Iterative Intersymbol Interference Cancellation in Vestigial Sideband Nyquist–Subcarrier Modulation System
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Iterative intersymbol interference cancellation in vestigial sideband Nyquist–subcarrier modulation system Na Liu Xue Chen Cheng Ju Rongqing Hui Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 10/26/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx Optical Engineering 53(11), 116109 (November 2014) Iterative intersymbol interference cancellation in vestigial sideband Nyquist–subcarrier modulation system Na Liu,a,* Xue Chen,a Cheng Ju,a and Rongqing Huib aBeijing University of Posts and Telecommunications, State Key Lab of Information Photonics and Optical Communications, P.O. Box 128, #10 XiTuCheng Road, HaiDian District, Beijing 100876, China bUniversity of Kansas, Department of Electrical Engineering and Computer Science, 3026 Eaton Hall, 1520 W. 15th Street, Lawrence, Kansas 66045, United States Abstract. The intersymbol interference caused by dispersion, chirp, and a vestigial sideband filter in intensity modulation and a direct detection single carrier system is analyzed theoretically and numerically. An iterative nonlinear intersymbol interference cancellation technique is proposed and experimentally demonstrated in a 40- Gbps 16-QAM Mach-Zehnder modulator-based vestigial sideband intensity modulation and direct detection half- cycle Nyquist–subcarrier modulation system over a 100-km uncompensated standard single-mode fiber trans- mission for the first time. The experimental results show that 2.2-dB receiver sensitivity improvement is obtained at the forward error correction limit by using the iterative technique. © 2014 Society of Photo-Optical Instrumentation Engineers (SPIE) [DOI: 10.1117/1.OE.53.11.116109] Keywords: intensity modulation; direct detection; vestigial sideband; intersymbol interference. Paper 141412 received Sep. 11, 2014; accepted for publication Oct. 17, 2014; published online Nov. 12, 2014. 1 Introduction Compared with SQRT and NL-FFE-DFE, a better perfor- The increasing demand to achieve both higher bit rates and mance can be obtained by using an MLSE with a higher spectral efficiency using cost-effective systems is especially complexity. 14 strong in short-range communication. Intensity modulation In this paper, a theoretical model is first established to and direct detection (IMDD) based optical communication investigate the dispersion-, chirp, VSB filter-induced ISI in a systems with high-order modulation formats have continued VSB-IMDD single carrier system. In more detail, the ISI to attract attention because of the low cost and simple imple- can be divided into two parts, namely the linear part and mentation, such as a half-cycle Nyquist–subcarrier modula- the nonlinear part. A conventional electrical dispersion com- 8 tion (SCM).1,2 For a double sideband (DSB) signal, the pensation method, overlap FDE (O-FDE), is used to compen- dispersion power penalty caused by dispersive transmission sate the linear distortion. An iterative distortion cancellation with direct detection limits the transmission distance.3 technique used in an orthogonal frequency division multiplex- – Without an expensive optical dispersion compensator, opti- ing system15 17 is introduced to mitigate the nonlinear ISI. cal vestigial sideband (VSB) filtering is a more practical and Furthermore, we have experimentally demonstrated a 40- desirable method for improving the chromatic dispersion tol- Gbps 16-quadrature amplitude modulation (QAM) Mach- erance4,5 and the spectral efficiency of a dense wavelength Zehnder modulator (MZM)-based VSB-IMDD half-cycle division multiplexing system.6 However, the square-law Nyquist-SCM system transmission over a 100-km uncom- detection of the VSB signal still induces intersymbol inter- pensated standard single-mode fiber (SSMF) with iterative ference (ISI), which degrades the transmission performance. nonlinear ISI cancellation. A cost-effective fiber Bragg gra- Electrical equalization methods have been widely ting (FBG) optical filter is used to realize the VSB filter. The explored to suppress the ISI generated by chromatic experimental results show that 2.2-dB receiver sensitivity is dispersion, such as feed-forward equalizers (FFE), decision improved at the forward error correction (FEC) limit. The feedback equalizers (DFE),7 and frequency-domain equali- iterative nonlinear ISI cancellation in a VSB-IMDD half- zation (FDE).8,9 But they cannot fully compensate the distor- cycle Nyquist-SCM system can effectively suppress the tions because the absolute square-law detection of the destructive effect of the nonlinear ISI. photodiode (PD) is the fundamental reason why the perfor- mance of conventional linear equalizer is degraded. A non- linear equalizer is used