WDM up-conversion employing frequency quadrupling in optical modulator

This work presents an optical up-conversion system with frequency quadrupling for wavelength-division-multiplexing (WDM) communication systems using a dual-parallel Mach-Zehnder modulator without optical filtering. Four-channel 1.25-Gb/s wired fiber-to-the-x (FTTx) and wireless radio-over-fiber (RoF) signals are generated and transmitted simultaneously. Moreover, the decline in receiver sensitivities due to Mach-Zehnder modulator bias drifts is also investigated. Receiver power penalties of the 20-GHz up-converted WDM signals and baseband (BB) FTTx signals are less than 1 dB when bias deviation voltage is less the 20% of the half-wave voltage. After transmission over a 50-km SSMF, the receiver power penalties of both the BB and 20-GHz RF OOK signals are less than 1 dB. Notably, 60-GHz optical up-conversion can be achieved using 15-GHz radio frequency (RF) components and equipment. 2009 Optical Society of America OCIS codes: (060.4370) Nonlinear optics, fibers; (060.2330) Fiber optics communications; (060.5625) Radio frequency photonics. References and links 1. J. Yu, Z. Jia, L. Yi, G. K. Chang, and T. Wang, “Optical millimeter-wave generation or up-conversion using external modulators,” IEEE Photon Technol. Lett. 18, 265–267 (2006). 2. Z. Xu, X. Zhang, and J. Yu, “Frequency upconversion of multiple RF signals using optical carrier suppression for radio over fiber downlinks,” Opt. Express 15, 16738-16747 (2007). 3. M. Mohamed, X Zhang, B Hraimel and K Wu, “Frequency sixupler for millimeter-wave over fiber systems,” Opt. Express 16, 10141-10151 (2008). 4. M. Attygalle, C. Lim, G. J. Pendock, A. Nirmalathas, and G. Edvell, “Transmission Improvement in Fiber Wireless Links Using Fiber Bragg Gratings,” IEEE Photon Technol. Lett. 17, 190-192 (2005). 5. A. Wiberg, P. Perez-Millan, M. V. Andres, and P. O. Hedekvist, “Microwave-Photonic Frequency Multiplication Utilizing Optical Four-Wave Mixing and Fiber Bragg Gratings,” IEEE J. Lightwave Technol. 24, 239-334 (2006). 6. Q. Wang, H. Rideout, F. Zeng, and J. Yao, “Millimeter-Wave Frequency Tripling Base on Four-Wave Mixing in a Semiconductor Optical Amplifier,” IEEE Photon Technol. Lett. 18, 2460-2462 (2006). 7. Z. Jia, J. Yu, and G. K. Chang, “All-Optical 16 × 2.5 Gb/s WDM Signal Simultaneous Up-Conversion Based on XPM in an NOLM in ROF Systems,” IEEE Photon Technol. Lett. 17, 2724-2726 (2005). 8. A. Wiberg, P. Perez-Millan, M. V. Andres, P. A. Andrekson, and P. O. Hedekvist, “Fiber-Optical 40-GHz mm-Wave Link With 2.5-Gb/s Data Transmission,” IEEE Photon Technol. Lett. 17, 1938-1940 (2005) 9. G. Qi, J. Yao, J. Seregelyi, S. Paquet, and C. Bélisle, “Generation and Distribution of a Wide-Band Continuously Tunable Millimeter-Wave Signal With an Optical External Modulation Technique,” IEEE Trans. Microwave Theory Tech. 53, 3090-3097 (2005). 10. Z. Pan, S. Chandel, and C. Yu, “160 GHz Optical Pulse Generation Using a 40Ghz Phase Modulator and Two Stages of Delayed MZ Interferometers,” in Proc. Conf. Laser and Electro-Optics (CLEO 2006), paper CFP2. #103813 $15.00 USD Received 7 Nov 2008; revised 18 Dec 2008; accepted 26 Jan 2009; published 29 Jan 2009 (C) 2009 OSA 2 February 2009 / Vol. 17, No. 3 / OPTICS EXPRESS 1726 11. H. Chi and J. Yao, “Frequency Quadrupling and Upconversion in a Radio Over Fiber Link,” IEEE J. Lightwave Technol. 15, 16737-16747 (2008). 12. L. Chen, X. Lei, S. Wen, and J. Yu, “A novel radio over fiber system with DWDM mm-wave generation and wavelength reuse for upstream data connection,” Opt. Express 15, 5893-5897 (2007). 13. C. T. Lin, P. T. Shih, J. Chen, W. Q. Xue, P. C. Peng, and S. Chi, “Optical Millimeter-Wave Signal Generation Using Frequency Quadrupling Technique and No Optical Filtering,” IEEE Photon Technol. Lett. 20, 1027-1029 (2008). 14. P. T. Shih, C. T. Lin, J. Chen, P. C. Peng, and S. Chi, “WDM Optical Colorless Millimeter-wave UpConversion Using Frequency Quadrupling,” in Proc. Conf. Laser and Electro-Optics (CLEO 2008), paper P.3.03. 15. C. T. Lin, W. R. Peng, P. C. Peng, J. Chen, C. F. Peng, B. S. Chiou, and S. Chi, “Simultaneous Generation of Baseband and Radio Signals Using Only One Single-Electrode Mach–Zehnder Modulator With Enhanced Linearity,” IEEE Photon Technol. Lett. 18, 2481-2483 (2006).


