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1

Sewter, Jonathan, and Anthony Chan Carusone. "Equalizer Architectures for 40-Gb/s Optical Systems Limited by Polarization-Mode Dispersion." International Journal of High Speed Electronics and Systems 15, no. 03 (2005): 549–66. http://dx.doi.org/10.1142/s0129156405003326.

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An analysis of first-order polarization-mode dispersion (PMD) effects in a 40-Gb/s optical system is used to compare different electronic equalizer architectures as potential PMD compensators. Both linear and nonlinear equalizers are considered employing symbol-spaced and fractionally-spaced taps. It is found that a decision feedback equalizer consisting of a 3-tap symbol-spaced feedforward equalizer and a 1-tap feedback equalizer effectively eliminates PMD as the dominant length-limiting factor in most 40-Gb/s optical systems. Such an equalizer would entail less complexity than several previo
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2

Ren, Zhiyong, and Zengli Nie. "A study on adaptive fractionally spaced blind equalization for phase correction in spectrum depth fading channels." Journal of Physics: Conference Series 3019, no. 1 (2025): 012075. https://doi.org/10.1088/1742-6596/3019/1/012075.

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Abstract An adaptive fractionally spaced equalizer based on a modified constant modulus algorithm is studied to overcome the shortcomings of a constant modulus blind equalization algorithm in a spectrum depth fading channel. This paper deduces the fractional-spaced modified constant modulus algorithm and simulates and verifies the performance of the equalizer. The simulation results show that the blind equalizer using the fractionally spaced modified constant modulus algorithm not only avoids the spectrum aliasing caused by the under-sampling of the equalizer and corrects the phase deflection
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3

WANG Jun-bo, 王俊波, 谢秀秀 XIE Xiu-xiu, 曹玲玲 CAO Ling-ling, 盛明 SHENG Ming, and 冯敏 FENG Min. "Fractionally spaced equalizer for indoor visible light communication system." Optics and Precision Engineering 20, no. 1 (2012): 24–30. http://dx.doi.org/10.3788/ope.20122001.0024.

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4

Jie Zhu, Xi-Ren Cao, and Ruey-Wen Liu. "A blind fractionally spaced equalizer using higher order statistics." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 46, no. 6 (1999): 755–64. http://dx.doi.org/10.1109/82.769783.

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5

Im, G. H., and C. K. Un. "A reduced structure of the passband fractionally spaced equalizer." Proceedings of the IEEE 75, no. 6 (1987): 847–49. http://dx.doi.org/10.1109/proc.1987.13808.

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6

Luo, Z. Q. T., Mei Meng, K. M. Wong, and Jian-Kang Zhang. "A fractionally spaced blind equalizer based on linear programming." IEEE Transactions on Signal Processing 50, no. 7 (2002): 1650–60. http://dx.doi.org/10.1109/tsp.2002.1011206.

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7

Han, Zhen, Weiliang Tao, Dan Zhang, and Peng Jiang. "Virtual Space-Time DiversityTurbo Equalization Using Cluster Sparse Proportional Recursive Least Squares Algorithm for Underwater Acoustic Communications." Applied Sciences 13, no. 19 (2023): 11050. http://dx.doi.org/10.3390/app131911050.

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The oceanic positioning, navigation and timing (PNT) network requires high-quality underwater acoustic message transmission. Turbo equalization technology has exhibited superior performance for underwater acoustic (UWA) communications compared with conventional channel equalizers. To overcome the performance reduction caused by severe doubly selective UWA channels, the virtual space-time diversity soft direct-adaptation turbo equalization is proposed for UWA communications. The proposed scheme improves the ability of the typical turbo equalizer to deal with both Doppler and multipath effects f
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8

Hernandez-Garduno, David, and Jose Silva-Martinez. "A CMOS 1 Gb/s 5-Tap Fractionally-Spaced Equalizer." IEEE Journal of Solid-State Circuits 43, no. 11 (2008): 2482–91. http://dx.doi.org/10.1109/jssc.2008.2005536.

