Paper Info
Title
Analytical Construction and Fast Computation of Frequency Warping Operators and Dual Frame
Abstract
Frequency warping has been introduced as a unitary operator over a nonfinite domain. In practical applications, the need of a feasible implementation forces to redefine frequency warping over finite domains in the framework of redundant transformations called frames, where the unitary property is replaced by the tight frame property, i.e., the adjoint operator behaves as pseudo-inverse. In case a tight frame cannot be designed, inversion can be achieved by finding the dual frame. In this work, with reference to nonsmooth warping functions, we present a new approach to the construction and fast computation of the dual frame operator based on an operator power series. With respect to previous approaches, many limitations are overcome while maintaining important properties of frequency warping.
Year
DOI
Venue
2014
10.1109/TSP.2014.2309552
IEEE Transactions on Signal Processing
Keywords
Field
DocType
computational complexity,matrix decomposition,signal reconstruction,analytical construction,analytical decompositions,computational complexity,dual frame operator,factorizations techniques,fast computation,finite domains,frequency warping operators,nonfinite domain,nonsmooth warping functions,operator power series,pseudo-inverse,reconstruction accuracy,redundant transformations,signal processing algorithms,unitary operator,Dual frame,fast transforms,frequency warping,perfect reconstruction,tight frame
Mathematical optimization,Image warping,Matrix decomposition,Unitary state,Operator (computer programming),Self-adjoint operator,Unitary operator,Mathematics,Computational complexity theory,Computation
Journal
Volume
Issue
ISSN
62
10
1053-587X
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
S. Caporale1164.68
Nicolo Speciale2226.35