Title :
Sampling set conditions for shift-invariant signal spaces
Author_Institution :
Dept. of Math., Zhejiang Univ., Hangzhou, China
Abstract :
In this research letter, we investigate the sampling set for the shift-invariant spaces, where the generator of shift-invariant spaces belongs to Wiener-amalgam space. Furthermore, a sufficient condition of sampling set for general shift-invariant spaces is derived, which is the partial solution of Aldroubi-Grochenig conjecture (Aldroubi and Grochenig, 2000).
Keywords :
signal sampling; Aldroubi-Grochenig conjecture; Wiener amalgam space; sampling set conditions; shift invariant signal spaces; Image processing; Image reconstruction; Image sampling; Mathematics; Reconstruction algorithms; Sampling methods; Signal processing; Signal sampling; Tin; Upper bound;
Conference_Titel :
Signals, Circuits and Systems, 2005. ISSCS 2005. International Symposium on
Print_ISBN :
0-7803-9029-6
DOI :
10.1109/ISSCS.2005.1509874
