Nonlinear penalty estimation using spectral inversion in optical transport networks
Methods and systems may estimate nonlinear penalties for optical paths using spectral inversion in optical transport networks. Certain values of nonlinear transfer functions for nonlinear penalty estimation may be pre-calculated for optical paths between given nodes. When an optical path computation for using spectral inversion between a given source node and a given destination node is desired, the pre-calculated values may be concatenated for improved computational efficiency.
1. A method for estimating nonlinear noise in optical transport networks for optical paths, the method comprising:
identifying a candidate path in an optical transport network, the candidate path comprising K number of nodes designated 1 to K;
for each value of a positive integer k such that (1<k<K):
based on a spectral inversion node functional at node k, calculating a first value based on nonlinear transfer function integrals for each link from node 1 to node k, the first value representing nonlinear noise in links before the spectral inversion node along the candidate path, calculating the first value includes:
retrieving nonlinear transfer function integral values for each link from node 1 to node k,
adding an accumulated term for phase shift by dispersion to each of the integral values for each link from node 1 to node k,
concatenating the integral values for each link from node 1 to node k,
multiplying the concatenated integral values by a phase shift exponential term corresponding to a dispersion compensation module located at the spectral inversion node, and
phase conjugating the integral values for each link from node 1 to k;
calculating a second value based on nonlinear transfer function integrals for each link from node k to node K, the second value representing nonlinear noise in links after the spectral inversion node along the candidate path; and
adding the first value and the second value to obtain a third value as a function of k; and
selecting the value of k based on the third value, wherein the spectral inversion node is placed at node k in the candidate path.
2. The method of claim 1 , wherein selecting the value of k further comprises:
selecting the value of k based on a minimum value of the third value, the minimum value of the third value occurring when k=K−1.
3. The method of claim 1 , wherein calculating the second value further comprises:
retrieving nonlinear transfer function integral values for each link from node k to node K;
adding an accumulated term for phase shift by dispersion to each of the integral values for each link from node k to node K;
concatenating the integral values for each link from node k to node K; and
dividing the concatenated integral values by a phase shift exponential term for dispersion prior to node k.
4. A network management system for estimating nonlinear noise in optical transport networks for optical paths, the network management system comprising:
a processor enabled to access a memory media storing instructions executable by the processor to:
identify a candidate path in an optical transport network, the candidate path comprising K number of nodes designated 1 to K;
for each value of a positive integer k such that (1<k<K):
based on a spectral inversion node functional at node k, calculate a first value based on nonlinear transfer function integrals for each link from node 1 to node k, the first value representing nonlinear noise in links before the spectral inversion node along the candidate path, calculate the first value includes:
retrieving nonlinear transfer function integral values for each link from node 1 to node k,
adding an accumulated term for phase shift by dispersion to each of the integral values for each link from node 1 to node k,
concatenating the integral values for each link from node 1 to node k,
multiplying the concatenated integral values by a phase shift exponential term corresponding to a dispersion compensation module located at the spectral inversion node, and
phase conjugating the integral values for each link from node 1 to k;
calculate a second value based on nonlinear transfer function integrals for each link from node k to node K, the second value representing nonlinear noise in links after the spectral inversion node along the candidate path; and
add the first value and the second value to obtain a third value as a function of k; and
select the value of k based on the third value, wherein the spectral inversion node is placed at node k in the candidate path.
5. The network management system of claim 4 , wherein the instructions to select the value of k further comprise instructions to:
select the value of k based on a minimum value of the third value, the minimum value of the third value occurring when k=K−1.
6. The network management system of claim 4 , wherein the instructions to calculate the second value further comprise instructions to:
retrieve nonlinear transfer function integral values for each link from node k to node K;
add an accumulated term for phase shift by dispersion to each of the integral values for each link from node k to node K;
concatenate the integral values for each link from node k to node K; and
divide the concatenated integral values by a phase shift exponential term for dispersion prior to node k from.
7. A method for estimating nonlinear noise in optical transport networks for optical paths, the method comprising:
identifying a candidate path in an optical transport network, the candidate path comprising K number of nodes designated 1 to K;
for each value of a positive integer k such that (1<k<K):
based on a spectral inversion node functional at node k, calculating a first value based on nonlinear transfer function integrals for each link from node 1 to node k, the first value representing nonlinear noise in links before the spectral inversion node along the candidate path;
calculating a second value based on nonlinear transfer function integrals for each link from node k to node K, the second value representing nonlinear noise in links after the spectral inversion node along the candidate path, calculating the second value includes:
retrieving nonlinear transfer function integral values for each link from node k to node K,
adding an accumulated term for phase shift by dispersion to each of the integral values for each link from node k to node K,
concatenating the integral values for each link from node k to node K, and
dividing the concatenated integral values by a phase shift exponential term for dispersion prior to node k; and
adding the first value and the second value to obtain a third value as a function of k; and
selecting the value of k based on the third value, wherein the spectral inversion node is placed at node k in the candidate path.
8. The method of claim 7 , wherein selecting the value of k further comprises:
selecting the value of k based on a minimum value of the third value, the minimum value of the third value occurring when k=K−1.
9. The method of claim 7 , wherein calculating the first value further comprises:
retrieving nonlinear transfer function integral values for each link from node 1 to node k;
adding an accumulated term for phase shift by dispersion to each of the integral values for each link from node 1 to node k;
concatenating the integral values for each link from node 1 to node k;
multiplying the concatenated integral values by a phase shift exponential term corresponding to a dispersion compensation module located at the spectral inversion node; and
phase conjugating the integral values for each link from node 1 to k.
10. A network management system for estimating nonlinear noise in optical transport networks for optical paths, the network management system comprising:
a processor enabled to access a memory media storing instructions executable by the processor to:
identify a candidate path in an optical transport network, the candidate path comprising K number of nodes designated 1 to K;
for each value of a positive integer k such that (1<k<K):
based on a spectral inversion node functional at node k, calculate a first value based on nonlinear transfer function integrals for each link from node 1 to node k, the first value representing nonlinear noise in links before the spectral inversion node along the candidate path;
calculate a second value based on nonlinear transfer function integrals for each link from node k to node K, the second value representing nonlinear noise in links after the spectral inversion node along the candidate path, calculate the second value includes:
retrieving nonlinear transfer function integral values for each link from node k to node K;
adding an accumulated term for phase shift by dispersion to each of the integral values for each link from node k to node K;
concatenating the integral values for each link from node k to node K; and
dividing the concatenated integral values by a phase shift exponential term for dispersion prior to node k from; and
add the first value and the second value to obtain a third value as a function of k; and
select the value of k based on the third value, wherein the spectral inversion node is placed at node k in the candidate path.
11. The network management system of claim 10 , wherein the instructions to select the value of k further comprise instructions to:
select the value of k based on a minimum value of the third value, the minimum value of the third value occurring when k=K−1.
12. The network management system of claim 10 , wherein the instructions to calculate the first value further comprise instructions to:
retrieve nonlinear transfer function integral values for each link from node 1 to node k;
add an accumulated term for phase shift by dispersion to each of the integral values for each link from node 1 to node k;
concatenate the integral values for each link from node 1 to node k;
multiply the concatenated integral values by a phase shift exponential term corresponding to a dispersion compensation module located at the spectral inversion node; and
phase conjugate the integral values for each link from node 1 to k.