Method for improving the performance of digital coherent optical receiver using single ended photo-detection
AssigneeAT&T Intellectual Property I, L.P.
InventorXiang Zhou
Life of this patent
Estimating the term…
Abstract
A method and system for mitigating distortion in coherent single-ended photo-detection is disclosed. The methodology comprises: receiving an optical signal carried on an optical transmission medium and coherently detecting the received optical signal to produce a digitized signal; estimating a time-dependent random variable introducing distortion to the coherently detected signal; and subtracting the distortion from digitized signal to produce a distortion mitigated output signal.
Claims6
A method for mitigating distortion in coherent single-ended photo-detection comprising
- receiving an optical signal carried on an optical transmission medium and coherently detecting the received optical signal to produce a digitized signal;
- estimating a time-dependent random variable introducing distortion to the coherently detected signal;
- subtracting the distortion from the digitized signal to produce a distortion mitigated output signal;
- wherein signal power received by photo-detectors in the coherent detection is represented by:
- P
- I
-
- (
- t
- )
- =
- P
- S
-
- (
- t
- )
- +
- P
- L
-
- (
- t
- )
- +
- 2
-
- P
- S
-
- (
- t
- )
-
- P
- L
-
- (
- t
- )
-
- cos
-
- (
- θ
-
- (
- t
- )
- )
- P
- Q
-
- (
- t
- )
- =
- P
- S
-
- (
- t
- )
- +
- P
- L
-
- (
- t
- )
- +
- 2
-
- P
- S
-
- (
- t
- )
-
- P
- L
-
- (
- t
- )
-
- sin
-
- (
- θ
-
- (
- t
- )
- )
- wherein PS(t) denotes the signal power and PL(t) denotes local oscillator power of a reference optical signal, and θ(t) represents a relative phase between the received optical signal and the reference optical signal, and further, wherein a digitized signal with AC coupling is represented by:
- I
- I
-
- (
- n
- )
- ≅
- I
- ~
- S
-
- (
- n
- )
- +
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- cos
-
- (
- θ
-
- (
- t
- n
- )
- )
- I
- Q
-
- (
- n
- )
- ≅
- I
- ~
- S
-
- (
- n
- )
- +
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- sin
-
- (
- θ
-
- (
- t
- n
- )
- )
- and IS(n) denotes the coherently detected signal and IL(n) denotes a local oscillator signal, and ĨS(n) is the time-dependent random variable introducing distortion;
- wherein a first-order approximation is represented by:
- I
- I
-
- (
- n
- )
- ≈
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- cos
-
- (
- θ
-
- (
- t
- n
- )
- )
- I
- Q
-
- (
- n
- )
- ≈
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- sin
-
- (
- θ
-
- (
- t
- n
- )
- )
- and
-
- :
- I
- I
- 2
-
- (
- n
- )
- +
- I
- Q
- 2
-
- (
- n
- )
- ≈
- 4
-
- I
- ~
- S
-
- (
- n
- )
-
- I
- _
- L
-
- (
- n
- )
- +
- 4
-
- I
- _
- S
-
- I
- _
- L
- I
- I
- 2
- +
- I
- Q
- 2
- _
- =
- 4
-
- I
- _
- S
-
- I
- _
- L
- and ĪS(n) and ĪL(n) denote a DC component of IS(n) and IL(n) respectively, and II2+Iq2 denotes a DC component of II2(n)=Iq2(n), and, the first-order approximation of ĨS(n) is represented by:
- I
- ~
- S
- (
- 1
- )
-
- (
- n
- )
- =
- I
- I
- 2
-
- (
- n
- )
- +
- I
- Q
- 2
-
- (
- n
- )
- -
- I
- I
- 2
- +
- I
- Q
- 2
- _
- 4
-
- I
- _
- L
- and, a known local-oscillator-to-signal power ratio (LOSPR), defined as PL/ PS, is approximated as ĪL/ĪS such that ĪL is represented by:
- I
- _
- L
- ≈
- I
- I
- 2
- +
- I
- Q
- 2
- _
- ·
- LOSPR
- 2
- .