Introduction
Optical millimeter-wave generation and up-conversion are essential to Radio-over-Fiber (RoF) communication systems [1][2][3][4][5][6][7].With the rapidly increasing bandwidth requirements for next generation multimedia services, including wireless high definition television (WirelessHD ® ) and video on demand, the frequencies of the generated millimeter-wave signal and up-conversion system are increasing.Nevertheless, optical millimeter-wave generation and up-conversion with a frequency beyond 40-GHz remain significant challenges.Many studies are proposed in recent years [1][2][3][4][5][6][7][8][9][10][11][12][13][14].Among these works, using external modulators, such as LiNbO 3 Mach-Zehnder modulator (MZM) or phase modulator (PM), are the most reliable and simplest choice for optical millimeter-wave generation.[1][2][3][4][5][6][7][8][9][10][11][12][13].However, frequencies of millimeter-wave generation and up-conversion systems are still restricted by the frequency response of LiNbO 3 modulators, which is typically less than 40 GHz.Additionally, the radio frequency (RF) electrical components and equipment with frequency higher the 26 GHz are extremely expensive than those with frequency response below 26 GHz.Therefore, a simple and cost-effective approach for optical millimeter-wave generation and up-conversion beyond 40 GHz is of great interest.Many schemes have recently been developed for optical millimeter wave generation with frequencies exceeding two times that of the RF driving signals [3,6,9,10,11,13].Via these frequency tripling and quadrupling techniques, optical millimeter-wave signals can be generated using low-frequency RF components and equipment which markedly reduces the entire system costs.However, some of these proposed systems require two cased external modulators, which increase system complexity and cost.Furthermore, narrowband optical filters, which are required in some of these systems, hinder the implementation of optical up-conversion in wavelength-divisionmultiplexing (WDM) RoF systems [7,11].
In addition to RoF techniques, simultaneous transmission of wired baseband (BB) and wireless RF signals for low-cost quad-play services (wireless, telephone, television and internet) over the constructed passive optical networks (PON) also attract much attention.This work experimentally demonstrates an optical up-conversion system using a frequency quadrupling approach.Four-channel BB 1.25-Gbits/s WDM millimeter-wave signals are simultaneously up-converted with optical carrier suppression using only one external modulator without narrowband optical filtering.Since no narrowband optical filter is needed, the proposed system can be implemented in WDM up-conversion systems.The harmonic distortion suppression ratio (HDSR) of the generated millimeter-wave signals in each channel exceeds 35 dB.Based on the modified double sideband with carrier suppression (DS-CS) modulation scheme, the proposed architecture supports both wireless and wired services [13,14].After transmission over 50-km standard single mode fiber (SSMF), the power penalties of 20-GHz wireless and wired signals are less than 1 dB, respectively.40-and 60-GHz WDM up-conversion are also demonstrated experimentally in this work.The HDSR of the generated 40-and 60-GHz millimeter-wave signals in each channel are also higher than 30 dB.Furthermore, the impact of the MZM bias drift on the performance of BB and RF signals is also investigated.

Concepts and experimental setup
Figure 1 shows a conceptual diagram of the WDM up-conversion system.In the optical line terminal (OLT), direct modulation laser diodes are employed as optical sources of WDM channels.After combining the channels, the BB WDM signals are sent into the optical upconversion system and all WDM channels are up-converted simultaneously.After transmission over SSMF, WDM channels are separated using an array wave guide (AWG) and sent to the optical network units (ONU).At the ONU, optical signals are separated by an optical coupler for wireless and wired applications.
