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A New Low Complexity Transform for Peak Power Reduction in Discrete Hartley Transform Based Multicarrier OFDM System

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In this paper, a new low complexity transform which combines the fast Walsh Hadamard transform (WHT) and fast Hartley transform (FHT) into a single fast orthonormal transform is proposed for orthogonal frequency division multiplexing (OFDM) across additive white Gaussian noise (AWGN) channel model. The new transform is developed through the sparse matrices method in OFDM system, which is capable of reducing peak to average power ratio (PAPR) of the transmitted symbols with better bit error rate (BER) performance degradation at a reasonable reduced complexity. The system performance is verified via simulations. Compared with the FHT method, the proposed OFDM signal can be generated by FHT via WHT with lower PAPR and also the computational complexity nearly halved. It reveals that the proposed OFDM has the same BER performance as FHT, but proposed OFDM transceiver shows superiority on computational complexity. The proposed scheme is a cost-effective and efficient multicarrier modulation scheme.
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OFDM; Hartley Transform; FHT & WHT

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