Fast operators for arbitrary warping maps

被引：0
|
作者：
Caporale, Salvatore [1 ]
De Marchi, Luca [1 ]
Speciale, Nicolo [1 ]
机构：
[1] ARCES DEIS Univ Bologna, Bologna, Italy
来源：
PROCEEDINGS OF 2008 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-10 | 2008年
关键词：
D O I：
10.1109/ISCAS.2008.4541631
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this work we describe a mathematical operator for the fast calculation of frequency warping. Such invertible transformation can be used to reshape the tiling of time-frequency analysis in a flexible way. In our approach the warping is computed by splitting the transformation operator in two additive terms: the first term represents its Non-uniform Fourier Transform approximation while the second term is imposed for aliasing suppression. The first transformation is known to be analytically characterized and rapidly computable by interpolation approaches. An analytical characterization of the second transformation operator is proposed for arbitrary shaped non-smooth warping maps commonly used for signal processing applications.
引用
收藏
页码：1168 / 1171
页数：4
相关论文
共 50 条
  • [31] GROUPS OF PERIODS FOR ARBITRARY MAPS ON GROUPS
    Bonciocat, N. C.
    Zaharescu, A.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2005, 74 (02): : 229 - 242
  • [32] TRACE MAPS FOR ARBITRARY SUBSTITUTION SEQUENCES
    AVISHAI, Y
    BEREND, D
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (10): : 2437 - 2443
  • [33] GREAT CIRCLE PLOTS ON ARBITRARY MAPS
    WINKLER, L
    IEEE TRANSACTIONS ON COMMUNICATION TECHNOLOGY, 1966, CO14 (03): : 341 - &
  • [34] Weyl Rule and Pseudo-Differential Operators for Arbitrary Operators
    Cohen, Leon
    PSEUDO-DIFFERENTIAL OPERATORS: ANALYSIS, APPLICATIONS AND COMPUTATIONS, 2011, 213 : 251 - 264
  • [35] On the D-HOMOTHETIC BI-WARPING AND BIHARMONIC MAPS
    Abbes, Mohamed Elmahdi
    Ouakkas, Seddik
    JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, 2020, 18 (02) : 281 - 309
  • [36] On Linear Operators Injective on Arbitrary Subsets
    Chashkin, A. V.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2015, 36 (04) : 466 - 473
  • [37] Quantum synthesis of arbitrary unitary operators
    Hladky, B
    Drobny, G
    Buzek, V
    PHYSICAL REVIEW A, 2000, 61 (02): : 6
  • [38] Dunkl operators for arbitrary finite groups
    Durdevich, Micho
    Sontz, Stephen Bruce
    ADVANCES IN OPERATOR THEORY, 2021, 6 (02)
  • [39] SINGULAR OPERATORS OF ARBITRARY ORDER ON A MANIFOLD
    DYNIN, AS
    DOKLADY AKADEMII NAUK SSSR, 1961, 141 (01): : 21 - &
  • [40] Dunkl operators for arbitrary finite groups
    Micho Đurđevich
    Stephen Bruce Sontz
    Advances in Operator Theory, 2021, 6
12345