Recovery of bilevel causal signals with finite rate of innovation using positive sampling kernels
Bilevel signal $ x $ with maximal local rate of innovation $ R $ is a continuous-time signal
that takes only two values 0 and 1 and that there is at most one transition position in any time
period of 1/R. In this note, we introduce a recovery method for bilevel causal signals $ x $
with maximal local rate of innovation $ R $ from their uniform samples $ x* h (nT), n\ge 1$,
where the sampling kernel $ h $ is causal and positive on $(0, T) $, and the sampling rate
$\tau:= 1/T $ is at (or above) the maximal local rate of innovation $ R $. We also discuss …
that takes only two values 0 and 1 and that there is at most one transition position in any time
period of 1/R. In this note, we introduce a recovery method for bilevel causal signals $ x $
with maximal local rate of innovation $ R $ from their uniform samples $ x* h (nT), n\ge 1$,
where the sampling kernel $ h $ is causal and positive on $(0, T) $, and the sampling rate
$\tau:= 1/T $ is at (or above) the maximal local rate of innovation $ R $. We also discuss …
Bilevel signal with maximal local rate of innovation is a continuous-time signal that takes only two values 0 and 1 and that there is at most one transition position in any time period of 1/R.In this note, we introduce a recovery method for bilevel causal signals with maximal local rate of innovation from their uniform samples , where the sampling kernel is causal and positive on , and the sampling rate is at (or above) the maximal local rate of innovation . We also discuss stability of the bilevel signal recovery procedure in the presence of bounded noises.
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