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9

Winters, J. H. "Equalization in coherent lightwave systems using a fractionally spaced equalizer." Journal of Lightwave Technology 8, no. 10 (1990): 1487–91. http://dx.doi.org/10.1109/50.59186.

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10

Siller, C. A., and W. Debus. "Decision-directed fractionally spaced equalizer control using time-domain interpolation." IEEE Transactions on Communications 39, no. 2 (1991): 182–86. http://dx.doi.org/10.1109/26.76450.

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11

Banović, Kevin, Mohammed A. S. Khalid, and Esam Abdel-Raheem. "A configurable fractionally-spaced blind adaptive equalizer for QAM demodulators." Digital Signal Processing 17, no. 6 (2007): 1071–88. http://dx.doi.org/10.1016/j.dsp.2006.10.009.

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12

Endres, T. J., B. D. O. Anderson, C. R. Johnson, and M. Green. "Robustness to fractionally-spaced equalizer length using the constant modulus criterion." IEEE Transactions on Signal Processing 47, no. 2 (1999): 544–48. http://dx.doi.org/10.1109/78.740141.

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13

Reznic, Z., C. R. Johnson, and F. L. de Victoria. "Frequency domain interpretation of LMS convergence of a fractionally spaced equalizer." IEEE Signal Processing Letters 3, no. 7 (1996): 206–8. http://dx.doi.org/10.1109/97.508166.

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14

Liu, Yan, and Yuan Min Li. "New FSE Based on MCMA and PLL." Advanced Materials Research 760-762 (September 2013): 467–71. http://dx.doi.org/10.4028/www.scientific.net/amr.760-762.467.

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In the digital transmission system, an efficient fractionally-spaced equalizer (FSE) for blind equalization based on modified constant modulus algorithm (MCMA) and phase locked loop (PLL) is proposed. Comparing with conventional FSE based on famous CMA, the proposed algorithm has not only lower steady-state mean square error and faster convergence rate but also the ability to recover carrier phase rotation. The efficiency of the method is proved by computer simulation.
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15

Ling, F., and S. U. H. Qureshi. "Convergence and steady-state behavior of a phase-splitting fractionally spaced equalizer." IEEE Transactions on Communications 38, no. 4 (1990): 418–25. http://dx.doi.org/10.1109/26.52651.

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16

Wang, Feng, Shuang Wei, and Defu Jiang. "Fractionally Spaced Constant Modulus Equalizer with Recognition Capability for Digital Array Radar." Mathematical Problems in Engineering 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/4792327.

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Fractionally spaced blind equalizer (BE) based on constant modulus criteria is exploited to compensate for the channel-to-channel mismatch in a digital array radar. We apply the technique of recognition to improve the stability and reliability of the BE. The surveillance of the calibration signal and the convergence property of BE are both implemented with recognition description words. BE with cognitive capability is appropriate for the equalization of a digital array radar with thousands of channels and hundreds of working frequencies, where reliability becomes the most concerned indicator.
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17

Scarano, Gaetano, Andrea Petroni, Mauro Biagi, and Roberto Cusani. "Blind Fractionally Spaced Channel Equalization for Shallow Water PPM Digital Communications Links." Sensors 19, no. 21 (2019): 4604. http://dx.doi.org/10.3390/s19214604.

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Underwater acoustic digital communications suffer from inter-symbol interference deriving from signal distortions caused by the channel propagation. Facing such kind of impairment becomes particularly challenging when dealing with shallow water scenarios characterized by short channel coherence time and large delay spread caused by time-varying multipath effects. Channel equalization operated on the received signal represents a crucial issue in order to mitigate the effect of inter-symbol interference and improve the link reliability. In this direction, this contribution presents a preliminary
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18

Wang, Feng, Wei Shen, Defu Jiang, and Shuang Wei. "Fractionally Nyquist Sample Spaced ARMA Blind Equalizer for Direct Signal Recovery in Passive Bistatic Radar." Chinese Journal of Electronics 26, no. 3 (2017): 658–66. http://dx.doi.org/10.1049/cje.2017.01.010.

