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As the technique of orthogonal frequency-division multiplexing (OFDM) has the ability to overcome the effect of multipath and to obtain high spectral efficiency of the communication channel, it is generally considered as one of the most effective methods to realize the high-speed digital communication system over the low-voltage powerline. This paper proposes a novel OFDM method, in which the cosine carriers of the conventional OFDM system are replaced with the orthonormal wavelets. A quantitative index used to measure the multipath interference, including the intersymbol interference (ISI) and the interchannel interference (ICI), is induced with a filter bank-based multicarrier transmission system model. The effectiveness of the proposed OFDM over the conventional OFDM in reducing both the ISI and the ICI is verified on a model obtained from the measurements of a practical low-voltage powerline communication channel.