Title :
Oversampling invariance of wavelet frames
Author :
Gopinath, R.A. ; Burrus, C.S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
Abstract :
It is shown that for all wavelet frames that have filter banks associated with them, oversampling by a factor of N preserves the frame property with the same dual frame (oversampled by N) iff (N, M)=1. In particular, tight frames are preserved by oversampling by N, with (N, M)=1. The results are sharper for the case of filter bank (FB) wavelet frames. It is conjectured that all compactly supported wavelet frames are FB wavelet frames
Keywords :
filtering and prediction theory; wavelet transforms; filter banks; oversampling invariance; wavelet frames; Channel bank filters; Convolution; Ear; Filter bank; Finite impulse response filter; Frequency division multiplexing; Hilbert space; Speech coding; Speech synthesis; Stability;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274139