Optical millimeter-wave signal generation, using a frequency quadrupling technique and no filtering, is the key to the optical up-conversion system [13].Figure 2 ) and J 4n-2 denotes the Bessel function of the first kind of order 4n-2.Due to the properties of Bessel function, the optical sidebands with the orders exceeding J 2 can be ignored without generating considerable error.Therefore, the output optical field can be simplified as After square-law detection using a photo diode, only the electrical signal with a frequency four times that of the electrical driving signal, ω RF , will be detected [13].
Figure 3 shows the experimental setup of the WDM optical up-conversion system with frequency quadrupling.Four distributed feedback (DFB) lasers are utilized as the fourchannel WDM signals with optical wavelengths from 1544.53 to 1546.92 nm with 100-GHz channel spacing.A 1.25-Gb/s on-off-keying (OOK) pseudo random bit sequences (PRBS) signal with a word length of 2 31 -1 are simultaneously modulated on all of the WDM channels using a single electrode MZM.The WDM BB channels are then sent into the optical upconversion system with frequency quadrupling, and all WDM channels are up-converted simultaneously.The up-converted millimeter-wave signals are then amplified by an erbiumdoped fiber amplifier (EDFA) before being transmitted over 50-km SSMF.After the transmission, a tunable optical filter (TOF) is employed to select the desired channel.At the

Results and discussion
Figure 4(a) presents the optical spectrum of a single channel 1.25-Gb/s BB OOK signal.Figure 4(b) shows the optical spectrum of the up-converted millimeter-wave signal using the proposed system with a 5-GHz RF driving signal.Following the optical up-conversion, the HDSR of the generated 20-GHz millimeter-wave signal exceeds 39 dB.
Although the MZM has been used for several decades, bias drift, which affects MZM performance, remains an important issue when the MZM is biased at the maximum or minimum transmission point.In the proposed optical up-conversion system, both MZ-a and MZ-b are biased at the maximum transmission point, and MZ-c is biased at the minimum Since MZ-a is biased at the maximum transmission point, bias drift of MZ-a decreases the suppression of odd-order optical sidebands.Figure 5 illustrates the 20-GHz optical millimeterwave signal receiver sensitivities at BER of 10 -9 and HDSR versus different MZ-a bias voltage deviation ratios.Optical spectrum with optimized, -40 %, and 40 % bias deviation ratios are also shown in Fig. 5.The voltage deviation ratio is defined as ( , where V ∆ is voltage deviation and π V is the half-wave voltage of the sub-MZ (i.e.4.2 volts in this case).The HDSR declines from 39 dB to 7.5 dB when bias deviation ratio becomes 40%, and the receiver sensitivity penalty of the 20-GHz RF OOK signal is about 2 dB.However, with detail explanation given in the following section, no significant reductions in receiver sensitivities exist for the 1.25-Gb/s BB OOK signals.The behavior of MZ-b voltage deviation is similar to the results of that in MZ-a. Figure 6 shows the 20-GHz optical millimeter-wave signal receiver sensitivities at BER of 10 -9 and HDSR versus different MZ-c bias voltage deviation ratios.Optical spectrum with -50 % and 50 % bias deviation ratios are also shown in Fig. 6.Differing from the voltage drift effects of MZ-a and MZ-b, the HDSR decreases form 39 dB to 17 dB when bias drift is almost 50%, which corresponds to a voltage deviation of roughly 2.1 volts and can be considered an extreme case.However, no significant sensitivity penalties of the 20-GHz RF OOK and BB OOK signals are observed.This work also investigates the declines of HDSR and receiver sensitivities when all biases of the dualparallel MZM drift from the optimal point.Figure 7 shows the 20-GHz optical millimeterwave signal receiver sensitivities at BER of 10 -9 and HDSR versus different bias voltage deviation ratios in all sub-MZM.Optical spectrum with -30 % and 30 % bias deviation ratios are also shown in Fig. 7.When the biases of all sub-MZM drift 30% from the optimal point, the HDSR degrades from 39 dB to 5 dB, and the 20-GHz RF OOK signal has a penalty of about 3 dB.And there are still no significant power penalties of the BB OOK signal.
