Constant envelope FrFT OFDM: spectral and energy efficiency analysis

doi:10.21629/JSEE.2019.03.04

Journal of Systems Engineering and Electronics ›› 2019, Vol. 30 ›› Issue (3): 467-473.doi: 10.21629/JSEE.2019.03.04

• Electronics Technology • Previous Articles Next Articles

Constant envelope FrFT OFDM: spectral and energy efficiency analysis

Mussa Ally DIDA^1,²(), Hao HUAN¹(), Ran TAO¹(), Teng WANG¹(), Didar URYNBASSAROVA^1,*()

¹ School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China
² School of Computational and Communication Science and Engineering, Nelson Mandela African Institute of Science and Technology, Arusha 23000, Tanzania

Received:2017-01-17 Online:2019-06-01 Published:2019-07-04
Contact: Didar URYNBASSAROVA E-mail:mussa.ally@nm-aist.ac.tz;huanhao@bit.edu.cn;taoran@bit.edu.cn;wangteng@bit.edu.cn;didaruzh@mail.ru
About author:DIDA Mussa Ally was born in 1983. He received his Ph.D. degree in Information and Communication Engineering from Beijing Institute of Technology in 2017, Ms.c. in Telecommunications Engineering from University of Dodoma in 2011, and B.Sc. in Computer Engineering and Information Technology from University of Dar es Salaam in 2008. Currently he is working as a lecturer at Nelson Mandela African Institute of Science and Technology in Arusha, Tanzania. His research interests are in the field of digital signal processing, fractional fourier signals and systems, single carrier and multicarier systems. E-mail:mussa.ally@nm-aist.ac.tz|HUAN Hao was born in 1983. He received his B.S. degree from Zhengzhou Univerversity and Ph.D. degree from Beijing Institute of Technology in 2013. In 2016 he was a visiting scholar in the University of Delaware, State of delaware, USA. He is currently a lecturer with the school of Information and Electronics, Beijing Institute of Technology. His research interests include physical layer security for wireless communication, satellite communication, and radar signal processing. E-mail:huanhao@bit.edu.cn|TAO Ran was born in 1964. He received his B.S. degree from Hefei College of Electronic Engineering, Hefei, in 1985 and the M.S. and Ph.D. degrees from Harbin Institute of Technology, Harbin, in 1990 and 1993, respectively. In 2001, he was a senior visiting scholar in the University of Michigan, Ann Arbor. He is currently a professor with the School of Information and Electronics, Beijing Institute of Technology, Beijing, China. He has been a distinguished professor of Changjiang Scholars Program since 2009 and a chief professor of the Program for Changjiang Scholars and Innovative Research Team in University since 2010. His current research interests include fractional Fourier transform with applications, theory and technology for radar and communication systems. E-mail:taoran@bit.edu.cn|WANG Teng was born in 1988. He is currently a Ph.D. candidate at the School of Information and Electronics of Beijing Institute of Technology, China. His research interests lie in the field of physical layer security for wireless communication, timefrequency analysis, fractional Fourier transform and satellite communication. E-mail:wangteng@bit.edu.cn|URYNBASSAROVA Didar was born in 1990. She received her B.Ed. degree in mathematics from Aktobe State Pedagogical Institute, Aktobe, Kazakhzstan, in 2011 and her M.S. degree from the Aktobe State University named after K. Zhubanov, Aktobe, Kazakhstan, in 2013, and Ph.D. degree from Beijing Institute of Technology, Beijing, China, in 2018. Her research interests are in the areas of the Fourier transform, linear canonical transform, time-frequency signal processing, and signal processing for radar and communications. E-mail:didaruzh@mail.ru

Abstract

Abstract:

