Title :
Wavelet-based cosine crossings of signals
Author :
Hilton, M.L. ; Panda, P. ; Jawerth, B. ; Sweldens, W.
Author_Institution :
Dept. of Comput. Sci., South Carolina Univ., Columbia, SC, USA
Abstract :
The periodic Bar-David (1974) sampling theorem provides an implicit representation of band limited signals using their crossings with a cosine function to form a multiplicative representation involving a Riesz product. The cosine crossings form a unique and stable representation of the signal. We incorporate the wavelet transform into the cosine crossing representation and show that they may be used to compactly represent overcomplete signal expansions
Keywords :
signal representation; signal sampling; wavelet transforms; Riesz product; band limited signals; cosine crossing representation; cosine function; multiplicative representation; overcomplete signal expansions; periodic Bar-David sampling theorem; wavelet based cosine crossings; wavelet transform; Computer science; Discrete wavelet transforms; Image coding; Image processing; Sampling methods; Scalability; Signal resolution; Video compression; Wavelet coefficients; Wavelet transforms;
Conference_Titel :
Image Processing, 1995. Proceedings., International Conference on
Conference_Location :
Washington, DC
Print_ISBN :
0-8186-7310-9
DOI :
10.1109/ICIP.1995.529038
