The present invention relates to optical communications, and more specifically to a system and method for mitigating the penalties resulting from polarization-mode-dispersion (PMD), polarization-dependent loss (PDL), and polarization-dependent gain (PDG) in optical communication systems.
Polarization-mode-dispersion (PMD) is a common phenomenon that occurs when light waves travel in optical media such as optical fiber and optical amplifiers. PMD occurs in an optical fiber as a result of small birefringence induced by deviations of the fiber's core from a perfectly cylindrical shape, asymmetric stresses or strains, and/or random external forces acting upon the fiber. PMD causes the two orthogonal polarization components of an optical signal corresponding to two principle states of polarization (PSP) of a transmission link to travel at different speeds and arrive at a receiver with a differential group delay (DGD). As a result, the waveform of optical signals may be significantly distorted, resulting in more frequent errors at the receiver.
PMD is wavelength-dependent in that the amount or level of PMD imparted by an optical component (e.g., optical fiber) at a given time will generally vary for different wavelength-division-multiplexing (WDM) channels corresponding to different signal wavelengths or frequencies.
Polarization-dependent loss (PDL) is another common phenomenon in optical fiber transmission. Optical components such optical add/drop modules (OADM's) tend to have PDL, which attenuate optical signals depending on the relative polarization state with respect to the PSP's of the PDL component.
Polarization-dependent gain (PDG) is also a common phenomenon in optical fiber transmission. Optical components such as Erbium-doped fiber amplifiers (EDFAs), tend to have PDG, which amplify optical signals depending on their relative polarization state with respect to the PSPs of the PDG component. PDL and PDG cause signals to have different amplitudes at the receiver, which makes the optimal decision threshold different for different bits (depending on their polarization), and thus degrades the receiver performance when the receiver decision threshold can only be fixed to a certain level for all the bits. PDL may also cause varying optical signal-to-noise-ratio (OSNR) for bits with different polarization, and further degrade the system performance. PDL or PDG induced OSNR degradation cannot be compensated for since the process of adding random amplified spontaneous emission (ASE) noise cannot be undone.
It is known that PMD, PDL, and PDG are significant penalty sources in high-speed (e.g., 10 Gb/s and 40 Gb/s) transmissions. PMD compensation (PMDC) is normally desirable to increase system tolerance to PMD. However, due to the stochastic nature of PMD and its wavelength dependence, PMDC is normally required to be implemented for each wavelength channel individually, and is thus generally not cost-effective. Various prior art methods have been proposed to achieve PMDC simultaneously for multiple WDM channels. Channel switching is one technique that has been proposed to mitigate the overall PMD penalty in a WDM system. However, such systems sacrifice system capacity due to the use of extra channels for PMD protection. Multi-channel PMDC before wavelength de-multiplexing has also been proposed to mitigate the PMD degradation in the WDM channel having the most severe PMD. However, such a mitigation scheme may cause degradation of other channels.
Another scheme for a multi-channel shared PMDC has been proposed in which the most degraded channel is switched, by optical or electrical means, to a path connected to the shared PMDC; however, the speed of PMDC is limited (by the speed of the optical or electrical switching). In current PMDC schemes, PMD induced system outages, during which the PMD penalty exceeds its pre-allocated system margin and system failure occurs, are present, though reduced.
Forward-error-correction (FEC) is an effective technique for increasing system margin cost-effectively. It has been determined, however, that FEC cannot extend the tolerable PMD for a fixed PMD penalty at a given average bit-error-rate (BER), even though the additional margin provided by FEC can be used to increase the PMD tolerance. It has been suggested that sufficient interleaving in FEC may increase PMD tolerance. However, there is no known practical method to provide the deep interleaving needed to avoid a PMD outage which may last minutes or longer in practical systems.
