Method of quadrature-phase amplitude modulation

• US 4,855,692 A
• Filed: 06/20/1988
• Issued: 08/08/1989
• Est. Priority Date: 06/20/1988
• Status: Expired due to Term

• Current Assignee: Nortel Networks Limited (Nortel Networks Corporation)
• Original Assignee: Northern Telecom Limited (Nortel Networks Corporation)
• Inventors: Middleton, Joseph L., McNicol, John D., Wu, Kuang-Tsan, Kennard, Paul A.
• Primary Examiner(s): Grimm, Siegfried H.
• Application Number:
  US07/208,701
• Time in Patent Office: 414 Days
• Field of Search: 332/9 R, 332/16 R, 332/17, 332/18, 332/31 R, 332/37 R, 375/39, 375/67
• US Class Current: 332/103
• CPC Class Codes: H04L 27/3411 reducing the peak to average power ratio or the mean power of the constellation; Arrangements for increasing the shape gain of a signal set

Abstract

A square array of signal points forming a QAM signal point constellation is modified by relocating signal points from corners of the square to positions extrapolated from the square array and at reduced distances from the origin, corresponding to reduced peak amplitude levels. The relocation is effected in a manner to maintain, at least for a majority of the relocated points, a Hamming distance of one. To this end for a constellation of 2²ⁿ points, with n=4 or more and points with I and Q amplitudes 1, 3, 5, . . . 2ⁿ -1 units in the square array, a plurality of points in each quadrant are relocated to positions, relative to positions which they would have in the square array, rotated through an angle of 180° about predetermined reference points having I and Q amplitude co-ordinates of (2ⁿ,2^n-1) and (2^n-1,2ⁿ). Specific examples are described for 256 QAM (n=4) and 1024 QAM (n=5).

Claims

1. A method of quadrature-phase amplitude modulation comprising the step of amplitude modulating two carrier signal components I and Q in phase quadrature in accordance with signal points in a signal point constellation, the signal point constellation comprising 2²ⁿ signal points, where n is an integer equal to or greater than 4, arranged in a modified square array with substantially 2^2n-2 points in each of four quadrants defined by I and Q axes intersecting at an origin of a phase-plane diagram, the signal points in each quadrant of the square array having I and Q component amplitudes of 1, 3, 5, . . . 2ⁿ -1 units, the square array being modified by relocating a plurality of points in each quadrant from positions adjacent to a corner of the square to positions extrapolated from the square array and having reduced distances from the origin, wherein in each quadrant each of a majority of the points so relocated is located in a position, relative to the position which it would have in the square array, rotated through an angle of 180°

about one of two predetermined points, said two predetermined points having I and Q amplitude co-ordinates of substantially (2ⁿ,2^n-1) and (2^n-1,2ⁿ).

2. A method as claimed in claim 1 wherein in each quadrant all of the signal points so relocated are located in positions rotated through an angle of 180°

about said predetermined points.

3. A method as claimed in claim 2 wherein n=4.

4. A method as claimed in claim 3 wherein 5 signal points are relocated in each quadrant.

5. A method as claimed in claim 2 wherein n=5.

6. A method as claimed in claim 5 wherein 19 signal points are relocated in each quadrant.

7. A method as claimed in claim 1 wherein in each quadrant all but one of the relocated signal points are located in positions rotated through an angle of 180°

about said predetermined points.

8. A method as claimed in claim 7 wherein n=4.

9. A method as claimed in claim 8 wherein 6 signal points are relocated in each quadrant, five of them being located in positions rotated through an angle of 180°

about said predetermined points.

10. A method as claimed in claim 7 wherein n=5.

11. A method as claimed in claim 10 wherein 19 signal points are relocated in each quadrant, 18 of them being located in positions rotated through an angle of 180°

about said predetermined points.

12. A method as claimed in claim 11 wherein in each quadrant the nineteenth relocated signal point is located in a position having a separation of at least (8)^1/2 units from the nearest adjacent signal point in the same quadrant.

13. A method as claimed in claim 1 wherein n=4.

14. A method as claimed in claim 13 wherein in each quadrant 5 signal points are relocated to positions rotated through an angle of 180°

about said predetermined points.

15. A method as claimed in claim 1 wherein n=5.

16. A method as claimed in claim 15 wherein in each quadrant at least 18 signal points are relocated to positions rotated through an angle of 180°

about said predetermined points.

17. A method as claimed in claim 1 wherein the signal points in the four quadrants are relocated so that the signal point constellation is symmetric about the I and Q axes.

18. A method as claimed in claim 1 wherein the signal points in the four quadrants are relocated so that the signal point constellation is rotationally invariant for phase changes of 90°

.

19. A method of quadrature-phase amplitude modulation comprising the step of amplitude modulating two carrier signal components I and Q in phase quadrature in accordance with signal points in a signal point constellation, the signal point constellation comprising 2²ⁿ signal points, where n is an integer equal to or greater than 4, arranged in a modified square array with substantially 2^2n-2 points in each of four quadrants defined by I and Q axes intersecting at an origin of a phase-plane diagram, the square array being modified by relocating a plurality of points in each quadrant from positions adjacent to a corner of the square to positions extrapolated from the square array and having reduced distances from the origin, wherein each of a majority of the points so relocated is relocated, about an axis parallel to one of said I and Q axes and substantially bisecting the points in the quadrant, to a position at substantially the same distance from said axis.