Performance Analysis of Asynchronous FFH-MA under the Presence of the Frequency Offset

Jeungmin Joo, Kanghee Kim, Hyunduk Kang, and Kiseon Kim,
Department of Information and Communications, Kwangju Institute of Science and Technology, Kwangju, Republic of Korea, gangsang@kjist.ac.kr

DOI: 10.36724/2664-066X-2021-7-5-26-30

SYNCHROINFO JOURNAL. Volume 7, Number 5 (2021). P. 26-30.

Abstract

In order to investigate the effect of asynchronous fast frequency hopping-multiple access (FFH-MA) systems due to the frequency offset, we evaluate the bit error rate (BER) performance, using noncoherent M-ary frequency shift keying (FSK) modulation in the Rayleigh fading channel. While the frequency offset increases at a given signal to noise ratio (SNR), the BER is severely degraded due to the loss of orthogonality of received symbols. With 10% frequency offset, about 5 dB SNR is required additionally to obtain 2 x 10-3 BER, compared to that in the perfectly frequency synchronized case. For the SNR of more than 20 dB, the threshold level of the receiver suffering from the frequency offsets should be greater than that of the perfectly synchronized receiver.

Keywords: Hysteretic Oscillator, Frequency domain techniques, Floquet’s multipliers.

References

[1] S. Glisic, Z. Nikolic, N. Milosevic, and A. Pouttu, “Advanced frequency hopping modulation for spread spectrum WLAN,” IEEE J. Select. Areas Commun., vol. 18, no. 1, pp. 16-29, Jan. 2000.
[2] G. Cooper and R. Nettleton, “A spread pecturm technique for high capacity mobile communication,” IEEE Trans. Veh. Technol., vol. VT- 27, pp. 264-275, Nov. 1978.
[3] D. Goodman, P. Henry, and V. Prabhu, “Frequency-hopped multilevel FSK for mobile radio,” Bell. Syst. Tech. J., vol. 59, pp. 259-264, Sept. 1980.
[4] R. Muammar, “Degadation in FH-MFSK mobile radio system capacity due to Rayleigh fading and log-normal shadowing,” IEEE Trans. Veh. Technol., vol. 37, no. 3, pp. 130-134, Aug. 1988.
[5] P. Yegani and C. McGillem, “FH-MFSK multiple-access communications systems performance in the factory environment,” IEEE Trans. Veh. Technol., vol. 42, no. 2, pp. 148-155, May 1993.
[6] E. Geraniotis and J. Gluck, “Coded FH/SS communications in the Presence of combined partial band jamming, Rician non-selective fading and multipath User interference, ” IEEE J. Select. Areas Commun., vol. 5, pp. 194-210, 1987.
[7] E. Geraniotis, “Noncoherent hybrid DS/SFH spread-spectrum multiple- access communications, ”IEEE Trans. Commun., vol. 34, pp. 862-872, Sept. 1986. [8] J. Wang and M. Moeneclaey, ”Multiple hops/symbol FFH-SSMA with MFSK modulation and Reed-Solomon coding for indoor radio, ” IEEE Trans. Commun., vol. 41, pp. 793-801, May 1993.
[9] E. Geraniotis, “Multiple-access capability of frequency-hopped spread- specturm revisited: an analysis of the effect of unequal power levels, ” IEEE Trans. Commun., vol. 38, pp. 1066-1077, July 1990.
[10] C. Keller, ”An exact analysis of hits in frequency-hopped spread- spectrum multiple-access communications,” Proc. Conf. Inform. Sci. Syst., pp. 981-986 Mar. 1988.
[11] Q. Zhang and L. Tan, “Performance optimization of asynchronous FFH- SSMA systems over multipath Rayleigh channels subject to practical constraints,” Proc. ICCT’96, vol. 1, pp. 599-602, May 1996.
[12] Y. Su, Y. Shen, and C. Hsiao. “On the detection of a class of fast frequency-hopped multiple access signals,” IEEE J. Select. Areas Com- mun., vol. 19, pp. 2151-2164, Nov. 2001.
[13] I. Gradshteyn and I. Ryzhik, Table of integral, series, and products, Academic press, 2000.
[14] E. Geraniotis and M. Pursley, “Error probabilities for slow frequency- hop spread-spectrum multiple-access communications over fading chan- nels, ” IEEE Trans. Commun., vol. COM-30, pp. 996-1009, May 1982.