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19

Torres, Luis M., Francisco J. Cañete, and Luis Díez. "Matched Filtering for MIMO Coherent Optical Communications with Mode-Dependent Loss Channels." Sensors 22, no. 3 (2022): 798. http://dx.doi.org/10.3390/s22030798.

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The use of digital signal processors (DSP) to equalize coherent optical communication systems based on spatial division multiplexing (SDM) techniques is widespread in current optical receivers. However, most of DSP implementation approaches found in the literature assume a negligible mode-dependent loss (MDL). This paper is focused on the linear multiple-input multiple-output (MIMO) receiver designed to optimize the minimum mean square error (MMSE) for a coherent SDM optical communication system, without previous assumptions on receiver oversampling or analog front-end realizations. The influe
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20

Song, Sanquan, and Vladimir Stojanovic. "A 6.25 Gb/s Voltage-Time Conversion Based Fractionally Spaced Linear Receive Equalizer for Mesochronous High-Speed Links." IEEE Journal of Solid-State Circuits 46, no. 5 (2011): 1183–97. http://dx.doi.org/10.1109/jssc.2011.2105670.

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21

Vinoth Babu, K., G. Ramachandra Reddy, and J. Arun Prakash. "Fractionally spaced equalizer based on dynamically varying modulus algorithm for spectrally efficient channel compensation in SC-FDMA based systems." Wireless Networks 20, no. 6 (2013): 1387–98. http://dx.doi.org/10.1007/s11276-013-0678-6.

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22

Treichler, J. R., I. Fijalkow, and C. R. Johnson. "Fractionally spaced equalizers." IEEE Signal Processing Magazine 13, no. 3 (1996): 65–81. http://dx.doi.org/10.1109/79.489269.

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23

Xiaofeng Lin, Sooping Saw, and Jin Liu. "A CMOS 0.25-/spl mu/m continuous-time FIR filter with 125 ps per tap delay as a fractionally spaced receiver equalizer for 1-gb/s data transmission." IEEE Journal of Solid-State Circuits 40, no. 3 (2005): 593–602. http://dx.doi.org/10.1109/jssc.2005.843623.

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24

Sirisuk, P., and A. G. Constantinides. "Blind cascaded fractionally-spaced and baud-spaced equaliser." Electronics Letters 34, no. 17 (1998): 1635. http://dx.doi.org/10.1049/el:19981158.

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25

El-Hennawey, M. S., A. Zerguine, and E. E. Hassan. "Non-equally fractionally-spaced equalisers." Electronics Letters 26, no. 16 (1990): 1254. http://dx.doi.org/10.1049/el:19900808.

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26

Mohamad, H., S. Weiss, M. Rupp, and L. Hanzo. "Fast adaptation of fractionally spaced equalisers." Electronics Letters 38, no. 2 (2002): 96. http://dx.doi.org/10.1049/el:20020064.

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27

Kang, Kyu-Min, and Gi-Hong Im. "Hilbert transformed phase-splitting fractionally spaced equaliser." Electronics Letters 38, no. 14 (2002): 756. http://dx.doi.org/10.1049/el:20020481.

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28

Ling, F. "On training fractionally spaced equalizers using intersymbol interpolation." IEEE Transactions on Communications 37, no. 10 (1989): 1096–99. http://dx.doi.org/10.1109/26.41156.

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29

Ye Li and Zhi Ding. "Global convergence of fractionally spaced Godard (CMA) adaptive equalizers." IEEE Transactions on Signal Processing 44, no. 4 (1996): 818–26. http://dx.doi.org/10.1109/78.492535.

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30

Zhi Ding. "On convergence analysis of fractionally spaced adaptive blind equalizers." IEEE Transactions on Signal Processing 45, no. 3 (1997): 650–57. http://dx.doi.org/10.1109/78.558481.

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31

Faig, Hananel, Dan Sadot, Liron Gantz, and Shai Cohen. "An Efficient Stabilization Process for Analog Fractionally Spaced Equalizers." IEEE Photonics Technology Letters 31, no. 9 (2019): 665–68. http://dx.doi.org/10.1109/lpt.2019.2903275.

