Np. Willis et Y. Bresler, LATTICE-THEORETIC ANALYSIS OF TIME-SEQUENTIAL SAMPLING OF SPATIOTEMPORAL SIGNALS .1., IEEE transactions on information theory, 43(1), 1997, pp. 190-207
Citations number
30
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, Using the powerful techniques of la
ttice, theory, we develop a new unifying theory linking TS sampling wi
th generalized multidimensional sampling, The results have a geometric
nature, involving simultaneous packing of the spectral and spatial su
pports in their respective domains, We provide a complete characteriza
tion of TS lattice patterns, and, extending the study to temporally no
nuniform patterns, analyze their minimum and average temporal sampling
rates, Unlike previous studies of TS sampling, our results apply to v
ery general multidimensional spatial and spectral supports, We present
tight bounds on the temporal parameters of those TS sampling patterns
that produce zero aliasing error, Part II of this paper determines la
rge space-spatial-bandwidth-product asymptotics for these bounds, The
use of a TS sampler for bufferless source coding of spatiotemporal sig
nals is considered as an attractive possibility.