A radio-frequency filter (10) includes a series arm resonator (s1) connected between input/output terminals (11m and 11n) and parallel arm circuits (110 and 120) connected to a node (x1) and a ground. The parallel arm circuit (110) includes a parallel arm resonator (p1) and a variable frequency circuit (110A) connected in series with each other between the node (x1) and a ground. The variable frequency circuit (110A) changes the resonant frequency of the parallel arm circuit (110). The variable frequency circuit (110A) is connected in series with the parallel arm resonator (p1) and includes a capacitor (C1) and a switch (SW1) connected in parallel with each other. The parallel arm circuit (120) includes a capacitor (C2) and a switch (SW2) connected in series with each other between the node (x1) and a ground.

A method for designing a narrowband acoustic wave microwave filter including: generating a modeled filter circuit design having circuit elements including an acoustic resonant element defined by an electrical circuit model that includes a parallel static branch, a parallel motional branch, and one or both of a parallel Bragg Band branch that models an upper Bragg Band discontinuity and a parallel bulk mode function that models an acoustic bulk mode loss; and generating a final circuit design. Generating the final circuit design includes optimizing the modeled filter circuit design to generate an optimized filter circuit design; comparing a frequency response of the optimized filter circuit design to requirements; selecting the optimized filter circuit design for construction into the actual acoustic microwave filter based on the comparison; and transforming the optimized filter circuit design to a design description file for input to a construction process.

A filter with reduced plate modes is specified. Thereto, the filter has a transducer system (WS) with two or more electroacoustic split transducers (TW) connected in parallel that replace a conventional transducer (W). The static capacity of the transducer system corresponds to the sum of the static capacities of the split transducers. Each split transducer has a lower electroacoustic coupling of a desired mode than the transducer system. The transducer system has an electroacoustic coupling of a plate mode corresponding to the electroacoustic coupling of the plate mode of a split transducer.

A filter with reduced plate modes is specified. Thereto, the filter has a transducer system (WS) with two or more electroacoustic split transducers (TW) connected in parallel that replace a conventional transducer (W). The static capacity of the transducer system corresponds to the sum of the static capacities of the split transducers. Each split transducer has a lower electroacoustic coupling of a desired mode than the transducer system. The transducer system has an electroacoustic coupling of a plate mode corresponding to the electroacoustic coupling of the plate mode of a split transducer.

Embodiments of multi-frequency excitation are described. In various embodiments, a natural frequency of a device may be determined. In turn, a first voltage amplitude and first fixed frequency of a first source of excitation can be selected for the device based on the natural frequency. Additionally, a second voltage amplitude of a second source of excitation can be selected for the device, and the first and second sources of excitation can be applied to the device. After applying the first and second sources of excitation, a frequency of the second source of excitation can be swept. Using the methods of multi-frequency excitation described herein, new operating frequencies, operating frequency ranges, resonance frequencies, resonance frequency ranges, and/or resonance responses can be achieved for devices and systems.

A ladder filter includes serial arm resonators disposed along a serial arm and parallel arm resonators disposed along corresponding parallel arms. Ladder circuit units are disposed along a path from an input terminal, which is a first end, to an output terminal, which is a second end. Each of the ladder circuit units includes a single serial arm resonator and a single parallel arm resonator. The ladder circuit units are mirror-connected to one another. The impedance at the first end is different from the impedance at the second end.

A ladder filter includes serial arm resonators disposed along a serial arm and parallel arm resonators disposed along corresponding parallel arms. Ladder circuit units are disposed along a path from an input terminal, which is a first end, to an output terminal, which is a second end. Each of the ladder circuit units includes a single serial arm resonator and a single parallel arm resonator. The ladder circuit units are mirror-connected to one another. The impedance at the first end is different from the impedance at the second end.

A zero-output coupled resonator filter (ZO-CRF) and related radio frequency (RF) filter circuit are provided. In examples discussed herein, the ZO-CRF can be configured to function as a shunt resonator(s) in an RF filter circuit (e.g., a ladder filter circuit). The ZO-CRF includes a first resonator and a second resonator that are coupled to each other via a coupling layer. The first resonator and the second resonator receive a first voltage and a second voltage, respectively. The first voltage and the second voltage can be configured in a number of ways to cause the ZO-CRF to resonate at different resonance frequencies. As such, it may be possible to modify resonance frequency of the ZO-CRF in an RF filter circuit based on signal connection. As a result, it may be possible to reduce total inductance of the RF filter circuit, thus helping to reduce footprint of the RF filter circuit.

A zero-output coupled resonator filter (ZO-CRF) and related radio frequency (RF) filter circuit are provided. In examples discussed herein, the ZO-CRF can be configured to function as a shunt resonator(s) in an RF filter circuit (e.g., a ladder filter circuit). The ZO-CRF includes a first resonator and a second resonator that are coupled to each other via a coupling layer. The first resonator and the second resonator receive a first voltage and a second voltage, respectively. The first voltage and the second voltage can be configured in a number of ways to cause the ZO-CRF to resonate at different resonance frequencies. As such, it may be possible to modify resonance frequency of the ZO-CRF in an RF filter circuit based on signal connection. As a result, it may be possible to reduce total inductance of the RF filter circuit, thus helping to reduce footprint of the RF filter circuit.

Active feedback is used with two electrodes of a four-electrode capacitive-gap transduced wine-glass disk resonator to enable boosting of an intrinsic resonator Q and to allow independent control of insertion loss across the two other electrodes. Two such Q-boosted resonators configured as parallel micromechanical filters may achieve a tiny 0.001% bandwidth passband centered around 61 MHz with only 2.7 dB of insertion loss, boosting the intrinsic resonator Q from 57,000, to an active Q of 670,000. The split capacitive coupling electrode design removes amplifier feedback from the signal path, allowing independent control of input-output coupling, Q, and frequency. Controllable resonator Q allows creation of narrow channel-select filters with insertion losses lower than otherwise achievable, and allows maximizing the dynamic range of a communication front-end without the need for a variable gain low noise amplifier.