This paper presents a novel multicarrier (MC) modulation method based on the linear precoded orthogonal fre- quency division multiplexing (LP-OFDM). For linear precoding an orthogonal transform - the orthogonalized chaotic transform (OCT), which is based on the chaotic 1-D logistic map and the Gram-Schmidt orthonormalization process, is employed. This orthogonal transform based precoding spreads information over the whole orthogonal frequency division multiplexing (OFDM) signal spectrum, therefore providing higher resistance to the multipath propagation and the lower the peak-to-average power ratio (PAPR) level in comparison with the conventional OFDM system. Two types of the LP-OFDM systems are presented: with and without pilot signal precoding. For assessment of newly proposed OCT-OFDM system performance well-known Walsh-Hadamard transform (WHT) based LP-OFDM is used. Baseband communication system models, created using computer simulation environment, have been used in order to investigate the validity of the proposed WHT and OCT based LP-OFDM systems with and without pilot symbol precoding. As a result, the bit error rate (BER) performance over a Relay channel for all the observed LP-OFDM system models and the conventional OFDM model are compared. In addition, the instantaneous power complementary cumulative distribution functions (CCDFs) of the waveforms, transmitted by the OFDM and the LP-OFDM systems, are explored and compared.