Phase rotation estimation
View Patent ↗Apparatus, systems, and methods are described that implement techniques for estimating a relative rotation between a first complex signal and a second complex signal. In apparatus form, a rotation-estimation circuit includes a first quadrant detector and receives the first and second complex signals and produces an estimate of the relative rotation between the complex signals. A variable rotator receives the estimate of the relative rotation and rotates at least one of the first and second complex signals using the estimate of the relative rotation. In method form, a first quadrant estimate is calculated that corresponds to the relative rotation between the first and second complex signals, and at least one of the first and second complex signals is rotated using the quadrant estimate of the relative rotation.
1. A circuit comprising:
a first estimator rotator operable to receive a first complex signal and produce a first rotated complex signal, the first estimator rotator having a non-zero first rotation angle;
a first quadrant detector for receiving the first rotated complex signal and a second complex signal and producing a first quadrant estimate of a relative rotation between the first rotated complex signal and a second complex signal
a rotation-estimation circuit operable to receive the first complex signal and the second complex signal and produce an estimate of a relative rotation between the first and second complex signals; and
a variable rotator operable to receive the estimate of the relative rotation and rotate at least one of the first and second complex signals using the estimate of the relative rotation.
2. The circuit of claim 1 , wherein:
the first quadrant estimate is used to preset the estimate of the relative rotation between the first and second complex signals.
3. The circuit of claim 1 , wherein:
the rotation-estimation circuit includes a second estimator rotator operable to receive the first complex signal and produce a second rotated complex signal, the second estimator rotator having a second rotation angle, the second rotation angle being different from the first rotation angle;
the rotation-estimation circuit includes a second quadrant detector operable to receive the second rotated complex signal and the second complex signal and produce a second quadrant estimate of a rotation between the second rotated complex signal and the second complex signal; and
the rotation-estimation circuit includes a fine-phase-detector block operable to receive the first and second quadrant estimates and produce a segment estimate of the rotation between the first and second complex signals.
4. The circuit of claim 3 , wherein:
the second rotation angle is zero; and
the second rotated complex signal is identical to the first complex signal.
5. The circuit of claim 3 , wherein:
the estimate of the relative rotation between the first and second complex signals includes the segment estimate.
6. The circuit of claim 1 , further comprising:
a filter operable to filter at least one of the first rotated complex signal and the second complex signal.
7. The circuit of claim 1 , further comprising:
a filter operable to filter at least one of the first rotated complex signal and the second complex signal.
8. The circuit of claim 1 , wherein:
the first quadrant detector is a digital quadrant detector.
9. A method comprising:
calculating a first quadrant estimate corresponding to a relative rotation between the first and second complex signals; and
rotating at least one of the first and second complex signals using the quadrant estimate of the relative rotation;
producing a first rotated complex signal from the first complex signal, wherein the first quadrant estimate includes an estimate of a relative rotation between the first rotated complex signal and the second complex signal.
10. The method of claim 9 , wherein:
rotating at least one of the first and second complex signals using the quadrant estimate includes presenting a rotation estimate using the quadrant estimate.
11. The method of claim 9 , further comprising:
producing a second rotated complex signal from the first complex signal, the second rotated complex signal having a different rotation angle relative to the first complex signal that the first rotated complex signal;
calculating a second quadrant estimate of a relative rotation between the second rotated complex signal and the second complex signal; and
producing a segment estimate of the rotation between the first and second complex signals using the first and second quadrant estimates.
12. The method of claim 11 , wherein:
a rotation angle of the second rotated complex signal relative to the first complex signal is zero degrees.
13. The method of claim 11 , wherein:
rotating at least one of the first and second complex signals using the quadrant estimate includes presetting a rotation estimate using the segment estimate.
14. The method of claim 11 , further comprising:
rotating at least one of the first and second complex signals using the quadrant estimate includes rotating at least one of the first and second complex signals based on the segment estimate.
15. The circuit of claim 9 , further comprising:
filtering at least one of the first rotated complex signal and the second complex signal.
16. A Cartesian feedback transmitter comprising:
a circuit including
a rotation-estimation circuit including a first quadrant detector, the rotation-estimation circuit operable to receive a first complex signal and a second complex signal and produce an estimate of a relative rotation between the first and second complex signals; and
a variable rotator operable to receive the estimate of the relative rotation and rotate at least one of the first and second complex signals using the estimate of the relative rotation.
17. The Cartesian feedback transmitter of claim 16 , wherein:
the rotation-estimation circuit includes a first estimator rotator operable to receive the first complex signal and produce a first rotated complex signal, the first estimator rotator having a non-zero first rotation angle; and
the first quadrant detector receives the first rotated complex signal and the second complex signal and produces a first quadrant estimate of a relative rotation between the first rotated complex signal and the second complex signal.