Method of optimizing input impedance of surface acoustic wave filter
View Patent ↗Methods to design band-pass acoustic wave microwave filters are disclosed. A performance metric related to an input impedance of a baseline filter design is calculated, the baseline filter design including a plurality of series surface acoustic wave resonators and a plurality of shunt surface acoustic wave resonators, each surface acoustic wave resonator having a respective resonant frequency. One or more alternative filter designs is established, each alternative filter design derived from the baseline filter design by reordering the resonant frequencies of two or more of the plurality of series surface acoustic wave resonators and/or two or more of the plurality of shunt surface acoustic wave resonators. A respective performance metric related to an input impedance of each alternative filter designs is calculated. A final filter design is selected from among the baseline filter design and the alternative filter designs based on the respective performance metrics.
1. A method for designing a band-pass acoustic wave microwave filter, comprising the step of:
calculating a performance metric related to an input impedance of a baseline filter design, the baseline filter design including a plurality of series surface acoustic wave resonators and a plurality of shunt surface acoustic wave resonators, each surface acoustic wave resonator having a respective resonant frequency;
establishing one or more alternative filter designs, each of the one or more alternative filter designs derived from the baseline filter design by reordering the resonant frequencies of two or more of the plurality of series surface acoustic wave resonators and/or two or more of the plurality of shunt surface acoustic wave resonators;
calculating a respective performance metric related to an input impedance of each of the one or more alternative filter designs over the pass band; and
selecting a final filter design from among the baseline filter design and the one or more alternative filter designs based on the performance metric of the baseline filter design and the respective performance metrics of the one or more alternative filter designs.
2. The method of claim 1 , wherein
the performance metric is a maximum reflection coefficient over the pass band, and
selecting the final filter design comprises selecting, from the baseline filter design and the one or more alternative filter designs, a design with the lowest maximum reflection coefficient over the pass band.
3. The method of claim 1 , wherein
the performance metric is a variation of the input impedance over the pass band, and
selecting the final filter design comprises selecting, from the baseline filter design and the one or more alternative filter designs, a design with the smallest variation of the input impedance over the pass band.
4. The method of claim 1 , wherein
the performance metric is a difference between input impedances at the two edges of the pass band, and
selecting the final filter design comprises selecting, from the baseline filter design and the one or more alternative filter designs, a design with the smallest difference between input impedances at the two edges of the pass band.
5. The method of claim 1 , wherein establishing alternative filter designs and calculating respective performance metrics are repeated for all possible reorderings of the resonant frequencies of the plurality of series surface acoustic wave resonators and the plurality of shunt surface acoustic wave resonators.
6. The method of claim 1 , wherein the method of establishing and analyzing alternative filter designs are repeated for a predetermined number of randomly-selected reorderings of the resonant frequencies of the plurality of series surface acoustic wave resonators and the plurality of shunt surface acoustic wave resonators.
7. The method of claim 1 , wherein establishing and analyzing alternative filter designs comprises:
starting with the baseline filter design, establishing a new filter design by interchanging the resonant frequencies of two series resonators from the plurality of series surface acoustic wave resonators or two shunt resonators from the plurality of shunt surface acoustic wave resonators;
calculating the performance metric for the new filter design;
determining whether or not the performance metric of the new filter design is an improvement over the performance metric of the baseline filter design; and
when the performance metric of the new filter design is an improvement over the performance metric of the baseline filter design, defining the new filter design to be the baseline filter design, or
when performance metric of the new filter design is not an improvement over the performance metric of the baseline filter design, discarding the new filter design and retaining the baseline filter design.
8. The method of claim 7 , wherein establishing and analyzing alternative filter designs further comprising:
determining if the new filter design satisfies second design criteria in addition to the first design criteria; and
when the new filter design satisfies the second design criteria, selecting the new filter design as the final design, or
when the new filter design does not satisfy the second design criteria, repeating the steps of establishing and analyzing filter designs.
9. The method of claim 8 , wherein
the performance metric is a maximum reflection coefficient over the pass band, and
the second design criteria is the maximum reflection coefficient over the pass band does not exceed a predetermined value.
10. The method of claim 8 , wherein
the performance metric is a variation of the input impedance over the pass band, and
the second design criteria is that the variation does not exceed a predetermined value.
11. The method of claim 8 , wherein
the performance metric is a difference between input impedances at the two edges of the pass band, and
the second design criteria is that the difference between the reflection coefficient of the two edges of the pass band does not exceed a predetermined value.
