A performance study on wavelet-based OFDM, particularly using DWT OFDM as substitutions for Fourier-based OFDM with the focus on impulse noise effects is demonstrated. The models of the inverse and forward transforms are discussed. The details about each model and study the BER performance in two scenarios when varying the Poisson recurrence parameter a from small to large are also included. The wavelet-based OFDM (DWT-OFDM) is assumed to have orthonormal bases and perfect reconstruction properties. Results show that a large value of a limits the impact of impulsive noise on the system. Comparisons of impulsive noises in terms of BER for both OFDM platforms are also demonstrated.