# Sub nyquist sampling, required number of samples for time sparse grouped signals

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!

• There's something called block sparsity in compressed sensing literature which may be relevant to your question. – Atul Ingle Oct 26 '17 at 18:10