Inertial sensing systems and methods of manufacturing the same

1. A gyroscope comprising:

at least one anchor;

a plurality of spring elements, each spring element being defined by a group of radially offset spring members;

wherein each spring element of the plurality of spring elements is coupled to, and circumferentially spaced about, the at least one anchor such that adjacent groups of radially offset spring members defining each spring element of the plurality of spring elements are radially separated by a gap; and

wherein each spring member of the group of radially offset spring members comprises a radial length different from the other spring members of the group of radially offset spring members;

a proof mass comprising a plurality of concentric rings operatively coupled to the plurality of spring elements, the plurality of concentric rings encircling the plurality of spring elements; and

a detection/excitation unit (i) coupled to the plurality of concentric rings and (ii) configured to sense an angular rate of the proof mass.

2. The gyroscope in accordance with claim 1 , wherein said at least one anchor defines a central opening configured to receive an accelerometer.

3. The gyroscope in accordance with claim 1 , wherein each concentric ring of the plurality of concentric rings resonates with a substantially similar amplitude when excited by the detection/excitation unit.

4. The gyroscope in accordance with claim 1 , wherein the detection/excitation unit comprises a plurality of electrodes circumferentially spaced about the plurality of concentric rings and configured to substantially encircle the plurality of concentric rings.

5. The gyroscope in accordance with claim 1 , wherein the number of spring elements of the plurality of spring elements is based on an operating mode of the gyroscope.

6. The gyroscope in accordance with claim 1 , wherein each spring member of each group of radially offset spring members includes a radial length greater than a radial length of an immediately adjacent radially inner spring member.

7. The gyroscope in accordance with claim 1 , wherein each group of radially offset spring members includes a first spring member having a first radial length and a second spring member having a second radial length, wherein the second radial length is greater than the first radial length.

8. The gyroscope in accordance with claim 7 , wherein the second spring member of each group of radially offset spring members is positioned radially outward from the first spring member.

9. The gyroscope in accordance with claim 7 , wherein the second spring member of each group of radially offset spring members is positioned proximate the proof mass and the first spring member is positioned proximate the at least one anchor.

10. The gyroscope in accordance with claim 1 , wherein the plurality each group of spring elements circumscribe the at least one anchor.

11. A gyroscope comprising:

at least one anchor;

a plurality of spring elements, each spring element (i) being defined by a group of radially offset spring members and (ii) coupled to, and circumferentially spaced about, the at least one anchor such that adjacent groups of radially offset spring members defining each spring element of the plurality of spring elements are radially separated by a gap;

wherein each spring member of the group of radially offset spring members comprises a radial length different from the other spring members of the group of radially offset spring members;

a proof mass comprising a plurality of concentric rings operatively coupled to the plurality of spring elements, the plurality of concentric rings encircling the plurality of spring elements;

wherein each concentric ring comprises a radial length different than each other concentric ring of said plurality of concentric rings; and

a detection/excitation unit (i) coupled to the plurality of concentric rings and (ii) configured to sense an angular rate of the proof mass.

12. The gyroscope in accordance with claim 11 , wherein the at least one anchor defines a central opening configured to receive an accelerometer, and wherein the plurality of spring elements circumscribe the at least one anchor.

13. The gyroscope in accordance with claim 11 , wherein each concentric ring of the plurality of concentric rings resonates with a substantially similar amplitude when excited by the detection/excitation unit.

14. The gyroscope in accordance with claim 11 , wherein the detection/excitation unit comprises a plurality of electrodes circumferentially spaced about the plurality of concentric rings and configured to substantially encircle the plurality of concentric rings.

15. The gyroscope in accordance with claim 11 , wherein a number of concentric rings of the plurality of concentric rings is based on an operating mode of the gyroscope.

16. The gyroscope in accordance with claim 11 , wherein each concentric ring of the plurality of concentric rings includes a radial length greater than a radial length of an immediately adjacent radially inner concentric ring.

17. The gyroscope in accordance with claim 11 , wherein the plurality of concentric rings includes a first concentric ring having a first radial length and a second concentric ring having a second radial length, wherein the second radial length is greater than the first radial length.

18. The gyroscope in accordance with claim 17 , wherein the second concentric ring is positioned radially outward from the first concentric ring.

19. The gyroscope in accordance with claim 17 , wherein the second concentric ring is positioned proximate the excitation/detection unit, and the first concentric ring is positioned proximate the plurality of spring elements.