Geometrically shaping QAM modulation
A method, system, and apparatus for encoding a data for transmission across a communication link, the comprising encoding the data into a constellation; wherein the constellation is of a power 2 n ; wherein n is an odd number; wherein encoding the constellation creates outer constellation points forming a square at an edge of the constellation.
1. A method for encoding a data for transmission across a communication link, the method comprising:
encoding the data into a constellation; wherein the constellation is of a power 2 n ; wherein n is an odd number; wherein encoding the constellation creates outer constellation points forming a square at an edge of the constellation; wherein a beta of the constellation is optimized to increase distance between at least some of the constellation points.
2. The method of claim 1 wherein the constellation corresponds to an 8 QAM encoding.
3. The method of claim 1 wherein the constellation corresponds to a 32 QAM encoding.
4. The method of claim 1 wherein the constellation corresponds to a 128 QAM encoding.
5. The method of claim 1 wherein the inner constellation points form a square QAM constellation of the order 2 n-1 .
6. The method of claim 5 wherein the inner constellation corresponds to a QPSK encoding.
7. The method of claim 5 wherein the inner constellation corresponds to a 16 QAM encoding.
8. A digital signal processor including logic for encoding a data for transmission across a communication link, the logic enabling:
encoding the data into a constellation; wherein the constellation is of a power 2 n ; wherein n is an odd number; wherein encoding the constellation creates outer constellation points forming a square at an edge of the constellation; wherein a beta of the constellation is optimized to increase distance between at least some of the constellation points.
9. The digital signal processor of claim 8 wherein the constellation corresponds to an 8 QAM encoding.
10. The digital signal processor of claim 8 wherein the constellation corresponds to a 32 QAM encoding.
11. The digital signal processor of claim 8 wherein the constellation corresponds to a 128 QAM encoding.
12. The digital signal processor of claim 8 wherein the inner constellation points form a square QAM constellation of the order 2 n-1 .
13. The apparatus of claim 12 wherein the inner constellation corresponds to a QPSK encoding.
14. The apparatus of claim 12 wherein the inner constellation corresponds to a 16 QAM encoding.
15. A system for encoding a data for transmission across a communication link, the system comprising:
a processor; and
logic configured to be run on the processor; the logic enabling:
encoding the data into a constellation; wherein the constellation is of a power 2 n ; wherein n is an odd number; wherein encoding the constellation creates outer constellation points forming a square at an edge of the constellation; wherein a beta of the constellation is optimized to increase distance between at least some of the constellation points.
16. The system of claim 15 wherein the constellation corresponds to an 8 QAM encoding.
17. The system of claim 15 wherein the constellation corresponds to a 32 QAM encoding.
18. The system of claim 15 wherein the constellation corresponds to a 128 QAM encoding.
19. The system of claim 15 wherein the inner constellation points form a square QAM constellation of the order 2 n-1 .
20. The system of claim 19 wherein the inner constellation corresponds to a 16 QAM encoding.