Removing impulse noise influence in FBMC system by compressive sensing

Filter Bank Multicarrier (FBMC), so called an evolutionary OFDM, is a multicarrier system which stands out with the feature of lower side-band emission and thus an higher spectrum efficiency than OFDM. However, FBMC is still susceptible to impulse noise interference in time domain like other multicarrier systems. In this article, by using recently well developed Compressive Sensing (CS), we propose a new way to remove impulse noise in FBMC system. Considering the inherent interference in FBMC, first, we eliminate it to get purely available subcarriers. Then, by using these available subcarriers, we develop random construction of observation to guarantee reconstruction with high probability. At last, through simulation, we prove that our scheme can really defend the impulse noise in FBMC.