Signal reconstruction from noisy multichannel samples

We consider the signal reconstruction problem under case of signals sampled in multichannel way and with presence noise. Observing that if samples are inexact, rigorous enforcement interpolation is inappropriate. Thus reasonable smoothing regularization corrections indispensable. In this paper, we propose several alternative methods for from noisy different principles. compare these theoretically experimentally various situations. To demonstrate effectiveness proposed methods, probability interpretation error analysis provided. Additionally, numerical simulations as well some guidelines to use also presented.