Abstract Compressed sensing has captured considerable attention of researchers in the past decades. In this paper, with aid powerful null space property, some deterministic recovery conditions are established for previous $$\ell _{1}$$ ℓ 1 – method and _{2}$$ 2<...

This paper discusses the problem of system identification when frequency domain side-information is available. We mainly consider case where provided as H∞-norm being bounded by a given scalar. framework allows considering different forms side-information, such dissipativity system. propose nonparametric approach for estimating impulse response under side-information. The estimation formulated ...