to further enhance the system 2 Theoretical Model performance, such as a mathematical square root operator The principle of a VSB-IMDD half-cycle Nyquist-SCM 10 11 (SQRT), nonlinear FFE-DFE (NL-FFE-DFE), and maxi- system is shown in Fig. 1. The optical transmitter is a 12,13 mum-likelihood sequence estimation (MLSE). SQRT conventional half-cycle 16-QAM Nyquist-SCM modulation can linearize the receiver before equalization, but this cannot scheme.1 A VSB filter is placed after the intensity modu- change the fact that the phase information introduced by lator to achieve vestigial sideband transmission. At the dispersion is lost even after the square root operation. receiver, O-FDE is carried out after downconversion to com- NL-FFE-DFE can be considered to be an extension from pensate the linear distortion based on the block-to-block the normal DFE with both an FFE filter and a DFE filter. operation.8 *Address all correspondence to: Na Liu, E-mail: [email protected] 0091-3286/2014/$25.00 © 2014 SPIE Optical Engineering 116109-1 November 2014 • Vol. 53(11) Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 10/26/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx Liu et al.: Iterative intersymbol interference cancellation in vestigial sideband Nyquist–subcarrier modulation system Power Optical Transmitter Signal with linear ISI Optical Receiver Nonlinear ISI Freq. Power Cos[2pi(Fs/2)t] Cos[2pi(Fs/2)t] Spectrum after VSB filter Q Nyquist Freq. Up AM I LD I O/E Equ Pulse D Cut samp I e F A FFT VSB F cis Ma Shaping i a D l [0 Fs/2] FT ou t liz C e IM i on pping r li t e ng SSMF Nyquist r Pulse Q Shaping Q [0 Fs/2] One block t ... D0 D1 D2 ... DM-1 ... FDE weight -Sin[2pi(Fs/2)t] -Sin[2pi(Fs/2)t] estimation One symbol Fig. 1 Principle of vestigial sideband intensity modulation and direct detection (VSB-IMDD) half-cycle Nyquist–subcarrier modulation (SCM) system. 2 H n ejn θD θ β Lω2∕ In this section, a theoretical model is built to analyze the be expressed as CDð Þ¼ ,where D ¼ 2 2. causes of ISI in a VSB-IMDD single carrier system. In this Thus, if Θf·g represents a signal after dispersive transmis- M D ;D :::D model, continuous symbols, ½ 0 1 M−1, combine sion, then as a block, as shown in Fig. 1. The block before the intensity modulator can be expanded into a Fourier series, XN P 1 2 N jnωt jnωt jn θD V ¼ Rf vne g, where ω is the first-order harmonic, ΘfX ; g¼ r H ðnÞvne e n¼1 1 VSB 2 USB vn is the complex information of the n’th-order harmonic, N n¼1 is the index of the highest-order harmonic, and Rf·g repre- XN 1 −jnωt jn2θ sents the real part. Assuming the intensity modulator is a lin- þ r H ðnÞvne e D ; 2 LSB ear electro-optic system with a constant chirp parameter α, n¼1 the normalized optical power envelop canP be written as P X X R X X r N v ejnωt r ¼ 1 þ 1, where 1 ¼ f ng, n ¼ n n . X2N ¼1 1 ˜ 2 jðnωtþθnÞ jn θD is a scaling constant used to set an appropriate optical ΘfX ; g¼ H ðnÞx˜ne e pPffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 2 VSB 2 USB r N v 2 18 n¼1 modulation index (OMI), where OMI ¼ n¼1 j nj . Accordingly, the normalized envelope of the optical field X2N 1 ˜ 2 1−jα α2 H n x˜ e−jðnωtþθnÞejn θD can be approximated as E 1 X − 1þ X , where þ LSBð Þ n . ¼ þ 2 1 8 2 2 X X X2 R X X n¼1 2 is the second-order term, 2 ¼ 1 ¼ f 2ng, 2n ¼ P ˜ 2N x˜ ejðnωtþθnÞ 14 v n¼1 n , and the higher-order terms of n are dis- Accordingly, the optical field becomes regarded. After the VSB filter, the first- and second-order pffiffiffiffiffiffiffiffiffiffiffiffi 2 2 terms can be expressed as 1 þ α −jθ 1 þ α E ¼ Hð0Þþ e α ΘfX ; g − ΘfX ; g: CD 2 1 VSB 8 2 VSB XN XN X 1r H n v ejnωt 1r H n v e−jnωt (2) 1;VSB ¼ USBð Þ n þ LSBð Þ n 2 n 2 n ¼1 ¼1 The received signal after square-law photodetection is and R ¼jE j2 CD pffiffiffiffiffiffiffiffiffiffiffiffiffi X2N 1 ˜ 2 2 −jθα jðnωtþθnÞ ≅ H α H R e Θ X X ; ¼ H ðnÞx˜ne ½ ð0Þ þ 1 þ ð0Þ ½ ð 1;VSBÞ 2 VSB 2 USB n¼1 1 α2 þ Θ X 2 − H R Θ X : X2N þ fj ð 1;VSBÞj ð0Þ ½ ð 2;VSBÞg (3) 1 ˜ 4 −jðnωtþθnÞ þ H ðnÞ x˜ne ; 2 LSB n¼1 The first term in Eq. (3) is the direct current component, H H the second term contains the desired block signal, and the where USB and LSB are the frequency responses of the third term represents the nonlinear distortion of block signal. VSB filter in the upper sideband and lower sideband. From Eq. (3), without the VSB filter, that is Hð0Þ¼ Then the optical field can be expressed as HUSB n HLSB n VSBð Þ¼ VSBð Þ¼1, the second term can be written as ffiffiffiffiffiffiffiffiffiffiffiffi p pffiffiffiffiffiffiffiffiffiffiffiffi N 1 α2 1 α2 X þ −jθα þ 2 2 2 E ¼ Hð0Þþ e X ; − X ; ; (1) 1 þ α r cosðn ω β L∕2 − θαÞjvnjcosðnωt þ φnÞ; VSB 2 1 VSB 8 2 VSB 2 n¼1 −1 v φ where θα ¼ tan α,andHð0Þ denotes the frequency response where j nj and n are the amplitude and phase of the jφ of the VSB filter at the optical carrier.