A system for mitigating distortion in coherent single-ended photo-detection, comprising:
- a coherent detector including a plurality of phase and polarization diverse hybrids and polarization beam splitters, photo-detectors and analog-to-digital converters, the detector configured to receive an optical signal carried on an optical transmission medium and coherently detect the received optical signal to produce a digitized signal;
- a digital signal processor including a module for estimating a time-dependent random variable introducing distortion to the coherently detected signal and subtracting the distortion from the digitized signal to produce a distortion mitigated output signal;
- wherein signal power received by the photo-detectors is represented by:
- P
- I
-
- (
- t
- )
- =
- P
- S
-
- (
- t
- )
- +
- P
- L
-
- (
- t
- )
- +
- 2
-
- P
- S
-
- (
- t
- )
-
- P
- L
-
- (
- t
- )
-
- cos
-
- (
- θ
-
- (
- t
- )
- )
- P
- Q
-
- (
- t
- )
- =
- P
- S
-
- (
- t
- )
- +
- P
- L
-
- (
- t
- )
- +
- 2
-
- P
- S
-
- (
- t
- )
-
- P
- L
-
- (
- t
- )
-
- sin
-
- (
- θ
-
- (
- t
- )
- )
- wherein PS(t) denotes the signal power and PL(t) denotes local oscillator power of a reference optical signal, and θ(t) represents a relative phase between the received optical signal and the reference optical signal, and further, wherein a digitized electrical signal with AC coupling is represented by:
- I
- I
-
- (
- n
- )
- ≅
- I
- ~
- S
-
- (
- n
- )
- +
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- cos
-
- (
- θ
-
- (
- t
- n
- )
- )
- I
- Q
-
- (
- n
- )
- ≅
- I
- ~
- S
-
- (
- n
- )
- +
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- sin
-
- (
- θ
-
- (
- t
- n
- )
- )
- and IS(n) denotes the coherently detected signal and IL(n) denotes a local oscillator signal, and ĨS(n) is the time-dependent random variable introducing distortion;
- wherein a first-order approximation is represented by:
- I
- I
-
- (
- n
- )
- ≈
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- cos
-
- (
- θ
-
- (
- t
- n
- )
- )
- I
- Q
-
- (
- n
- )
- ≈
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- sin
-
- (
- θ
-
- (
- t
- n
- )
- )
- and
-
- :
- I
- I
- 2
-
- (
- n
- )
- +
- I
- Q
- 2
-
- (
- n
- )
- ≈
- 4
-
- I
- ~
- S
-
- (
- n
- )
-
- I
- _
- L
-
- (
- n
- )
- +
- 4
-
- I
- _
- S
-
- I
- _
- L
- I
- I
- 2
- +
- I
- Q
- 2
- _
- =
- 4
-
- I
- _
- S
-
- I
- _
- L
- where, ĪS(n) and ĪLdenote a DC component of IS(n) and IL(n), respectively, and II2+Iq2 denotes a DC component of II2(n)+Iq2(n) , and the first order approximation of ĨS(n) is represented by:
- I
- ~
- S
- (
- 1
- )
-
- (
- n
- )
- =
- I
- I
- 2
-
- (
- n
- )
- +
- I
- Q
- 2
-
- (
- n
- )
- -
- I
- I
- 2
- +
- I
- Q
- 2
- _
- 4
-
- I
- _
- L
- and a known local-oscillator-to-signal power ratio (LOSPR), defined as PL/ PS, is approximated as IL/ IS such that IL is represented by:
- I
- _
- L
- ≈
- I
- I
- 2
- +
- I
- Q
- 2
- _
- ·
- LOSPR
- 2
- .
A non-transitory computer-readable medium having encoded machine executable instructions that, when executed by at least one processor, causes an apparatus to mitigate distortion in coherent single-ended photo-detection by:
- estimating a time-dependent random variable introducing distortion to a digitized signal from a coherently detected optical signal;
- and
- subtracting the distortion from the digitized signal to produce a distortion mitigated output signal;
- wherein signal power received by photo-detectors in the coherent detection is represented by:
- P
- I
-
- (
- t
- )
- =
- P
- S
-
- (
- t
- )
- +
- P
- L
-
- (
- t
- )
- +
- 2
-
- P
- S
-
- (
- t
- )
-
- P
- L
-
- (
- t
- )
-
- cos
-
- (
- θ
-
- (
- t
- )
- )
- P
- Q
-
- (
- t
- )
- =
- P
- S
-
- (
- t
- )
- +
- P
- L
-
- (
- t
- )
- +
- 2
-
- P
- S
-
- (
- t
- )
-
- P
- L
-
- (
- t
- )
-
- sin
-
- (
- θ
-
- (
- t
- )
- )
- wherein PS(t) denotes the signal power and PL(t)denotes local oscillator power of a reference optical signal, and θ(t) represents a relative phase between the received optical signal and the reference optical signal, and further, wherein a digitized electrical signal with AC coupling is represented by:
- I
- I
-
- (
- n
- )
- ≅
- I
- ~
- S
-
- (
- n
- )
- +
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- cos
-
- (
- θ
-
- (
- t
- n
- )
- )
- I
- Q
-
- (
- n
- )
- ≅
- I
- ~
- S
-
- (
- n
- )
- +
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- sin
-
- (
- θ
-
- (
- t
- n
- )
- )
- and IS(n) denotes the coherently detected signal and IL(n) denotes a local oscillator signal, and ĨS(n) is the time-dependent random variable introducing distortion;
- and
- wherein a first-order approximation is represented by:
- I
- I
-
- (
- n
- )
- ≈
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- cos
-
- (
- θ
-
- (
- t
- n
- )
- )
- I
- Q
-
- (
- n
- )
- ≈
- 2
-
- I
- S
-
- (
- n
- )
-
- I
- L
-
- (
- n
- )
-
- sin
-
- (
- θ
-
- (
- t
- n
- )
- )
- and
-
- :
- I
- I
- 2
-
- (
- n
- )
- +
- I
- Q
- 2
-
- (
- n
- )
- ≈
- 4
-
- I
- ~
- S
-
- (
- n
- )
-
- I
- _
- L
-
- (
- n
- )
- +
- 4
-
- I
- _
- S
-
- I
- _
- L
- I
- I
- 2
- +
- I
- Q
- 2
- _
- =
- 4
-
- I
- _
- S
-
- I
- _
- L
- where ĪS(n) and ĪL(n), denote a DC component of IS(n) and IL(n), respectively, and II2+Iq2 denotes a DC component of II2(n)+Iq2(n), and, the first-order approximation of IS (n) is represented by:
- I
- ~
- S
- (
- 1
- )
-
- (
- n
- )
- =
- I
- I
- 2
-
- (
- n
- )
- +
- I
- Q
- 2
-
- (
- n
- )
- -
- I
- I
- 2
- +
- I
- Q
- 2
- _
- 4
-
- I
- _
- L
- and a known local-oscillator-to-signal power ratio (LOSPR), defined as PL/ PS is approximated as ĪL/ĪS such that ĪL is represented by:
- I
- _
- L
- ≈
- I
- I
- 2
- +
- I
- Q
- 2
- _
- ·
- LOSPR
- 2
- .
Dependencies are inferred from the claim text.