Title :
New sampling theorems for MRA subspaces
Author :
Djokovic, Igor ; Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
The existing sampling theory for MRA subspaces is generalized to several more cases. We consider derivative sampling, multiband sampling and sampling of wide sense stationary (WSS) random processes. We also show that the synthesizing functions form a Riesz basis for the corresponding MRA subspace The case of wavelet subspaces is also considered
Keywords :
random processes; signal sampling; wavelet transforms; MRA subspaces; Riesz basis; derivative sampling; multiband sampling; sampling theorems; sampling theory; synthesizing functions; wavelet subspaces; wide sense stationary random processes; Convergence; Fourier transforms; Random processes; Sampling methods; Space technology;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.480423
