Joint channel and impulsive noise estimation for OFDM based power line communication systems using compressed sensing

Compressed sensing (CS) based joint channel impulse response (CIR) and impulsive noise (IN) estimation is proposed for OFDM systems. Current literature considers CS based CIR and IN estimation as two separate problems. We show that the CIR and IN estimation can be formulated as a single joint problem where the probability of overlap between the supports of IN and CIR in an OFDM frame is significantly low. This allows us to assume that the IN and CIR supports are disjoint. Furthermore, we show that the CS solution from the joint formulation provides improvement in the estimation of CIR and IN as compared to the separate schemes. Numerical simulations verify the improvements in terms of Mean Square Error (MSE), Bit Error Rate (BER) or spectral efficiency offered by the proposed (joint) scheme.