Multiturn sensor arrangement and readout

1. A system comprising:

a multiturn counter configured to store a magnetic state associated with a number of accumulated turns of a magnetic field, the multiturn counter configured to count at least two turns, and the multiturn counter comprising:

a giant magnetoresistance (GMR) track comprising a plurality of magnetoresistive elements electrically coupled in series with each other, the plurality of magnetoresistive elements comprising at least eight magnetoresistive elements, wherein the magnetic state stored by the plurality of magnetoresistive elements is configured to change in response to rotation of the magnetic field; and

a matrix of electrical connections arranged to electrically connect magnetoresistive elements of the plurality of magnetoresistive elements to other magnetoresistive elements of the plurality of magnetoresistive elements, the matrix being at least three by three.

2. The system of claim 1 , further comprising a driving and sensing circuit configured to select an individual magnetoresistive element of the plurality of magnetoresistive elements and to determine a measure of resistance of the individual magnetoresistive element.

3. The system of claim 2 , further comprising a decoder configured to provide an output indicative of the number of accumulated turns of the magnetic field based the measure of resistance of the individual magnetoresistive element and respective measures of resistance of other magnetoresistive elements of the plurality of magnetoresistive elements.

4. The system of claim 1 , wherein the GMR track is physically laid out in a spiral shape.

5. The system of claim 1 , wherein the multiturn counter further comprises a domain wall generator coupled to one end of the plurality of magnetoresistive elements.

6. The system of claim 1 , wherein the multiturn counter is configured to count N turns, the system further comprising:

a number of sensing circuits, the number being less than 2 times N; and

a plurality of switches configured to electrically couple an individual magnetoresistive element of the plurality of magnetoresistive elements to an individual sensing circuit of the number of sensing circuits.

7. The system of claim 4 , wherein:

the track has N magnetoresistive elements, where N is greater than or equal to 8;

the GMR track has R physical connections to rows of electrical connections of the matrix of electrical connections;

the track has C physical connections to columns of electrical connections of the matrix of electrical connections;

the following equations are satisfied:

N ≤( R+ 1)*( C+ 1); and

N ≥( R− 1)*( C− 1);

C is 3 or greater; and

R is 3 or greater.

8. A system with multiturn magnetic sensing, the system comprising:

a giant magnetoresistance (GMR) strip comprising a plurality of magnetoresistive elements electrically coupled in series with each other, the plurality of magnetoresistive elements together configured to store a state associated with an accumulated number of turns of a magnetic field, wherein the state stored by the plurality of magnetoresistive elements is configured to change in response to rotation of the magnetic field; and

a driving and sensing circuit coupled to the GMR strip, the driving and sensing circuit configured to select an individual magnetoresistive element of the plurality of magnetoresistive elements to cause a voltage drop across the individual magnetoresistive element, and the driving and sensing circuit configured to provide an indication of a resistance of the individual magnetoresistive element.

9. The system of claim 8 , further comprising a matrix of electrical connections coupled to a plurality of nodes on the GMR strip, wherein the driving and sensing circuit is coupled to the GMR strip via the matrix of electrical connections.

10. The system of claim 9 , wherein the matrix comprises rows of electrical connections and columns of electrical connections, and the driving and sensing circuit is configured select a row of the rows and a column of the columns to select the individual magnetoresistive element.

11. The system of claim 9 , wherein the matrix electrically connects magnetoresistive elements of the plurality of magnetoresistive elements to respective other magnetoresistive elements of the plurality of magnetoresistive elements.

12. The system of claim 8 , further comprising a domain wall generator configured to propagate one or more domain walls through the GMR strip in response to a rotation of the magnetic field.

13. The system of claim 8 , wherein the plurality of magnetoresistive elements comprise eight magnetoresistive elements.

14. The system of claim 8 , wherein the GMR strip has a spiral shaped layout.

15. The system of claim 8 , further comprising a decoder electrically connected to the driving and sensing circuit, the decoder configured to determine the state associated with the accumulated number of turns of the magnetic field and to provide an output indicative of the number of accumulated turns of the magnetic field.

16. The system of claim 8 , wherein the driving and sensing circuit is configured to select different individual magnetoresistive elements from the plurality of magnetoresistive elements and to determine an indication of resistance of each of the different the individual magnetoresistive elements.

17. A method of multiturn magnetic sensing, the method comprising:

storing, with a giant magnetoresistance (GMR) strip comprising a plurality of magnetoresistive elements electrically connected in series with each other, a state associated with an accumulated number of turns of a magnetic field, wherein the state stored by the plurality of magnetoresistive elements changes in response to rotation of the magnetic field;

selecting an individual magnetoresistive element of the plurality of magnetoresistive elements to cause a voltage drop across the individual magnetoresistive element; and

detecting a measure of resistance of the individual magnetic magnetoresistive element.

18. The method of claim 17 , wherein said selecting comprises selecting a row of a plurality of rows of a matrix of electrical connections and a column of a plurality of columns of the matrix of electrical connections, wherein the matrix of electrical connections is coupled to a plurality of nodes on the GMR strip.

19. The method of claim 17 , further comprising determining, with a decoder, the state associated with the accumulated number of turns of the magnetic field based at least partly on said detecting.

20. The method of claim 17 , further comprising:

selecting a different individual magnetoresistive element from the plurality of magnetoresistive elements to cause a voltage drop across the different individual magnetoresistive element; and

detecting a measure of resistance of the different individual magnetoresistive element.