12. A method of designing a band-pass filter, comprising:
calculating a performance metric related to an input impedance of a baseline filter design, the baseline filter design including a plurality of surface acoustic wave resonators, each surface acoustic wave resonator having a respective resonant frequency, the plurality of surface acoustic wave resonators organized by resonant frequency into two or more groups;
establishing one or more alternative filter designs, each of the one or more alternative filter designs derived from the baseline filter design by reordering the resonant frequencies of two or more of the plurality surface acoustic wave resonators within at least one of the two or more groups;
calculating a respective performance metric related to an input impedance over a pass band of each of the baseline filter designs and the one or more alternative filter designs; and
selecting a final filter design from among the baseline filter design and the one or more alternative filter designs based on the performance metric of the baseline filter design and the respective performance metrics of the one or more alternative filter designs.
13. The method of claim 12 , wherein
the two or more groups include a first group and a second group, and
establishing one or more alternative filter designs comprises reordering the resonant frequencies of two or more acoustic wave resonators within the first group and/or reordering the resonant frequencies of two or more surface acoustic wave resonators within the second group.
14. The method of claim 13 , wherein frequency spans of the resonant frequencies of surface acoustic wave resonators within each of the first group and the second group are both less than or equal to one-half of a frequency difference between average frequencies of the first group and the second group.
15. The method of claim 13 , where a frequency difference between average frequencies of the first group and the second group is greater than or equal to one-half of a bandwidth of the band-pass filter.
16. The method of claim 13 , wherein
the two or more groups include a third group, and
establishing one or more alternative filter designs comprises reordering the resonant frequencies of two or more surface acoustic wave resonators within the third group.
17. The method of claim 12 , wherein
the performance metric is a maximum reflection coefficient over the pass band, and
selecting the final filter design comprises selecting, from the baseline filter design and the one or more alternative filter designs, a design with the lowest maximum reflection coefficient over the pass band.
18. The method of claim 12 , wherein
the performance metric is a diameter of a minimum-size circle circumscribing the input impedance over the pass band plotted on a complex impedance plane, and
selecting the final filter design comprises selecting, from the baseline filter design and the one or more alternative filter designs, a design with the smallest diameter of a minimum-size circle circumscribing the input impedance over the pass band plotted on the complex impedance plane.
19. The method of claim 12 , wherein
the performance metric is a distance between input impedances at the edges of the pass band plotted on a complex impedance plane, and
selecting the final filter design comprises selecting, from the baseline filter design and the one or more alternative filter designs, a design with the smallest distance between input impedance at the edges of the pass band plotted on the complex impedance plane.
20. The method of claim 12 , wherein establishing alternative filter designs and calculating respective performance metrics are repeated for all permitted reorderings of the resonant frequencies of the plurality of surface acoustic wave resonators.
21. The method of claim 12 , wherein establishing and analyzing alternative filter designs are repeated for a predetermined number of randomly-selected permitted reorderings of the resonant frequencies of the plurality of surface acoustic wave resonators.
22. The method of claim 12 , wherein establishing and analyzing alternative filter designs further comprises:
starting with the baseline filter design, establishing a new filter design by interchanging the resonant frequencies of two resonators from the same group;
calculating the performance metric for the new filter design;
determining whether or not the performance metric of the new filter design is an improvement over the performance metric of the baseline filter design; and
when the performance metric of the new filter design is an improvement over the performance metric of the baseline filter design, defining the new filter design to be the baseline filter design, or
when the performance metric of the new filter design is not an improvement over the performance metric of the baseline filter design, discarding the new filter design and retaining the baseline filter design.
23. The method of claim 22 , further comprising:
determining if the new filter design satisfies second design criteria in addition to the first design criteria; and
when the new filter design satisfies the second design criteria, selecting the new filter design as the final design, or
when the new filter design does not satisfy the second design criteria, repeating the method of claim 12 .
24. The method of claim 23 , wherein
the performance metric is a maximum reflection coefficient over the pass band, and
the second design criteria is the maximum reflection coefficient over the pass band does not exceed a predetermined value.
25. The method of claim 23 , wherein
the performance metric is a diameter of a minimum-size circle circumscribing the input impedance over the pass band plotted on a complex impedance plane, and
the second design criteria is the diameter of the minimum-size circle does not exceed a predetermined value.
26. The method of claim 23 , wherein
the performance metric is a distance between input impedance at the edges of the pass band plotted on a complex impedance plane, and
the second design criteria is the distance between the reflection coefficient of the edges of the pass band does not exceed a predetermined value.