Constant envelope with a fractional Fourier transformorthogonal frequency division multiplexing (CE-FrFT-OFDM) is a special case of a constant envelope OFDM (CE-OFDM), both being energy efficient wireless communication techniques with a 0 dB peak to average power ratio (PAPR). However, with the proper selection of fractional order, the first technique has a high bit error rate (BER) performance in the frequency-time selective channels. This paper performs further analysis of CE-FrFT-OFDM by examining its spectral efficiency (SE) and energy efficiency (EE) and compare to the famous OFDM and FrFT-OFDM techniques. Analytical and comprehensive simulations conducted show that, the CE-FrFT-OFDM has five times the EE of OFDM and FrFT-OFDM systems with a slightly less SE. Increasing CE-FrFT-OFDM's transmission power by increasing its amplitude to 1.7 increases its SE to match that of the OFDM and FrFT-OFDM systems while slightly reducing its EE by 20% to be four times that of OFDM and FrFTOFDM systems. OFDM and FrFT-OFDM's amplitude fluctuations cause rapid changing output back-off (OBO) power requirements and further reduce power amplifier (PA) efficiency while CE-FrFTOFDM stable operational linear range makes it a better candidate and outperforms the other techniques when their OBO exceeds 1.7. Higher EE and low BER in time-frequency selective channel are attracting features for CE-FrFT-OFDM deployment in mobile devices.

Key words: fractional Fourier transform (FrFT), constant envelope, spectral efficiency (SE), energy efficiency (EE), high power amplifier

Mussa Ally DIDA, Hao HUAN, Ran TAO, Teng WANG, Didar URYNBASSAROVA. Constant envelope FrFT OFDM: spectral and energy efficiency analysis[J]. Journal of Systems Engineering and Electronics, 2019, 30(3): 467-473.

Figures/Tables 8

Fig 1

Fig 2

Fig 3

Fig 4

Fig 5

Table 1

Fig 6

Fig 7

References 25

1	CHIUEH T D, TSAI P Y. OFDM baseband receiver design for wireless communications. Singapore: John Wiley and Sons (Asia).
2	JIANG T, WU Y. An overview: peak-to-average power ratio reduction techniques for OFDM signals. IEEE Trans. on Broadcasting, 2008, 54(2): 257-268.
3	HAN S H. An overview of peak-to-average power ratio reduction techniques for multicarrier transmission. IEEE Wireless Communication, 2005, 12 (2): 56- 65. doi: 10.1109/MWC.2005.1421929
4	THOMPSON S C, AHMED A U, PROAKIS J G, et al. Constant envelope OFDM. IEEE Trans. on Communications, 2008, 56(8): 1300-1312.
5	DIDA M A, HAO H, WANG X, et al. Constant envelope chirped OFDM for power-efficient radar communication. Proc. of the Information Technology, Networking, Electronic & Automation Control Conference, 2016: 298-301.
6	MARTONE M. A multicarrier system based on the fractional Fourier transform for time-frequency-selective channels. IEEE Trans. on Communications, 2001, 49(6): 1011-1020.
7	TAO R, DENG B, WANG Y. Research progress of the fractional Fourier transform in signal processing. Science in China Series F Information Sciences, 2006, 49 (1): 1- 25. doi: 10.1007/s11432-005-0240-y
8	DIDA M A, HAO H, ANJUM M R, et al. Constant envelope chirped OFDM power efficiency. Proc. of the 4th International Conference on Wireless and Optical Communications, 2016: 99020N.
9	DIDA M A, HAO H, WANG T, et al. Constant envelope FrFTOFDM with physical layer security. Proc. of the 7th International Workshop on Computer Science and Engineering, 2017: 794-799.
10	ILIOUDIS C V, CLEMENTE C, PROUDLER I, et al. Constant envelope fractional fourier transform based waveform libraries for MIMO radar. Proc. of the Sensor Signal Processing for Defence, 2014: 1-5.
11	ILIOUDIS C V, CLEMENTE C, PROUDLER I, et al. Performance analysis of fractional waveform libraries in MIMO radar scenario. Proc. of the Radar Conference, 2015: 1119-1124.
12	SAXENA R, SINGH A K, JOSHI H D, et al. Exact BER analysis of FRFT-OFDM system over frequency selective Rayleigh fading channel with CFO. Electronics Letters, 2013, 49 (20): 1299- 1301. doi: 10.1049/el.2013.0980
13	BENALI W, BOT M L, LANGLAIS C, et al. Power consumption of Wi-Fi transceivers. Proc. of the International Symposium on Wireless Communication Systems, 2016: 213-217.
14	HSUE W L, CHANG W C. Real discrete fractional fourier, hartley, generalized fourier and generalized hartley transforms with many parameters. IEEE Trans. on Circuits and Systems I: Regular Papers, 2015, 62(10): 2594-2605.
15	OZAKTAS H M, ARIKAN O, KUTAY M A, et al. Digital computation of the fractional Fourier transform. IEEE Trans. on Signal Processing, 1996, 44(9): 2141-2150.
16	PEI S C, YEH M H. The discrete fractional cosine and sine transforms. IEEE Trans. on Signal Processing, 2001, 49(6): 1198-1207.
17	QIAN Z, MARGALA M. Low-power split-radix FFT processors using Radix-2 butterfly units. IEEE Trans. on Very Large Scale Integration Systems, 2016, 24(9): 1-5.
18	BROKALAKIS A, PALIOURAS V. Using the arithmetic representation properties of data to reduce the area and power consumption of FFT circuits for wireless OFDM systems. Proc. of the Signal Processing Systems, 2011: 7-12.
19	JIANG T, LI C, NI C. Effect of PAPR reduction on spectrum and energy efficiencies in OFDM systems with ClassA HPA over AWGN channel. IEEE Trans. on Broadcasting, 2013, 59(3): 513-519.
20	SHANNON C E. Communication in the presence of noise. Proceedings of the IRE, 2006, 37 (1): 10- 21.
21	GOLDSMITH A. Wireless communications. New York, USA: Cambridge University Press, 2005.
22	THOMAS M C, JOY A T. Elements of information theory. 2nd ed. New York, USA: Wiley, 2006.
23	AMIN O, BEDEER E, AHMED M H, et al. Energy efficiency and spectral efficiency trade-off for OFDM systems with imperfect channel estimation. Proc. of the IEEE International Conference on Communications, 2014: 3559-3564.
24	JOUNG J, HO C K, SUN S. Spectral efficiency and energy efficiency of OFDM systems:impact of power amplifiers and countermeasures. IEEE Journal on Selected Areas in Communications, 2014, 32 (2): 208- 220. doi: 10.1109/JSAC.2014.141203
25	MIAO G, VÄSTBERG A. Energy efficiency in the wideband regime. IEEE Trans. on Wireless Communications, 2013, 12(8): 4102-4109.

