Abstract
In fractional Fourier transform (FrFT) based orthogonal frequency division multiple access cellular systems, the inter-cell inference combined with multiple linear frequency modulated (LFM) signals degrades the system performance at the receiver. A novel coordinative stochastic resonance (CSR) filtering method, which is described by an overdamped bistable dynamical system, is proposed to improve the signal-to-interference-plus-noise ratio (SINR), which is defined to characterize CSR in optimal FrFT domain. Simulation results show that the output SINR is effectively improved by the use of CSR filter, which is based on the underlying mechanism that interfering LFM signals cooperate with noise in part to promote particles motion periodically with larger amplitude in a symmetric double well.
References
Wang, H. (2013). Biorthogonal frequency division multiple access cellular system with angle division reuse scheme. Wireless Personal Communications, 70(4), 1553–1573.
Wang, H. (2013). A novel multiuser SISO-BOFDM systems with group fractional fourier transforms scheme. Wireless Personal Communications, 69(2), 735–743.
Collins, J. J., Chow, C. C., & Imhoff, T. T. (1995). Stochastic resonance without tuning. Nature, 376(6537), 231–238.
Gammaitoni, Luca, Hanggi, Peter, Jung, Peter, et al. (1998). Stochastic resonance. Reviews of Modern Physics, 70(1), 223–287.
Collins, J. J., Chow, C. C., & Imhoff, T. T. (1995). Aperiodic stochastic resonance in excitable systems. Physical Reviews E, 52(4), 3321–3324.
Collins, J. J., Chow, C. C., Capela, A. C., et al. (1996). Aperiodic stochastic resonance. Physical Reviews E, 54(5), 5575–5584.
Asdi, A., & Tewfik, A. (1995). Detection of weak signals using adaptive stochastic resonance. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2, 1332–1335.
Kay, S. (2000). Can detect ability be improved by adding noise. IEEE Signal Processing Letters, 7(1), 8–10.
Zozor, S., & Amblard, P. O. (2003). Stochastic resonance in locally optimal detectors. IEEE Transactions on Signal Processing, 51(12), 3177–3181.
Saha, A. A., & Anand, G. (2003). Design of detectors based on stochastic resonance. Signal Processing, 83(6), 1193–1212.
Rousseau, D., & Chapeau-Blondeau, F. (2005). Stochastic resonance and improvement by noise in optimal detection strategies. Digital Signal Processing, 15(1), 19–32.
Chen, H., Varshney, P. K., Michels, J. H., et al. (2006). Theory of the stochastic resonance effect in signal detection: Part 1—Fixed detectors. IEEE Transactions on Signal Processing, 55(7), 3172–3184.
Chen, H., & Varshney, P. K. (2007). Theory of the stochastic resonance effect in signal detection: Part 2-variable detectors. IEEE Transactions on Signal Processing, 56(10), 5031–5041.
Leng, Y., Wang, T., Guo, Y., et al. (2007). Engineering signal processing based on bistable stochastic resonance. Mechanical Systems and Signal Processing, 21(1), 138–150.
Tan, J., Chen, X., Wang, J., et al. (2009). Study of frequency-shifted and re-scaling stochastic resonance and its application to fault diagnosis. Mechanical Systems and Signal Processing, 23(3), 811–822.
Chang, P. S., & Ding, J. J. (2000). Closed-form discrete fractional and affine Fourier transforms. IEEE Transactions on Signal Processing, 48(5), 1338–1353.
Chang, P. S., & Ding, J. J. (2010). Fractional Fourier transform, wigner distribution, and filter design for stationary and nonstationary random processes. IEEE Transactions on Signal Processing, 58(8), 4079–4092.
Tao, R., Li, Y., & Wang, Y. (2010). Short-time fractional Fourier transform and its applications. IEEE Transactions on Signal Processing, 58(5), 2568–2580.
McNamara, B., & Wiesenfeld, K. (1989). Theory of stochastic resonance. Physical Review A, 39(9), 4854–4869.
Lai, Z., Leng, Y., Sun, J., et al. (2012). Weak characteristic signal detection based on scale transformation of Duffing oscillator. Acta Physica Sinica, 61(5), 050503.
Li, Q., Wang, T., Leng, Y., et al. (2007). Engineering signal processing based on adaptive step-changed stochastic resonance. Mechanical Systems and Signal Processing, 21(5), 2267–2279.
He, H., Wang, T., Leng, Y., et al. (2007). Study on non-linear filter characteristic and engineering application of cascaded bistable stochastic resonance system. Mechanical Systems and Signal Processing, 21(7), 2740–2749.
Acknowledgments
This project is supported by the National Natural Science Foundation of China under Grant No. 11301360, the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No. 20120181120089 and the Sichuan Province Office of Education under Grant No. 15ZA0030.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, H., Lv, W., Peng, H. et al. Coordinative Stochastic Resonance Filtering Based Inter-cell Interference Suppression in FrFT-OFDMA Cellular Systems. Wireless Pers Commun 83, 427–440 (2015). https://doi.org/10.1007/s11277-015-2401-7
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-015-2401-7