The 60 GHz mm-waves are generated as shown in Fig. 6 where the peak power is -33 dBm. The system generated 120 GHz and 140 GHz of mm-wave signals with power of -44dBm and − 61dBm, respectively. However, the 120 GHz and 140 GHz mm-waves can be ignored to focus on the phase imbalance impact on the 60 GHz mm-wave.
In the architecture, the phase imbalance is monitored and calculated at the optical stage of the mm-wave signal and the phase of the mm-wave can be manually modified at the phase shift to minimize the phase imbalance. Figure 7 shows the spectrum for the modulated signals, showing that the change in phase at phase shift had a significant impact on the power of the optical mm-wave signals and thus significantly influenced the insertion losses, as reported in (Zhu et al., 2015).
For the investigation of the power of optical mm-wave, the input and output mm-wave signals are compared at the MZM. Using the dual optical spectrum analyzer at the input and the output of the MZM, the input and output mm-wave signal can appear as shown in Fig. 8. The blue refers to the input signal and the red refers to the output signal. A 2 dB power difference was found between the input signal and the output signal, and this was due to the imbalanced splitting ratio (γ) of the two branches of the MZM, which caused a higher phase imbalance in the output signal. The phase imbalance has a strong influence on the output of the mm-wave signal where the transmitted power is affected by each branch of the MZM.
The phase imbalance directly affected the optical mm-wave signal power. The difference in power in Fig. 8 between the input optical mm-wave and the output mm-wave at MZM refers to the insertion loss of the signal coming from the imbalanced splitting ratio. The phase imbalance can be controlled by applying different phases at the phase shift (PS) which have a big impact to minimize the phase imbalance of the optical mm-wave signal. The range of applied phases from 0 to 5π/12 in radian is equivalent to 0 to 75 in degrees. Different responses for optical mm-wave at each applied phase. When the phase shift tunning to 5π/12, the best result is collected.
In this work, calculations have been carried out to show the effect of the phase imbalance on the amplitude of the mm-wave signal. The splitting ratio (γ) of the two arms of MZM causes a high phase imbalance in the optical mm-wave signal. Figure 9 shows the responses of mm-wave amplitude with different splitting ratios. It is found that the splitting ratio of 0.5 has a lower effect on the amplitude of the mm-wave. The impact of phase imbalance on the amplitude of the mm-wave signal is more minimal when the intensity of the mm-wave signal is distributed equally via the arms of MZM. As a result, the system can reduce the mm-wave signal's imbalance by 0.5 of the splitting ratio. Additionally, the insertion losses reduce as well, though with a smaller phase imbalance.
The phase imbalance and the insertion loss values are observed at the optical stage of the mm-wave signal before the process of mitigating the phase imbalance. Figure 10 demonstrates the phase imbalance for the input and output of the mm-wave signal while Fig. 11 demonstrates the insertion losses of the mm-wave signal at the output of MZM. The difference in phase between the input signal and the output signal is because of the phase imbalance of the mm-wave signal and that causes an insertion loss in the signal.
To mitigate the phase imbalance in the optical mm-wave signal, the phase of the optical mm-wave signal is adjusted by tuning the phases at the PS. Tuning the phases can mitigate the phase imbalance of the mm-wave signal and thus reduce the insertion loss. Figure 11 shows the effect of phase imbalance and the insertion loss on the mm-wave signal before and after adjusting the phases at PS. The phase imbalance decreased from 0.45 degrees to 0.1 degrees after adjustment. When the phase imbalance of the mm-wave signal is mitigated the insertion loss is decreased. The minimum insertion loss is 1.07 dB before adjustment, while the minimum insertion loss is 0.26 dB after adjustment at a minimum phase imbalance of 0.1 degrees.
Figure 12 shows the range of phase imbalance of mm-wave signal relation with the BER of the mm-wave signal. It can be seen that the lower phase imbalance of 0.1 degree has better BER than the higher phase imbalance. The mm-wave signal performs better at low phase imbalance depending on the BER evaluation and the best BER of -12 at a minimum phase imbalance of 0.1 degree. The mitigation of phase imbalance by adjusting the phases at the optical stage of mm-wave modulation has enhanced the performance of the mm-wave signal in the system and can decrease the phase imbalance from 0.4 to 0.1 degree.
Figure 13 shows the range of insertion loss for mm-wave signal relation with the BER of the mm-wave signal. It can be seen that the lower insertion loss of 0.26 dB has better BER than the higher insertion loss. This insertion loss comes from the phase imbalance of the mm-wave signal, thus when the phase imbalance is at the minimum the insertion loss decreased as well. Based on the collected results, the best BER of -12 at a low insertion loss of 0.26 dB. Hence, the mitigation of phase imbalance by adjusting the phase of 5π/12 at the PS has the lowest insertion loss of mm-wave signal and minimize the insertion loss from 2.7 Db to 0.26 dB.
Figure 14 indicates the three dimensions of the mm-wave signal, this figure shows the relation between the phase imbalance, BER, and insertion loss as the X, Y, and Z axis. It summarizes the best BER levels from − 9 to -12 in purple color at the lower phase imbalance and lower insertion loss of mm-wave signal 0.1 degree and 0.26 dB respectively. The inclined surface of the mm-wave signal sloped to worse BER from − 4 to -2 in red color at high insertion loss above 2.5 dB which comes from the high phase imbalance of 0.45 degree. That is mean the mitigation of phase imbalance can lower the BER of the mm-wave signal and optimize the signal by decrease the insertion loss of system.
