Title :
A sampling theorem without band-limiting constraints
Author :
Tiande, Guo ; Ziyou, Gao
Author_Institution :
Coll. of Transportation, Northern Jiaotong Univ., Beijing, China
Abstract :
The Shannon (1948) sampling theorem is suitable for processing signals with good mathematical properties, but it is restricted to “band-limited” signals and the sampling function (sinc function) decreases slowly. A sampling theorem for arbitrary continuous signal is established in this paper. It is based on the concept of multiresolution sampling (MRS)
Keywords :
signal resolution; signal sampling; Shannon sampling theorem; continuous signal; mathematical properties; multiresolution sampling; sampling function; sampling theorem; signal processing; sinc function; Constraint theory; Continuous wavelet transforms; Image reconstruction; Image sampling; Multiresolution analysis; Sampling methods; Signal processing; Signal sampling; Smoothing methods; Wavelet transforms;
Conference_Titel :
Signal Processing Proceedings, 2000. WCCC-ICSP 2000. 5th International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-5747-7
DOI :
10.1109/ICOSP.2000.894451
