Mitigating polarization dependent loss (PDL) by transforming frequency components to a ball
An apparatus for mitigating polarization dependent loss (PDL) in an optical signal-to-noise ratio (OSNR) of a modulated optical signal is disclosed. The apparatus may comprise a spectrum analyzer to measure an optical power spectrum of a modulated optical signal. The apparatus may also comprise a measuring unit to select a first portion of the modulated optical signal and a second portion of the modulated optical signal, where each of the first and second portions of the modulated optical signals may include an independent noise distribution indicative of PDL, and measure a time-varying parameter of the first and second portions. The apparatus may also include a signal processor to PDL in an OSNR by transforming any elliptical polarization associated with the independent noise distribution into a ball polarization, determining a correlation between time-varying parameters of the first and second portions, and calculating a PDL mitigated OSNR.
1. An apparatus comprising:
a signal processor to mitigate polarization dependent loss (PDL) in an optical signal-to-noise ratio (OSNR) by:
measuring an optical power spectrum of a modulated optical signal, wherein the optical power spectrum comprises at least one of a plurality of wavelength channels;
transforming any elliptical polarization associated with independent noise distribution into a ball polarization;
determining a correlation between time-varying parameters of first and second portions of the modulated optical signal, wherein each of the first and second portions of the modulated optical signal comprises an independent noise distribution indicative of polarization dependent loss (PDL); and
calculating a polarization dependent loss (PDL) mitigated optical signal-to-noise ratio (OSNR) based on the correlation between the time-varying parameters, the optical power spectrum of the modulated optical signal, and the ball polarization.
2. The apparatus of claim 1 , wherein the PDL introduced during signal transmission randomly varies in 10 Hz cycles, and transforms any elliptical polarization into a ball polarization in 1 kHz speed.
3. The apparatus of claim 1 , wherein transforming any elliptical polarization associated with the independent noise distribution into a ball polarization comprises determining a state of polarization (SOP).
4. The apparatus of claim 3 , wherein a correlation time interval is used for an integration duration when determining the state of polarization (SOP).
5. The apparatus of claim 1 , wherein transforming any elliptical polarization associated with the independent noise distribution into a ball polarization comprises:
applying Jones matrix multiplications to the first and second portions of the modulated optical signal to yield an output;
applying Stokes vector calculations to the output, such that:
S0 represents sum of power,
S1 represents vertical/horizontal power unbalance,
S2 represents 45/−45 degree power unbalance, and
S3 represents right/left circular power unbalance; and
applying a feedback loop to get S1, S2, S3 to zero, wherein the Stokes vector calculations and feedback loop are calculated for every integration interval.
6. The apparatus of claim 5 , wherein the Jones matrix multiplications are applied in analog-to-digital converter (ADC) sample speed, and wherein the Stokes vector calculations and feedback loop are calculated for every integration interval.
7. A method comprising:
measuring an optical power spectrum of a modulated optical signal, wherein the optical power spectrum comprises at least one of a plurality of wavelength channels;
selecting a first portion of the modulated optical signal and a second portion of the modulated optical signal, wherein each of the first and second portions of the modulated optical signal comprises an independent noise distribution indicative of polarization dependent loss (PDL);
transforming any elliptical polarizations associated with the independent noise distribution into a ball polarization;
determining a correlation between time-varying parameters of the first and second portions of the modulated optical signal; and
determining a polarization dependent loss (PDL) mitigated optical signal-to-noise ratio (OSNR) based on the correlation between the time-varying parameters, the optical power spectrum of the modulated optical signal, and the ball polarization.
8. The method of claim 7 , further comprising:
measuring the time-varying parameters of the first and second portions of the modulated optical signal.
9. The method of claim 8 , wherein the independent noise distribution introduced during signal transmission randomly varies in 10 Hz cycles, and transforming any elliptical polarization associated with the independent noise distribution into a ball polarization is in 1 kHz speed.
10. The method of claim 8 , wherein transforming any elliptical polarization associated with the independent noise distribution into a ball polarization comprises determining a state of polarization (SOP).
11. The method of claim 10 , wherein a correlation time interval is used for an integration duration when determining the state of polarization (SOP).
12. The method of claim 8 , wherein transforming any elliptical polarization associated with the independent noise distribution into a ball polarization comprises:
applying Jones matrix multiplications to the first and second portions of the modulated optical signal to yield an output; and
applying Stokes vector calculations to the output.
13. The method of claim 12 , wherein:
the Stokes vector is applied such that:
S0 represents sum of power,
S1 represents vertical/horizontal power unbalance,
S2 represents 45/−45 degree power unbalance, and
S3 represents right/left circular power unbalance; and
applying a feedback loop to get S1, S2, S3 to zero, wherein the Stokes vector calculations and feedback loop are calculated for every integration interval.
14. The method of claim 13 , wherein the Jones matrix multiplications are applied in analog-to-digital converter (ADC) sample speed.
15. The method of claim 13 , wherein the Stokes vector calculations and feedback loop are calculated for every integration interval.
16. A non-transitory computer-readable storage medium having an executable stored thereon, which when executed instructs a processor to perform the method of claim 7 .
17. A method comprising:
measuring an optical power spectrum of a modulated optical signal, wherein the optical power spectrum comprises at least one of a plurality of wavelength channels:
transforming any elliptical polarization associated with independent noise distribution into a ball polarization;
determining a correlation between time-varying parameters of first and second portions of the modulated optical signal, wherein each of the first and second portions of the modulated optical signal comprises an independent noise distribution indicative of polarization dependent loss (PDL); and
calculating a polarization dependent loss (PDL) mitigated optical signal-to-noise ratio (OSNR) based on the correlation between the time-varying parameters, the optical power spectrum of the modulated optical signal, and the ball polarization.
18. The method of claim 17 , wherein transforming any elliptical polarization associated with the independent noise distribution into a ball polarization comprises at least one of:
determining a state of polarization (SOP), and wherein a correlation time interval is used for an integration duration when determining the state of polarization (SOP);
applying Jones matrix multiplications to the first and second portions of the modulated optical signal to yield an output; or
applying Stokes vector calculations to the output such that:
S0 represents sum of power,
S1 represents vertical/horizontal power unbalance,
S2 represents 45/−45 degree power unbalance, and
S3 represents right/left circular power unbalance; and
applying a feedback loop to get S1, S2, S3 to zero, wherein the Stokes vector calculations and feedback loop are calculated for every integration interval.
19. The method of claim 18 , wherein the Jones matrix multiplications are applied in analog-to-digital converter (ADC) sample speed, and wherein the Stokes vector calculations and feedback loop are calculated for every integration interval.
20. A non-transitory computer-readable storage medium having an executable stored thereon, which when executed instructs a processor to perform the method of claim 17 .