SN	Information	Value
1	Subcarrier size	64
2	Guard band	8
3	Modulation type	8-PSK
4	Fractional order	0.1
5	Number of symbols	10 000
6	MI $h_{\bmod } $	1
7	Envelope amplitude (EA)	1.5
8	Doppler frequency/Hz	100
9	Signal delay/μs	1, 10
10	Delayed signal power/dB	-4, -2
11	Subcarrier bandwidth/MHz	2
12	Maximum transmit power/W	3
13	Circuit power/W	0.2
14	Amplifier gain/g	1

[1]	Dongju CAO, Wendong YANG, Hui CHEN, Yang WU, Xuanxuan TANG. Energy efficiency maximization for buffer-aided multi-UAV relaying communications [J]. Journal of Systems Engineering and Electronics, 2022, 33(2): 312-321.
[2]	Cunxiang XIE, Limin ZHANG, Zhaogen ZHONG. Quasi-LFM radar waveform recognition based on fractional Fourier transform and time-frequency analysis [J]. Journal of Systems Engineering and Electronics, 2021, 32(5): 1130-1142.
[3]	Meiyan PAN, Jun SUN, Yuhao YANG, Dasheng LI, Sudao XIE, Shengli WANG, Jianjun CHEN. Improved TQWT for marine moving target detection [J]. Journal of Systems Engineering and Electronics, 2020, 31(3): 470-481.
[4]	Xinhua Wang, Ju Liu, Chao Zhai, Pengbo Xing, and Lina Zheng. Optimization of energy efficiency for the full-duplex massive MIMO systems [J]. Journal of Systems Engineering and Electronics, 2016, 27(2): 326-332.
[5]	Shuyi Jia, Guohong Wang, and Shuncheng Tan. Radial acceleration estimation of multiple high maneuvering targets [J]. Journal of Systems Engineering and Electronics, 2014, 25(2): 183-193.
[6]	Rong Chen and Yiming Wang. Universal FRFT-based algorithm for parameter estimation of chirp signals [J]. Journal of Systems Engineering and Electronics, 2012, 23(4): 495-501.

Constant envelope FrFT OFDM: spectral and energy efficiency analysis

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

Share this article

Figures/Tables 8

References 25

Related Articles 6

Recommended Articles

Metrics

Comments