Phase slip reduction method

1. A phase-slip reduction method for receivers in a coherent communication system transmitting predetermined reference symbols and non-differentially modulated data symbols exhibiting N-ary symmetry and requiring acquisition of absolute phase for demodulation comprising the steps of:

a) obtaining a phase estimate modulo 2π/N of the non-differentially modulated signal at times the reference symbols are received;

b) forming a trellis with nodes and branches between adjacent nodes wherein N nodes at one time of said times are labeled by absolute angles obtained by adding modulo 2π said estimate at that time plus distinct multiples of 2π/N;

c) assigning to the nodes at said one time, weights dependent on the difference modulo 2π between said nodes labels and received reference symbol angle at said time;

d) assigning to each branch a length dependent on the difference modulo 2π between the labels of the branch end nodes;

e) determining a decision path that is a shortest path traversing the trellis, where the length of a path is the sum of the branch lengths and node weights on said path; and

f) for each received data symbol, determining an absolute demodulation angle by interpolating between the node labels on the decision path.

2. The phase-slip reduction method of claim 1 wherein said coherent communication system is a dual polarization system.

3. The phase slip reduction method of claim 2 wherein only one instance of the method is operating at a given time.

4. The phase slip reduction method of claim 2 wherein two instances of the method are operating at a given time.

5. A system for phase-slip reduction for receivers in a coherent communication system transmitting predetermined reference symbols and non-differentially modulated data symbols exhibiting N-ary symmetry and requiring acquisition of absolute phase for demodulation comprising a computing device including a processor and a memory coupled to said processor said memory having stored thereon computer executable instructions that upon execution by the processor cause the system to:

a) obtain a phase estimate modulo 2π/N of the non-differentially modulated signal at times the reference symbols are received;

b) form a trellis with nodes and branches between adjacent nodes wherein the N nodes at one time of said times are labeled by absolute angles obtained by adding modulo 2π said estimate at that time plus distinct multiples of 2π/N;

c) assign to the nodes at said one time weights dependent on the difference modulo 2π between said nodes labels and received reference symbol angle at said time;

d) assign to each branch a length dependent on the difference modulo 2π between the labels of the branch end nodes;

e) determine a decision path that is a shortest path traversing the trellis, where the length of a path is the sum of the branch lengths and node weights on said path; and

f) for each received data symbol, determine an absolute demodulation angle by interpolating between the node labels on the decision path.

6. The phase-slip reduction system of claim 5 wherein said coherent communication system is a dual polarization system.

7. The phase slip reduction system of claim 6 wherein only one instance of the method is operating at a given time.

8. The phase slip reduction system of claim 6 wherein two instances of the method are operating at a given time.

9. A computer implemented method for phase-slip reduction for receivers in a coherent communication system transmitting predetermined reference symbols and non-differentially modulated data symbols exhibiting N-ary symmetry and requiring acquisition of absolute phase for demodulation comprising the steps of:

a) obtaining a phase estimate modulo 2π/N of the non-differentially modulated signal at times the reference symbols are received;

b) forming a trellis with nodes and branches between adjacent nodes wherein the N nodes at one time of said times are labeled by absolute angles obtained by adding modulo 2π said estimate at that time plus distinct multiples of 2π/N;

c) assigning to the nodes at said one time, weights dependent on the difference modulo 2π between said nodes labels and received reference symbol angle at said time;

d) assigning to each branch a length dependent on the difference modulo 2π between the labels of the branch end nodes;

e) determining a decision path that is a shortest path traversing the trellis, where the length of a path is the sum of the branch lengths and node weights on said path; and

f) for each received data symbol, determining an absolute demodulation angle by interpolating between the node labels on the decision path.

10. The computer implemented phase-slip reduction method of claim 9 wherein said coherent communication system is a dual polarization system.

11. The computer implemented phase slip reduction method of claim 10 wherein one instance of the method is operating at a given time.

12. The computer implemented phase slip reduction method of claim 10 wherein two instances of the method are operating at a given time.