Title :
Additive random sampling and exact reconstruction
Author :
Lacaze, B. ; Duverdier, A.
Author_Institution :
ENSEEIHT, Toulouse, France
Abstract :
This paper treats the case where Z(t) is a continuous wide sense stationary process which is sampled at instants tn=n+An , n∈Z. The series of random gaps An is stationary in the sense weaker than strict second order. We present a necessary and sufficient condition (NSC) for the exact (mean square) linear reconstruction of Z (t)
Keywords :
random processes; signal reconstruction; signal sampling; additive random sampling; continuous wide sense stationary process; exact reconstruction; mean square linear reconstruction; necessary condition; random gaps; random process; sufficient condition; Additives; Circuits and systems; Extraterrestrial measurements; Hilbert space; Jitter; Power measurement; Sampling methods; Stochastic processes; Sufficient conditions;
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
DOI :
10.1109/ISIT.1995.550406