Figure 15 shows the constellation diagram of 64 QAM, 128 QAM, and 256 QAM of the optical mm-wave signal. In general, a signal sent by an ideal transmitter should result in a constellation diagram with all constellation points precisely at the ideal locations. However, high phase noise and phase imbalance may cause deviation of the constellation points from the ideal locations. The total distance between the points locations and the ideal locations represents a corresponding measure of phase noise or error phase in the signal. Different adjustment phases are applied to the QAMs of optical mm-wave signal from π/12 to 5π/12 over a 10 km fiber length with a dispersion coefficient of 16.75 ps/nm/km. We observed that the minimum distance between the points’ locations occurred at the phase of 5π/12. The constellation diagram shows a high location deviation of constellation points at the phase of π/12, while the minimum deviation of constellation points at the phase of 5π/12. We found that the phase of 5π/12 had minimal phase error and lower phase noise than the rest of the phases. This minimal phase error in the mm-wave signal was considered a reasonable performance of the mm-wave signal in the system due to a dispersion across 10 km of fiber. When apply the phase of 5π/12 at the phase shift minimum phase imbalance of mm-wave observed thus adjust the phase of 5π/12 can mitigate the phase imbalance to the minimum and enhance the performance of mm-wave signal in the system.
Figure 16 shows the EVM and phase imbalance for 64, 128, and 256 QAMs of optical mm-wave signals. It is important to point out that the lower percentage values represent the best error-free modulation results. For example, an EVM of 8% is better than one of 12%. As can be observed in Fig. 16 the 8% EVM level for 64 QAM, 5% for 128 QAM, and 2% for 256 QAM is required for the 5G specifications (3GPP, 2018). By referring to Fig. 16, below 0.4 degree of phase imbalance are required to achieve a good link of mm-wave signal for the three QAMs. By mitigation, the phase imbalance from 0.45 degree to 0.1 degree led the mm-wave signal to low EVM. A phase imbalance of 0.25 degrees and below collected well EVM values for the 64, 128 and 256 QAMs achieved the required levels of 5G specifications.
The effect of phase imbalance can result in phase noise in the mm-wave signal (Georgiadis, 2004). Low phase noise is the key requirement in modern mm-wave and microwave communication systems to ensure the adequate recovery of the transmitted signals. Thus, low phase noise is essential to enable an efficient system. In general, phase noise can be defined as the frequency-domain representation of random fluctuations in the phase of a waveform. In the simulation system, the phase noise can be calculated using the signal analyzer in the frequency domain. Figure 17 shows the EVM and phase noise for 64, 128, and 256 QAMs of optical mm-wave signals. The mm-wave phase noise of 2.5, 2, and 1.5 degrees achieved a good link of mm-wave signal for the 64, 128, and 256 QAMs respectively. In this system, the three forms of mm-wave QAMs meet the requirements of the 5G specifications (3GPP, 2018). High phase imbalance of 0.45 cause a high phase noise around 3 degree which collects EVM levels out of the 5G requirements. Consequently, mitigating the phase imbalance of the mm-wave signal by tuning the phase to 5π/12 can lower the phase noise to 0.2 degree as shown in Fig. 17. A 0.2 degree of phase noise gives a good performance of mm-wave signal for the three forms of QAMs in the system (Georgiadis & Kalialakis, 2014).
According to the investigations and calculations of this work, the phase imbalance affected the insertion losses of the mm-wave signal and the amplitude of the signal. Moreover, phase imbalance affected the EVM and phase noise of forms of QAMs mm-wave signals. Furthermore, high phase imbalance causes a high phase noise and EVM levels away from the 5G requirements. Hence, mitigating the phase imbalance of the mm-wave signal by tuning the phase to 5π/12 can lower the phase noise to 0.2 degree and enhance the three forms of QAM mm-wave.
It reported in 25 that the reference and modulated signals come from the same optical source and are affected by phase noise which causes chromatic dispersion in fiber progressively. Therefore, this impairment is limiting the maximum achievable range, the BER of the mm-wave is -10 to gain lower phase noise. In this work the BER − 9 to -12 by decreasing the phase imbalance of mm-wave signal. The best EVM in (Zabala-Blanco et al., 2018) is -28 dB which is equivalent to 3.9%, whereas the best EVM in this work is less than 1.5% due to decreasing the phase noise to the lowest possible value. Another study (Georgiadis & Kalialakis, 2014) reported that increasing the amount of phase imbalance resulted in shifting the phase noise of mm-wave to a higher value. A 16 QAM form of mm-wave signal used in (Georgiadis & Kalialakis, 2014) gain 1% of EVM compared to 1.5% EVM and below for higher order of QAM in this work.
A study discussed the phase imbalance impact on the mm-wave signal to solve the power fading by using the phase shifting of RF driving signals in (Ujang et al., 2019) and (Ujang & Wibisono, 2018). The work in (Ujang & Wibisono, 2018) focused on phases of π/12, π/6, π/4, π/3, and 5π/12 to compare between the techniques of OVSB for both OSSB and ODSB modulations. It results that the OVSB modulation technique with π /3 and 5π/12 phases can solve the power fading issues in these modulation techniques. In this study, the investigations and calculations prove that 5π/12 phase can mitigate the phase imbalance of mm-wave signal thus reducing the insertion loss and phase noise, as well as enhancing the EVM of the different forms of QAMs for the mm-wave signal.