Abstract
In this paper, a novel single carrier equalization approach in the fractional Fourier domain (FRFD) is proposed. It can remove all the inter-symbol interference (ISI) and avoid the considerable noise enhancement of the frequency domain-zero forcing (FD-ZF) equalizer. As the fractional Fourier transform makes a chirp spread, the impulse response of the deep fading channel may be flattened in some orders of the FRFD while it would be greatly attenuated in the FD. By searching for an optimal order under certain criterion, we take advantages of the ZF algorithm to mitigate the effects of the ISI completely. This approach can overcome the contradiction between the ISI mitigation and the noise enhancement of the FD-ZF equalizer. Theoretical analysis and simulation results show that the proposed FRFD-ZF equalizer can achieve a significant performance and have the same computation cost O(N logN) as the conventional FD linear equalizer, especially in the frequency-selective deep-fading channels.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Wang Z, Ma X, Giannakis G B. OFDM or single-carrier block transmission. IEEE Trans Commun, 2004, 52: 380–394
Tarokh V, Jafarkhani H. On the computation and reduction of the peak-to-average ratio in multicarrier communications. IEEE Trans Commun, 2000, 48: 37–44
Cimini L J Jr, Sollenberger N R. Peak-to-average power ratio re-duction of an OFDM signal using partial transmit sequences. IEEE Trans Commun Lett, 2000, 4: 86–88
Falconer D, Ariyavisitakul S L, Benyamin-Seeyar A, et al. Frequency domain equalization for single-carrier broadband wireless systems. IEEE Trans Commun, 2002, 40: 58–66
Proakis J G. Digital Communications. 4h ed. Boston: McGraw Hill, 2001. 444–451
Benvenuto N, Tomasin S. On the comparison between OFDM and single carrier modulation with a DFE using a frequency domain feedforward filter. IEEE Trans Commun, 2002, 50: 947–955
Zhu Y, Letaief K B. Single carrier frequency domain equalization with time domain noise prediction for wideband wireless communications. IEEE Trans Wirel Commun, 2006, 5: 3548–3557
Namias V. The fractional Fourier transform and its application to quantum mechanics. J Inst Math Appl, 1980, 25: 241–265
Almeida L B. The fractional Fourier transform and time-frequency representations. IEEE Trans Signal Process, 1994, 42: 3084–3091
Kutay M A, Ozaktas H M, Arikan O. Optimal filtering in fractional Fourier domains. IEEE Trans Signal Process, 1997, 45: 1129–1143
Pei S C, Ding J J. Closed-form discrete fractional and affine Fourier transforms. IEEE Trans Signal Process, 2000, 48: 1338–1353
Ozaktas H M, Ankan O, Kutay M A. Digital computation of the fractional Fourier transform. IEEE Trans Signal Process, 1996, 44: 2141–2150
Bultheel A, Sulbaran H E M. Computation of the fractional Fourier transform. Appl Comput Harmon A, 2004, 16: 182–202
Candan C, Kutay M A, Ozaktas H M. The discrete fractional Fourier transform. IEEE Trans Signal Process, 2000, 48: 1329–1337
Tao R, Deng B, Wang Y. Research process of the fractional Fourier transform in signal process. Sci China Ser F-Inf Sci, 2006, 49: 1–25
Zayed A I. A convolution and product theorem for the fractional Fourier transform. IEEE Trans Signal Process Lett, 1998, 5: 101–103
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Huang, K., Tao, R. & Wang, Y. Fractional Fourier domain equalization for single carrier broadband wireless systems. Sci. China Inf. Sci. 55, 2257–2268 (2012). https://doi.org/10.1007/s11432-011-4394-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11432-011-4394-5