The present invention provides a system and method for multi-channel PMD/PDL/PDG mitigation and outage prevention in which FEC is used in conjunction with sub-burst-error-correction-period (s-BECP) PMD vector scrambling (PMDS) using distributed, fast polarization scramblers (D-FPSs). BECP is in units of time, which equals burst error correction length (BECL) multiplied by the bit period. For ITU standard G.709, BECL=1024 bits. Thus, in a G.709 standardized 10.7-Gb/s system, the BECP is approximately 1024×100 ps≈0.1 μs. The link PMD is preferably changed to at least two random states within each BECP simultaneously for all wavelength channels. By limiting PMD induced “outages” to last for a period that is shorter than the correcting period, FEC can effectively correct the dominating errors occurring during transmission. The present invention provides significant improvement in system tolerance to PMD and can essentially eliminate PMD induced system outages in NRZ and RZ transmissions.
According to one embodiment, the present invention is a system for mitigating the penalties from PMD, PDL and PDG. The system comprises at least one polarization scrambler adopted to vary the polarization state of an optical signal to effectively vary the polarization mode dispersion experienced by the signal at least once during each BECP of the FEC used in the system.
The foregoing and other objects, features and advantages of the present invention will become more apparent from the following detailed description when taken in conjunction with the appended drawings.
It is to be noted, however, that the appended drawings illustrate only exemplary embodiments of the invention and are therefore not to be considered limiting of the scope of the invention.
One aspect of the present invention proposes the use of FEC in conjunction with fast polarization scrambling to change the polarization of a signal between at least two states during each FEC burst-error-correcting period (BECP). By changing the link PMD at least once during each BECP the PMD induced “outages” are effectively limited to last for a period that is shorter than the correcting period, thus the FEC can effectively correct the dominating errors that occurred during the outages, and thereby improve system tolerance to PMD and prevent system outage, simultaneously for all wavelength channels
For any given FEC code, there is a maximum number of correctable errors per FEC frame (or block), Nmax
Using D-FPSs, in accordance with aspects of the present invention, to scramble the link PMD during each FEC frame, redistributes the link PMD to close to its original Maxwellian distribution, such that no consecutive errors (due to PMD) last longer than Nmax
One embodiment of a system 20 in accordance with the invention is shown in
In the embodiment shown in
The FPS 208 can be a single-stage LiNbO3 based phase modulator, or any other device, such as a fiber-based scrambler, that provides sufficient polarization scrambling. Preferably, multiple stages of polarization scrambling are employed to be able to randomize signal polarization, independent of the input signal polarization state.
At a receiver side of the system 20, WDM channels are de-multiplexed by demultiplexer 210 and then individually detected at a receiver 220, followed by FEC decoding with an FEC decoder 230 to obtain the original data signal.
The instant PMD of a link can be represented by a vector, Ω, whose length equals the differential-group-delay (DGD) between two principle states of polarization (PSPs) of the fiber link, and whose direction is aligned with the maximum delay PSP. Generally, the distribution of DGD follows Maxwellian distribution, as shown in the plot of
Numerical simulations have shown that OP can be reduced by using D-FPSs in accordance with embodiments of the invention. As illustrated in
The above process was repeated for cases with 2 or more distributed FPSs 208.
{overscore (Ω)}new≈max({overscore (Ω)}, |Ω0|/√{square root over (N+1)}). (1)
As N becomes sufficiently large, the new mean link PMD approaches {overscore (Ω)}. This qualitatively explains the convergence of the new link DGD distribution from an outage event to its original Maxwellian distribution through the use of D-FPSs.
D-FPS Speed Requirement for Outage Prevention
To effectively redistribute the link DGD during an outage event to the original Maxwellian distribution, the speed requirement of FPSs 208, which is closely related to the FEC code used and the system data rate, is an important parameter. Generally, a FEC code is capable of correcting Nmax
The performance improvement through the use of D-FPSs was accessed and is discussed below. The PMD-induced OP assuming idealized or sufficient PMD scrambling which redistributed the link DGD to the original Maxwellian distribution was considered. It was understood that there is a small probability that PMD outages may occur even after the PMD scrambling through N D-FPSs where the new link DGD is still large enough to cause system outage (or it is still larger than the specific |Ω|) We can write the new OP (after sufficient PMD scrambling, OPsufficient) as
OPsufficient(N)=M{{overscore (Ω)}+[M−1(OP0)−{overscore (Ω)}]·√{square root over (N+1)}}, (2)
where M(x) is the probability of obtaining DGD that is larger than x assuming the DGD is Maxwellian distributed with mean of {overscore (Ω)}, or
M−1(y) is the inverse function of M(x).
