A method of designing a filter to meet a set of specifications. The set of specifications is received, and a filter design is established. Analysis of the filter design is performed by: determining a part admittance matrix; determining a circuit admittance matrix based on the part admittance matrices; reducing interior nodes of the circuit admittance matrix; reducing algebraic nodes to transform the circuit admittance matrix into a Green's Function; evaluating the Green's Function to determine a circuit exterior node admittance matrix; and transforming the circuit exterior node admittance matrix to a circuit scattering matrix. The circuit scattering matrix is compared to the set of specifications to determine whether the filter design is satisfactory. When a determination is made that the design is not satisfactory, the filter design is modified and the process is repeated. When a determination is made that the design is satisfactory, a filter design description is output.

A duplexer includes a duplexer package having a transmit terminal, an antenna terminal, a receive terminal and at least one package ground terminal, a transmit filter disposed within the duplexer package, and a receive filter disposed within the duplexer package. Coupled first and second inductors, the first inductor connected to the transmit filter and the second inductor connected to the receive filter, are configured to cancel, at least in part, RF signal leakage between the transmit filter and the receive filter.

A single mode cavity filter having at least three rectangular or elliptical resonant cavities and at least four coupling irises aligned along a straight axis is disclosed. The filter is configured to be tuned by way of an electro-mechanical device. The filter has tuning rods located in each of the cavities and configured to change, in use, the tuning of the filter. The tuning rods are aligned along an arcuate axis and the electro-mechanical device is configured to move the tuning rods according to an identical depth by way of a single motor in the electro-mechanical device.

A MEMS resonator is described.

A method of manufacturing a ceramic resonator radio frequency filter includes placing one or more first coaxial resonators on a printed circuit board, and placing one or more second coaxial resonators over the one or more first coaxial resonators so that the coaxial resonators are arranged in a stacked configuration on the printed circuit board. The method also includes electrically connecting the one or more first coaxial resonators and second coaxial resonators to the printed circuit board.

A ceramic resonator radio frequency filter includes a printed circuit board, one or more first coaxial resonators disposed on the printed circuit board, and one or more second coaxial resonators disposed over the one or more first coaxial resonators so that the one or more first coaxial resonators and one or more second coaxial resonators are arranged in a stacked configuration. The one or more first coaxial resonators and second coaxial resonators electrically connected to the printed circuit board.

A resonator system is provided in which a combined overtone resonator device is excited with a two-dimensional mode of mechanical vibration in a cross sectional plane of a piezoelectric plate in response to an alternating voltage applied through an interdigitated electrode. The cross sectional plane extends along the width direction and the thickness direction, and the two-dimensional mode of mechanical vibration is a two-dimensional combined overtone mode of second and third order asymmetrical Lamb-wave overtones.

A method of designing a filter to meet a set of specifications. The set of specifications is received, and a filter design is established. Analysis of the filter design is performed by: determining a part admittance matrix; determining a circuit admittance matrix based on the part admittance matrices; reducing interior nodes of the circuit admittance matrix; reducing algebraic nodes to transform the circuit admittance matrix into a Green's Function; evaluating the Green's Function to determine a circuit exterior node admittance matrix; and transforming the circuit exterior node admittance matrix to a circuit scattering matrix. The circuit scattering matrix is compared to the set of specifications to determine whether the filter design is satisfactory. When a determination is made that the design is not satisfactory, the filter design is modified and the process is repeated. When a determination is made that the design is satisfactory, a filter design description is output.

A microelectromechanical resonator, including a support structure, a resonator element suspended to the support structure, the resonator element including a plurality of sub-elements, and an actuator for exciting the resonator element into a resonance mode. The sub-elements are dimensioned such that they are dividable in one direction into one or more fundamental elements having an aspect ratio different from 1 so that each of the fundamental elements supports a fundamental resonance mode, which together define a compound resonance mode of the sub-element. The sub-elements are further coupled to each other by connection elements and positioned with respect to each other such that the fundamental elements are in a rectangular array configuration, wherein each fundamental element occupies a single array position, and at least one array position of the array configuration is free from fundamental elements.

A microelectromechanical resonant switch (resoswitch) converts received radio frequency (RF) energy into a clock output. The resoswitch first accepts incoming amplitude- or frequency-shift keyed clock-modulated RF energy at a carrier frequency, filters it, provides power gain via resonant impact switching, and finally envelop detects impact impulses to demodulate and recover the carrier clock waveform. The resulting output derives from the clock signal that originally modulated the RF carrier, resulting in a local clock that shares its originator's accuracy. A bare push-pull 1-kHz RF-powered mechanical clock generator driving an on-chip inverter gate capacitance of 5 fF can potentially operate with only 5 pW of battery power, 200,000 times lower than a typical real-time clock. Using an off-chip inverter with 17.5 pF of effective capacitance, a 1-kHz push-pull resonator would consume 17.5 nW.