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32

Koonkarnkhai, Santi, Piya Kovintavewat, and Phongsak Keeratiwintakorn. "Study of Fractionally Spaced Equalizers for Bit-Patterned Media Recording." IEEE Transactions on Magnetics 51, no. 11 (2015): 1–4. http://dx.doi.org/10.1109/tmag.2015.2437891.

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33

Barton, M. "Performance of SVD-based fractionally spaced equalizers in data transmission systems." IEEE Transactions on Signal Processing 42, no. 9 (1994): 2499–501. http://dx.doi.org/10.1109/78.317872.

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34

Magarini, M., A. Spalvieri, and G. Tartara. "Asymptotic analysis of stabilisation technique for the blind fractionally spaced equaliser." Electronics Letters 32, no. 21 (1996): 1947. http://dx.doi.org/10.1049/el:19961327.

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35

Yeste Ojeda, Omar A., and Jesus Grajal. "The Relationship Between the Cyclic Wiener Filter and Fractionally Spaced Equalizers." IEEE Transactions on Signal Processing 67, no. 16 (2019): 4333–41. http://dx.doi.org/10.1109/tsp.2019.2928946.

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36

Lei Qin, Jian Xiong, Wenjun Zhang, and Jiejun Chen. "Fractionally spaced adaptive decision feedback equalizers with applications to ATSC DTV receivers." IEEE Transactions on Consumer Electronics 50, no. 4 (2004): 999–1003. http://dx.doi.org/10.1109/tce.2004.1362490.

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37

Vandendorpe, Luc. "Fractionally spaced linear and DF Mimo equalizers for multitone systems without guard time." Annales Des Télécommunications 52, no. 1-2 (1997): 21–30. http://dx.doi.org/10.1007/bf03001046.

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38

Narimani, Ghassem, Philippa A. Martin, and Desmond P. Taylor. "Spectral Analysis of Fractionally-Spaced MMSE Equalizers and Stability of the LMS Algorithm." IEEE Transactions on Communications 66, no. 4 (2018): 1675–88. http://dx.doi.org/10.1109/tcomm.2017.2780086.

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39

Shah, S. Faisal A., Lei Wang, Chuandong Li, and Zhuhong Zhang. "Low-Complexity Design of Noninteger Fractionally Spaced Adaptive Equalizers for Coherent Optical Receivers." IEEE Signal Processing Letters 23, no. 9 (2016): 1289–93. http://dx.doi.org/10.1109/lsp.2016.2584780.

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40

Skowratananont, K., S. Lambotharan, and J. A. Chambers. "Improved convergence of fractionally-spaced constant modulus equalisers in presence of noise." Electronics Letters 34, no. 17 (1998): 1644. http://dx.doi.org/10.1049/el:19981157.

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41

Junyu Mai and A. H. Sayed. "A feedback approach to the steady-state performance of fractionally spaced blind adaptive equalizers." IEEE Transactions on Signal Processing 48, no. 1 (2000): 80–91. http://dx.doi.org/10.1109/78.815481.

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42

LeBlanc, James P., Inbar Fijalkow, and C. Richard Johnson. "CMA fractionally spaced equalizers: stationary points and stability under i.i.d. and temporally correlated sources." International Journal of Adaptive Control and Signal Processing 12, no. 2 (1998): 135–55. http://dx.doi.org/10.1002/(sici)1099-1115(199803)12:2<135::aid-acs484>3.0.co;2-z.

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43

Tugnait, J. K. "On fractionally spaced blind adaptive equalization under symbol timing offsets using Godard and related equalizers." IEEE Transactions on Signal Processing 44, no. 7 (1996): 1817–21. http://dx.doi.org/10.1109/78.510629.

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44

Waseem, Khan. "Increasing Convergence Rate of a Fractionally-Spaced Channel Equalizer." International Journal of Electrical, Electronic and Communication Sciences 3.0, no. 7 (2010). https://doi.org/10.5281/zenodo.1334027.