The performance of the outage prevention under insufficient polarization scrambling speed is of practical interest. The impact of insufficient scrambling speed is the reduction of the effective number of D-FPSs. We can extend Eq. (3) to take into consideration the impact as
where p is the ratio between the actual PS speed and the required speed. For example, p=0.8 for FPS with 8-MHz speed in 10-Gb/s systems. The outage prevention performance with p=0.8 is shown with a dashed line in
Improvement of PMD Tolerance
The dependence of OSNR penalty on PMD is important to evaluate the system tolerance to PMD.
The PMD tolerance is further increased when more powerful FEC codes (i.e. those having a higher uncorrected BER threshold than RS-FEC for a given corrected BER) are used with the present invention, providing the criteria for sufficient PMD scrambling is met. It can be understood by those skilled in the art that the present invention is applicable to systems and transmission methods employing various FEC codes including but not limited to Reed-Solomon codes, concatenated block codes, convolutional codes and codes with various interleaved depth.
In addition, the present invention is also applicable to systems employing non-return-to-zero (NRZ) or return-to-zero (RZ) signal formatting, and/or on-off keying, differential phase-shift-keying (DPSK), differential quadrature-phase-shift-keying (DQPSK) modulation formatting, or the like. Additionally, the tolerance to PDL and PDG can be significantly improved with the use of D-FPSs in systems with FEC. As discussed above with regard to PMD mitigation, the present invention is effective in substantially reducing the PDL and PDG induced outages by quickly redistributing the link PDL and PDG to allow FEC to correct transmission errors, substantially reducing outage probability.
We note that polarization scramblers also scramble the phases of the signal bits, and polarizing scrambling with very high speed (comparable to the data rate, BR) may cause large signal spectrum broadening (e.g., about two times the spectrum of the transmitted signal) and penalty. It is therefore preferable that the PS speed (i.e. approximately the inverse of the time period for a π phase change of the signal) is between about 0.5BR/FEC-BECL (the minimum requirement for sufficient PMD scrambling) and about BR/N (e.g., 1 GHz for a 10 Gb/s system (4 GHz for a 40 Gb/s system) with 10 D-FPSs and ITU G.709 recommended RS-FEC).
For systems employing on-off-keying the PS speed is preferably between about 0.5BR/FEC-BECL and the lesser of about BR/(8×ID) and about BR/N, where BR is the system bit rate, FEC-BECL is the forward error correction burst error correction length, ID is the interleaving depth of the forward error correction, and N is the number of polarization scramblers.
For systems employing DPSK modulation formatting the PS speed is preferably between about 0.5BR/FEC-BECL and the lesser of about BR/(8×ID) and about 0.1BR/N, where BR is the system bit rate, FEC-BECL is the forward error correction burst error correction length, ID is the interleaving depth of the forward error correction, and N is the number of polarization scramblers.
Additionally, it can be appreciated by those skilled in the art that one advantage of the present invention over PMDC is that the present invention does not require polarization monitoring and feedback control, and can operate in a set-and-forget mode.
Although the invention has been described with reference to illustrative embodiments, this description should not be construed in a limiting sense. Various modifications of the described embodiments, as well as other embodiments of the invention, which are apparent to persons skilled in the art to which the invention pertains, are deemed to lie within the principle and scope of the invention as expressed in the following claims.
This is a continuation-in-part application of U.S. patent application Ser. No. 10/631,654 entitled “System And Method For Multi-Channel Mitigation of PMD/PDL/PDG” filed on Jul. 31, 2003 now abandoned which is incorporated herein by reference.
Number | Name | Date | Kind |
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6437892 | Fang et al. | Aug 2002 | B1 |
6856711 | Frigo et al. | Feb 2005 | B1 |
Number | Date | Country | |
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20050036727 A1 | Feb 2005 | US |
Number | Date | Country | |
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Parent | 10631654 | Jul 2003 | US |
Child | 10639824 | US |