After the square-law detection, the RF OOK signal comes from the beating terms of the two second-order optical sidebands.However, the receiver sensitivity is defined as the total received optical power.If the HDSR degrades due to bias drifts of the dual-parallel MZM, a portion of the total optical power is taken by the undesired optical sidebands; thus, the receiver sensitivity of the desired millimeter-wave signal is diminished.In the case of bias drifting in MZ-a and MZ-b, odd order optical sidebands steal a significant portion of the total optical power, resulting in receiver sensitivity penalties.Nevertheless, in the case of bias drifting in MZ-c, only the optical carrier and 4 th order optical sidebands emerge with bias drifting.In the proposed system, the original optical carrier can be totally suppressed due to the advantage of the modulation depth trimming of the proposed frequency technique.The modulation depth trimming is done by adjusting the amplitudes of electrical signals for driving MZ-a and MZ-b.Therefore, only the 4 th order optical sidebands contribute to the decline of RF receiver sensitivity when MZ-c bias drifts.Base on the properties of Bessel function, the optical power of 4 th order optical sidebands are quite small compared with the desired 2 nd optical sidebands.The HDSR still exceed 20 dB when the MZ-c bias drifts about 50%.With such high HDSR, no significant power penalty of RF signals exists when the MZ-c bias drifts.Receiver sensitivities of the proposed system can be less than 1 dB when bias drifts are controlled within 20% of the half-wave voltage using a bias feed-back control system.On the other hand, the BB OOK signal is related to the square terms of all optical sidebands; therefore, the BB OOK signal is insensitive to the biased drifts.
Figure 8 shows the optical spectrum of the 4×1.25-Gb/sBB WDM signals and the upconverted 4×1.25-Gb/s 20-GHz WDM signals.All WDM channels are up-converted simultaneously using only one dual-parallel MZM. Figure 9(a) shows the BER curves and eye diagrams of the back-to-back (BTB) and transmitted 20-GHz WDM RF OOK signals.After transmission over 50-km SSMF, the receiver power penalty of each channel is less than 1 dB.without optical filtering is the key to the up-conversion system.The HDSR of the proposed system are more than 39 dB.Both of wired BB and wireless RF signals are transmitted simultaneously.Additionally, receiver sensitivity degraded due to MZM bias drifts is also investigated in this work for 20-GHz WDM signals.The receiver power penalty can be less than 1 dB when bias deviation ratios are less than 20 % of the half-wave voltage, which can be achieved using a bias feedback control system.After transmission over a 50-km SSMF, the receiver power penalties of both the BB and 20-GHz RF OOK signals are less than 1 dB.The 40-and 60-GHz WDM up-conversion using 10-and 15-GHz RF driving signals are also demonstrated.The proposed system is compatible with existing WDM PON system.Since only low-frequency RF components and equipment are required, the proposed system is a potential solution for future WDM up-conversion system.
Figure1shows a conceptual diagram of the WDM up-conversion system.In the optical line terminal (OLT), direct modulation laser diodes are employed as optical sources of WDM channels.After combining the channels, the BB WDM signals are sent into the optical upconversion system and all WDM channels are up-converted simultaneously.After transmission over SSMF, WDM channels are separated using an array wave guide (AWG) and sent to the optical network units (ONU).At the ONU, optical signals are separated by an optical coupler for wireless and wired applications.Optical millimeter-wave signal generation, using a frequency quadrupling technique and no filtering, is the key to the optical up-conversion system [13].Figure2shows a conceptual diagram of the proposed frequency quadrupling with filtering technique.The key component of the optical up-conversion system is a commercially available dual-parallel MZM which is composed of three sub-MZM: MZ-a, MZ-b and MZ-c.Both MZ-a and MZ-b are biased at the maximum transmission point and MZ-c is biased at the minimum transmission point.Assume that the field of optical source is defined as ( ) cos( ) in o o E t E ω t = where E o denotes the amplitude of the optical field, and ω o is the angular frequency of the optical carrier.Electrical RF driving signals sent into MZ-a and MZ-b are ( ) cos( )

Fig. 9 (
b) shows the BER curves and eye diagrams of the BTB and transmitted WDM BB OOK signals.Receiver power penalties are negligible after transmission over the 50-km SSMF.40-GHz and 60-GHz WDM optical up-conversion systems are also demonstrated in this work.Nevertheless, the receiver sensitivities and BER analysis are not shown here due to the unavailability of 40-and 60-GHz receiver systems in the laboratory.Figure10(a) shows the optical spectra of the 40-GHz up-converted WDM signals.The HDSR of the up-converted WDM signals are more than 35 dB. Figure 10(b) shows the spectra of up-converted 60-GHz WDM signals.The HDSR of the WDM channels are also more than 35 dB.