Noise squared norm in OFDM systems interfered by impulse noise

In this paper we derive exact analytical expressions for the noise squared norm in the frequency domain for Orthogonal Frequency-Division Multiplex (OFDM) considering the two generic scenarios: i) OFDM signal is affected by M randomly positioned Gaussian impulses within the L-sized frame and ii) OFDM signal is affected by the Gaussian white noise (background noise) and M randomly positioned Gaussian impulses within the L-sized frame. Analysis of the noise squared norm in (OFDM) is a completely novel approach, and we exploit it in an accurate evaluation of the performance including the distribution of errors per OFDM frame and the frame error rate. Numerical results obtained for the noise squared distribution are compared with Monte Carlo simulations. The comparison shows a full agreement even when the number of impulses and the frame size are low.