oblique extension principle. To our best knowledge, except the papers [1, 11], there are no other papers in the literature so far systematically studyi...
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The oblique extension principle introduced in [3, 5] is a general procedure to construct tight wavelet frames and their associated filter banks. Symmetric tight framelet filter banks with two high-pass filters have been studied in [13, 16, 17]. Tight framelet filter banks with or without symmetry have been constructed in [1]–[21] and references therein. This paper is largely motivated by severa...
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This paper studies the construction of hexagonal tight wavelet frame filter banks which contain three “idealized” high-pass filters. These three high-pass filters are suitable spatial shifts and frequency modulations of the associated low-pass filter, and they are used by Simoncelli and Adelson in [37] for the design of hexagonal filter banks and by Riemenschneider and Shen in [30, 31] for the ...
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Dual wavelet frames and their associated dual framelet filter banks are often constructed using the oblique extension principle. In comparison with the construction of tight wavelet frames and tight framelet filter banks, it is indeed quite easy to obtain some particular examples of dual framelet filter banks with or without symmetry from any given pair of low-pass filters. However, such constr...
متن کاملSplitting a Matrix of Laurent Polynomials with Symmetry and itsApplication to Symmetric Framelet Filter Banks
Let M be a 2 × 2 matrix of Laurent polynomials with real coefficients and symmetry. In this paper, we obtain a necessary and sufficient condition for the existence of four Laurent polynomials (or FIR filters) u1, u2, v1, v2 with real coefficients and symmetry such that [ u1(z) v1(z) u2(z) v2(z) ] [ u1(1/z) u2(1/z) v1(1/z) v2(1/z) ] = M(z) ∀ z ∈ C\{0} and [Su1](z)[Sv2](z) = [Su2](z)[Sv1](z), whe...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2014
ISSN: 1063-5203
DOI: 10.1016/j.acha.2013.11.001