Wavelets And Filter Banks
نویسنده
چکیده
Wavelet and short-time Fourier analysis is introduced in the context of frequency decompo-sitions. Wavelet type frequency decompositions are associated with lter banks, and using thisfact, lter bank theory is used to construct multiplicity M wavelet frames and tight frames. Theway in which lter banks lead to decomposition and recomposition of arbitrary separable Hilbertspaces is also described. E cient computational structures for both lter banks and wavelets arealso discussed. Contact Address:Ramesh A. GopinathDepartment of EE, A235Rice University,Houston, TX-77251Phone (713) 527-8750 x3577email: [email protected] This work was supported by AFOSR under grant 90-0334 funded by DARPA Appears in Wavelets: A Tutorial in Theory and Applications, ed. C.K.Chui, Academic Press WAVELETS AND FILTER BANKS R.A.Gopinath and C.S.BurrusDepartment of Electrical and Computer Engineering,Rice University, Houston, TX-77251 CML TR-91-2030th September '91
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