Resonator-assisted LC filter exhibiting high-pass and bandpass behavior

A system, comprising:

• radio-frequency (RF) input circuitry;
• RF output circuitry;
• and
• filter circuitry connected between the RF input circuitry and the RF output circuitry, wherein the filter circuitry comprises a filter circuit, the filter circuit comprising:
• a first inductor circuit connected in series with a second inductor circuit, the first inductor circuit and the second inductor circuit connected between an input port and an output port of the filter circuit;
• a first capacitor circuit connected in series with a second capacitor circuit, the first capacitor circuit and the second capacitor circuit connected in parallel with the first inductor circuit and the second inductor circuit between the input port and the output port of the filter circuit;
• a third inductor circuit connected between a reference node and a first node between the first inductor circuit and the second inductor circuit;
• a resonator circuit connected to a second node between the first capacitor circuit and the second capacitor circuit;
• and
• a fourth inductor circuit connected between the resonator circuit and the reference node.

A method of providing a filter circuit, the method comprising:

• providing a first inductor circuit connected in series with a second inductor circuit, the first inductor circuit and the second inductor circuit connected between an input port and an output port of the filter circuit;
• providing a first capacitor circuit connected in series with a second capacitor circuit, the first capacitor circuit and the second capacitor circuit connected in parallel with the first inductor circuit and the second inductor circuit between the input port and the output port of the filter circuit;
• providing a third inductor circuit connected between a reference node and a first node between the first inductor circuit and the second inductor circuit;
• providing a resonator circuit connected to a second node between the first capacitor circuit and the second capacitor circuit;
• and
• providing a fourth inductor circuit connected between the resonator circuit and the reference node.