Question: Does it make sense to perform compressed sampling if the non zero samples are grouped in time? If so, what is the minimal length of the vector x that should be acquired to allow full signal reconstruction (of at least the non zero pulse segments)?
$y=\phi x$, where y is the compressed vector and x is the signal (sampled at nyquist)
Situation: time sparse signal (+- 97 % of the samples at noise level), but the 3% non zero samples are grouped (periodic). I'm only interested in the pulse samples (so not in the noise floor samples).
Thanks a lot!