Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)
Pacific Grove, CA, USA
Oct. 31, 1994 to Nov. 2, 1994
B.P. Anderson , Dept. of Electr. Eng., Wright Res. & Dev. Center, Wright-Patterson AFB, OH, USA
G.T. Warhola , Dept. of Electr. Eng., Wright Res. & Dev. Center, Wright-Patterson AFB, OH, USA
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.<
wavelet transforms, signal reconstruction, discrete time filters
B. Anderson and G. Warhola, "Rational resolution decompositions for signal processing," Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC), Pacific Grove, CA, USA, 1995, pp. 938-942.