Np. Willis et Y. Bresler, LATTICE-THEORETIC ANALYSIS OF TIME-SEQUENTIAL SAMPLING OF SPATIOTEMPORAL SIGNALS .2. LARGE SPACE-BANDWIDTH PRODUCT ASYMPTOTICS, IEEE transactions on information theory, 43(1), 1997, pp. 208-220
Citations number
12
Categorie Soggetti
Information Science & Library Science","Engineering, Eletrical & Electronic
We consider the sampling of bandlimited spatiotemporal signals subject
to the time-sequential (TS) constraint that only one spatial position
can be sampled at any given time, Part I of this paper developed a ne
w unifying theory linking TS sampling with generalized multidimensiona
l sampling, It provided a complete characterization of time-sequential
lattice patterns, including tight bounds on the temporal parameters o
f those time-sequential sampling patterns that produce zero aliasing e
rror, In this paper we present large space-spatial-bandwidth product a
symptotics for these bounds, One of the surprising results is that in
many cases, there exist optimal patterns, for which, asymptotically, t
here is no extra penalty for lattice sampling subject to the time-sequ
ential constraint, as compared to unconstrained multidimensional sampl
ing, The implication to source coding is that an optimum encoder for s
patiotemporal signals can be implemented with no buffering or other pr
ocessing using a time-sequential sampler, The results apply to very ge
neral multidimensional spatial and spectral supports (star shaped, or
at most convex).