Open Access Open Access  Restricted Access Subscription or Fee Access

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

(*) Corresponding author

Authors' affiliations



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.
Copyright © 2015 Praise Worthy Prize - All rights reserved.


OFDM; Hartley Transform; FHT & WHT

Full Text:



H. Liu and G. Li, OFDM-based broadband wireless networks; Design and optimization. New Jersey, USA: John Wiley and Sons, Inc., 2005.

Deepa, T., Kumar, R., Low complexity, high throughput layered FFT structure for BI based COFDM systems, (2013) International Review on Computers and Software (IRECOS), 8 (5), pp. 1180-1185.

M. Park, H. Jun, J. Cho, N. Cho, D.Hong, and C. Kang, “PAPR reduction in OFDM transmission using Hadamard transform,” in Proc. IEEE ICC, New Orleans, LA, USA, pp. 430–433, June 2000.

Han, S.H., et al.: ‘An overview of peak-to-average power ratio reduction techniques for multicarrier transmission’, IEEE Wirel. Commun., 12, (2), pp. 56–65 ,2005.

T. Jiang and Y. Wu, “An overview: peak-to-average power ratio reduction techniques for OFDM signals,” IEEE Trans. Broadcast., vol. 54, no. 2, pp.257–268, June 2008.

Baig, I., et al.: ‘PAPR analysis of DHT-precoded OFDM system for M-QAM’. Proc. 2010 ICIAS, Malaysia, June 2010.

Muquet, Z. Wang, G. B. Giannakis, M. de Courville, and P. Duhamel, “Cyclic prefixing or zero padding for wireless multicarrier transmissions,” IEEE Trans. Commun., vol. 50, no. 12, pp. 2136–2148, Dec. 2002.

S. Weinstein and P. Ebert, “Data Transmission by Frequency-Division Multiplexing Using the Discrete Fourier Transform,” IEEE Trans. Commun. Technol., vol. 19, no. 5, pp. 628–634, Oct. 1971.

Arioua, M., Belkouch, S., M'rabet Hassani, M., Efficient 64-point FFT/IFFT processor based on 8-point FFT module for OFDM based WLAN, (2012) International Review on Computers and Software (IRECOS), 7 (1), pp. 92-99.

Sorensen, H.V, Houston, Jones D.L, “ On Computing the Discrete Hartley Transform”, IEEE Trans. Acoustics, Speech and Signal Processing,Vol.33,no.5,pp.1231-1238,Oct 1985.

C. Wang, et al., “Discrete Hartley transform based multicarrier modulation,” in Proc. IEEE ICASSP, Istanbul, pp. 2513–2516, 2000.

M. S. Moreolo, “Performance Analysis of DHT-Based Optical OFDM Using Large-Size Constellations in AWGN,” IEEE Commun. Lett., vol.15, pp. 572–574, May 2011.

C. Jao, S. Long, and M. Shiue, “DHT-Based OFDM System for Passband Transmission Over Frequency-Selective Channel,” IEEE Signal Process. Lett., vol. 17, pp. 699–702, Aug. 2010.

S.Wang, S. Zhu, and G. Zhang, “Walsh-Hadamard coded spectral efficient full frequency diversity OFDM system,” IEEE Trans. Commun., vol. 58, no. 1, pp. 28–34, Jan. 2010.

S. Boussakta and A. G. J. Holt, “Fast algorithm for calculation of both Walsh-Hadamard and Fourier transforms (FWFTs),” IEE Electron. Lett., vol. 25, no.20, pp. 1352–1354, Sep. 1989.

S. S. Kelkar, L. L. Grigsby, and J. Langsnery, “An extension of parseval’s theorem and its use in calculating transient energy in the frequency domain,” IEEE Trans. on Industrial Electronics,, vol. IE-30, no. 1, pp. 42–45, Feb. 1983.

G. Robinson, “Logical convolution and discrete Walsh and Fourier power spectra,” IEEE Trans. Audio Electro acoustic., vol. 20, no. 4, pp. 271–280, Oct. 1972.

Sivanagaraju, V., Siddaiah, P., A Robust Hybrid NDA Estimation Technique for SNR Estimation in OFDM System, (2015) International Journal on Communications Antenna and Propagation (IRECAP), 5 (2), pp. 63-69.

Anoh, K., Mapoka, T., Abd-Alhameed, R., Ochonogor, O., Jones, S., On the Application of Raised-Cosine Wavelets for Multicarrier Systems Design, (2014) International Journal on Communications Antenna and Propagation (IRECAP), 4 (4), pp. 143-150.

Belkadid, J., Benbassou, A., El Ghzaoui, M., PAPR Reduction in CE-OFDM System for Numerical Transmission via PLC Channel, (2013) International Journal on Communications Antenna and Propagation (IRECAP), 3 (5), pp. 267-272.

Anoh, K., Ghazaany, T., Hussaini, A., Abd-Alhameed, R., Jones, S., Rodriguez, J., An Evaluation of Coded Wavelet for Multicarrier Modulation with OFDM, (2013) International Journal on Communications Antenna and Propagation (IRECAP), 3 (2), pp. 83-89.

Gauni, S., Kumar, R., Sankardhayalan, G., Efficient Power Allocation in Turbo Decoded OFDM Systems Using Logarithmic Maximum A-Posteriori Algorithm and Soft Output Viterbi Algorithm Under Various Fading Environments, (2013) International Review on Modelling and Simulations (IREMOS), 6 (3), pp. 966-975.

Mattera, D., Tanda, M., Data-aided synchronization for OFDM/OQAM systems, (2012) Signal Processing, 92 (9), pp. 2284-2292.

Mattera, D., Tanda, M., Preamble-based synchronization for OFDM/OQAM systems, (2011) European Signal Processing Conference, pp. 1598-1602.


  • There are currently no refbacks.

Please send any question about this web site to
Copyright © 2005-2024 Praise Worthy Prize