Optimized piezoelectric resonator-based networks

A piezoelectric resonator-based pi network comprising:

• a first pair of resonators sharing a first electrode for connection to other circuitry;
• a second pair of resonators sharing a second electrode for connection to other circuitry;
• and
• a series connected pair of resonators comprising a resonator from each of the first and second pairs and sharing a third electrode, the series connected pair being the only connections to the third electrode.

A piezoelectric resonator-based L network comprising:

• a first resonator including a first electrode for connection to other circuitry;
• a shunt element connected to the first resonator at the first electrode;
• and
• a second resonator series connected to the first resonator at a second electrode,
• the second resonator and the first resonator being the only connections to the second electrode.

A piezoelectric resonator comprising:

• a layer of piezoelectric material;
• a pair of electrodes mounted on one surface of the piezoelectric material;
• and
• a third electrode mounted on an opposing surface of the piezoelectric material,
• each electrode of the pair mounted in overlapping relation to the third electrode to create two series connected resonators that are the only connections to the third electrode.