Reliability of Trigonometric Transform-based Multi-Carrier Scheme

Keywords: Multi carrier Modulation, OFDM, DFT, DCT, DTT


This work is looking for a new physical layer of a multi-carrier wireless communication system to be implemented in low complexity way, resorting to suitable fast transform. The work presents and assesses a scheme based on Discrete Trigonometric Transform with appending symmetric redundancy either in each or multiple consecutive transformed blocks. A receiver front-end filter is proposed to enforce whole symmetry in the channel impulse response, and bank of one tap filter per sub-carrier is applied as an equalizer in the transform domain. The behaviour of the transceiver is studied in the context of practical impairments like fading channel, carrier frequency offset and narrow band interference. Moreover, the performance is evaluated in contrast with the state of art methods by means of computer simulations, and it has been found that the new scheme improves robustness and reliability of communication signal, and record lower peak to average power ratio. The study demonstrates that front-end matched filter effectively performs frequency synchronization to compensate the carrier frequency offset in the received signal.


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Author Biography

Samah A. Mustafa, Department of Electrical Engineering, College of Engineering, Salahaddin University-Erbil, Erbil, Kurdistan Region.

Samah Mustafa received her BSc and MSc degree in Electronic and Communication Engineering from Mosul University at 1992, 1998 respectively, and PhD degree in Electronic and Communication Engineering from Baghdad University at 2004. She has worked as a visiting lecturer in Technical College and Technical Institute, Kirkuk during 1992-1996. Since 1999 she has been an academic staff with the Electrical Department in the College of Engineering Salahaddin University, Kurdistan-Iraq. Dr. Samah was a recipient of the IWFF Award in 2009, Endeavour Research Fellowship Award in 2012 and the FTFF award in 2013. She was a visiting academic at the School of EECS at the University of California, Berkeley during 2009-2010, and a visiting academic at the School of ITEE at the University of Queensland during 2012-2103. Her research interests include digital communication systems, signal processing, wireless network and Microwave imaging.


Al-Dhahir, N.; Minn, H. Optimum CDT-Based Multicarrier Transceivers for Frequency-Selective Channels. IEEE Transaction on Communications, 2006, vol. 54, no. 5, pp. 911-921.

Barsanti, R.J.; Larue,J. Peak to average power ratio reduction for digital video broadcast T2, Southeastcon IEEE, pp. 117-121, 2011.

Bouzegzi, A.; Ciblat, P.; Jallon, P. Matched Filter Based Algorithm for Blind Recognition of OFDM Systems, 68th IEEE Vehicular Technology Conference, pp. 1-5, 2008.

Chafii, M.; Palicot, J.; Gribonval, R.; Bader, F. A Necessary Condition for Waveforms With Better PAPR Than OFDM, IEEE Transaction on Communication, 2016, vol. 64, no. 8, pp. 3395-3405.

Cruz-Roldan, F.; Dominguez-Jimenez, M. E.; Vidal, G. S.; Amo-Lopez, P.; Blanco-Velasco, M.; Bravo-Santos, A. On the use of discrete cosine transforms for multicarrier communications. IEEE Transaction on Signal Processing, 2012, vol. 60, pp. 6085–6090.

Domınguez-Jimenez, M.; Sansigre, G.; Amo-Lopez, P. ; Cruz-Roldan, F. DCT Type-III for Multicarrier Modulation, In proceeding 19th European Signal Processing Conference (EUSIPCO 2011), pp. 1593-1597, Barcelona, Spain, August- September, 2011.

Feifei, G. ; Tao, C. ; Nallanathan, A.; Tellambura, A. Maximum likelihood based estimation of frequency and phase offset in DCT OFDM systems under non-circular transmissions: Algorithms, analysis and comparisons. IEEE Transaction on Communication, 2008, vol. 56, no. 9, pp. 1425-1429.

Gupta, P.; Jain, S. Peak to average power ratio reduction in OFDM using higher order partitioned PTS sequence and Bose Chaudhuri Hocquenghem Codes, In Proceeding International Conference on Signal Processing and Communication Engineering SPACES, 2015.

Hasan, M. A novel CVM precoding scheme for PAPR reduction in OFDM transmissions. Wireless Networks, 2014, vol. 20, no. 6, pp 1573-1581.

Lin, J.-C. Coarse frequency-offset acquisition via subcarrier differential detection for OFDM communications. IEEE Transactions on Communications, 2006, vol.54, no.8, pp.1415-1426.

Mustafa, S. ; Hikmat V. ; Shekha, S. Wavelet Filter Bank-Based Non Uniform Multi-tone Transceiver for Digital Subscriber Line. In Proceeding IEEE 11th International Conference on Computer and Information Technology, pp. 197-203, 2011.

Ren, X. ; Tao M. ; Chen, W. Compressed Channel Estimation with Position-Based ICI Elimination for High-Mobility SIMO-OFDM Systems. IEEE Transactions on Vehicular Technology, 2016, vol. 65, no.8, pp. 6204-6216.

S´anchez, V.; Garc´ıa, P.; Peinado, A. M.; Segura, J. C.; Rubio, A. J. Diagonalizing properties of the Discrete Cosine Transforms. IEEE Transactions. on Signal Processing, 1995, vol. 43, no. 11, pp. 2631-2641.

Shin, W.-J. ; Lee, S.; You, Y.-H. A Robust Joint Frequency Offset Estimation for the OFDM System Using Cyclic Delay Diversity, Wireless Personal Communications, 2014, vol. 77, no. 4, pp. 2483-2496.

Sirvi, S.; Tharani, L. Wavelet based OFDM system over flat fading channel using NLMS equalization. In Proceeding International Conference on Computing, Communication and Automation (ICCCA), 2016.

Strang, G., The discrete cosine transform, SIAM Rev., 1999, vol. 41, no. 1, pp. 135-147.

Tse, D.; Viswanath, P. Fundamentals of Wireless Communications, Cambridge Univ. Press, 2005.

Wang, Z.; Zhang. S.; Qiu, B. PAPR reduction of OFDM signal by using hadamard transform in companding techniques, 12th IEEE International Conference on Communication Technology, pp. 320-323, 2010

How to Cite
Mustafa, S. A. (2018) “Reliability of Trigonometric Transform-based Multi-Carrier Scheme”, ARO-THE SCIENTIFIC JOURNAL OF KOYA UNIVERSITY, 6(2), pp. 49-55. doi: 10.14500/aro.10312.