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In this paper a technique for increasing the convergence rate of fractionally spaced channel equalizer is proposed. Instead of symbol-spaced updating of the equalizer filter, a mechanism has been devised to update the filter at a higher rate. This ensures convergence of the equalizer filter at a higher rate and therefore less time-consuming. The proposed technique has been simulated and tested for two-ray modeled channels with various delay spreads. These channels include minimum-phase and nonminimum- phase channels. Simulation results suggest that that proposed technique outperforms the conve
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45

Tara.Saikumar, Nirmala Devi R., and Kishna Rao K. "Adaptive MMSE Equalizer for Blind Fractional Spaced CMA Channel Equalization through LMS Algorithm." February 29, 2012. https://doi.org/10.5121/ijasuc.2012.3104.

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The adaptive algorithm has been widely used in the digital signal processing like channel estimation, channel equalization, echo cancellation, and so on. One of the most important adaptive algorithms is the LMS algorithm. We present in this paper an multiple objective optimization approach to fast blind channel equalization. By investigating first the performance (mean-square error) of the standard fractionally spaced CMA (constant modulus algorithm) equalizer in the presence of noise, we show that CMA local minima exist near the minimum mean-square error (MMSE) equalizers. Consequently, Fract
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46

Hayfa, Fhima, Roviras Daniel, and Bouallegue Ridha. "Analysis of Fractionally Spaced Widely Linear Equalization over Frequency Selective Channels With Multiple Interferences." August 31, 2019. https://doi.org/10.5121/ijwmn.2019.11401.

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This paper deals with the performance analysis of both linear (LE) and widely linear (WLE) equalization processes studied in the symbol spaced mode (SSE) as well as in the fractionally spaced one (FSE). This analysis is evaluated - using Matlab software- in terms of bit error rate (BER) and mean square error (MSE) in a system using a rectilinear modulation of type Pulse Amplitude Modulation (PAM) over a frequency selective channel and corrupted by multiple interferences. Moreover, the impact of the number of external interferers on the behavior of the different equalizers is studied. Thus, sim
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47

Saikumar, Tara, B. Smitha, and P. S. Murthy. "CMA Channel Equalization Through An Adaptive MMSE Equalizer Based RLS Algorithm." International Journal of Computer and Communication Technology, April 2014, 129–34. http://dx.doi.org/10.47893/ijcct.2014.1232.

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The adaptive algorithm has been widely used in the digital signal processing like channel estimation, channel equalization, echo cancellation, and so on. One of the most important adaptive algorithms is the RLS algorithm. We present in this paper n multiple objective optimization approach to fast blind channel equalization. By investigating first the performance (mean-square error) of the standard fractionally spaced CMA (constant modulus algorithm) equalizer in the presence of noise, we show that CMA local minima exist near the minimum mean-square error (MMSE) equalizers. Consequently, CMA ma
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48

V., Prapulla, Mitra A., Bhattacharjee R. та Nandi S. "A Simplified Adaptive Decision Feedback Equalization Technique for π/4-DQPSK Signals". 21 грудня 2008. https://doi.org/10.5281/zenodo.1056224.

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We present a simplified equalization technique for a π/4 differential quadrature phase shift keying ( π/4 -DQPSK) modulated signal in a multipath fading environment. The proposed equalizer is realized as a fractionally spaced adaptive decision feedback equalizer (FS-ADFE), employing exponential step-size least mean square (LMS) algorithm as the adaptation technique. The main advantage of the scheme stems from the usage of exponential step-size LMS algorithm in the equalizer, which achieves similar convergence behavior as that of a recursive least squares (RLS) algorithm with significantly redu
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49

Kim, Jaeyoon, and Hoon Kim. "Sub-rate sampled, non-integer fractionally spaced Volterra nonlinear equalizer for IM/DD systems." Optics Express, June 25, 2024. http://dx.doi.org/10.1364/oe.526012.

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50

XIAO, Ying. "Blind equalization based on T/4 fractionally spaced decision feedback equalizer with RLS algorithm." TELKOMNIKA Indonesian Journal of Electrical Engineering 11, no. 6 (2013). http://dx.doi.org/10.11591/telkomnika.v11i6.2156.

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