Title :
Rational resolution decompositions for signal processing
Author :
Anderson, Bruce P. ; Warhola, Gregory T.
Author_Institution :
Dept. of Electr. Eng., Wright Res. & Dev. Center, Wright-Patterson AFB, OH, USA
fDate :
31 Oct-2 Nov 1994
Abstract :
In this paper we present the concept of a rational resolution analysis (RRA) which is similar to the M-dilation MRAs, except we allow M to be a positive rational number. The RRA is developed by relaxing the requirement that the successive approximation spaces be embedded. This requires a slightly more complicated scheme for reconstruction and it limits the choices of scaling functions and wavelets which can be used. For discrete-time signal processing, the RRA provides a rational sampling rate change with specific requirements imposed upon the anti-aliasing filter
Keywords :
discrete time filters; signal reconstruction; wavelet transforms; M-dilation MRAs; anti-aliasing filter; discrete-time signal processing; dyadic multiresolution analyses; positive rational number; rational resolution decompositions; rational sampling rate; reconstruction; scaling functions; signal processing; wavelets; Filter bank; Mathematics; Multiresolution analysis; Pressing; Signal analysis; Signal processing; Signal resolution; Signal sampling; Statistical analysis;
Conference_Titel :
Signals, Systems and Computers, 1994. 1994 Conference Record of the Twenty-Eighth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-6405-3
DOI :
10.1109/ACSSC.1994.471598
