Embodiments of the present disclosure relate generally to MEMS resonators. An exemplary MEMS resonator comprises a resonator beam having a length and a width. The length can be an integer multiple of the width. The integer multiple can be at least two. The resonator is configured to resonate at a frequency upon application of an input signal. The TCF of this resonator can be made close to zero, thus providing a temperature stable resonator. The exemplary MEMS resonator thereby has the advantages of high Q, low polarization voltage, low motional impedance and temperature stability of low frequency resonators while being able resonate at high frequencies of 30 MHz to 30 GHz.

The present disclosure provides a frequency-converting super regenerative transceiver with a frequency mixer coupled to a resonator and a feedback element having a controllable gain. The frequency-converting super-regenerative transceiver utilizes the frequency mixer to shift the incoming frequencies, based on a controlled oscillator, to match the frequency of operation of the super-regenerative transceiver. The frequency-converting super-regenerative transceivers described herein permit signal data capture over a broad range of frequencies and for a range of communication protocols. The frequency-converting super-regenerative transceivers described herein are tunable, consume very little power for operation and maintenance, and permit long term operation even when powered by very small power sources (e.g., coin batteries).

The present disclosure describes a micromechanical resonator comprising a resonator element (40) having a length (l.sub.1) and a width (w.sub.1) that is perpendicular to the length. The resonator element has a length-to-width aspect ratio in a range of 1.8 to 2.2. The resonator element is suspended to a support structure with two or more anchors (41, 43). Each of the two or more anchors is attached to a first location or a second location. The first location is at a shorter side (42) of the resonator element. The first location divides the width (w.sub.1) of the resonator element into a larger portion (w.sub.3) and a smaller portion (w.sub.2) such that a ratio between said smaller portion (w.sub.2) and the whole width (w.sub.1) is in a range of 0.10 to 0.28. The second location is at a longer side (44). The second location divides the length (l.sub.1) of the resonator element into a larger portion (l.sub.3) and a smaller portion (l.sub.2) such that a ratio between said smaller portion (l.sub.2) and the whole length (l.sub.1) is in a range of 0.36 to 0.48.

The present disclosure describes micromechanical resonator, a resonator element for the resonator, and a method for trimming the resonator. The resonator comprises a resonator element having a length, a width, and a thickness, where the length and the width define a plane of the resonator element. The resonator element comprises at least two regions (52, 53) in the plane of the resonator element, wherein the at least two regions have different thicknesses.

Embodiments of a tunable bandpass microelectromechanical (MEMS) filter are described. In one embodiment, such a filter includes a pair of arch beam microresonators, and a pair of voltage sources electrically coupled to apply a pair of adjustable voltage biases across respective ones of the pair of arch beam microresonators. The pair of voltage sources offer independent tuning of the bandwidth of the filter. Based on the structure and arrangement of the filter, it can be tunable by 125% or more by adjustment of the adjustable voltage bias. The filter also has a relatively low bandwidth distortion, can exhibit less than 2.5 dB passband ripple, and can exhibit sideband rejection in the range of at least 26 dB.

A piezoelectric micromachined ultrasonic transducer (PMUT) device includes a substrate having an opening therethrough and a membrane attached to the substrate over the opening. A portion of the membrane that overlies the opening is divided into a plurality of cantilevers that are mechanically coupled so that the cantilevers resonate at a common frequency.

Switchable and/or tunable filters, methods of manufacture and design structures are disclosed herein. The method of forming the filters includes forming at least one piezoelectric filter structure comprising a plurality of electrodes formed to be in contact with at least one piezoelectric substrate. The method further includes forming a micro-electro-mechanical structure (MEMS) comprising a MEMS beam in which, upon actuation, the MEMS beam will turn on the at least one piezoelectric filter structure by interleaving electrodes in contact with the piezoelectric substrate or sandwiching the at least one piezoelectric substrate between the electrodes.

A micro-electromechanical system (MEMS) frequency divider apparatus having one or more MEMS resonators on a substrate is presented. A first oscillator frequency, as an approximate multiple of the parametric oscillation frequency, is capacitively coupled from a very closely-spaced electrode (e.g., 40 nm) to a resonant structure of the first oscillator, thus inducing mechanical oscillation. This mechanical oscillation can be coupled through additional MEMS resonators on the substrate. The mechanical resonance is then converted, in at least one of the MEMS resonators, by capacitive coupling back to an electrical signal which is a division of the first oscillation frequency. Output may be generated as a single ended output, or in response to a differential signal between two output electrodes.

A MEMS resonator includes a main substrate forming a receiving part at a center of the main substrate; a mass body having one end part and a center part elastically supported by both sides of the main substrate; a driving unit configured at one side of the receiving part on the main substrate and producing a driving force by a voltage applied to both sides of the one end part of the mass body to move a position of the mass body with respect to the main substrate; and a tuning part including a pair of tuning units provided symmetrically with respect to the second elastic member, and having a beam member changing a length of the second elastic member by an actuating operation of each tuning unit to control a frequency.

Switchable and/or tunable filters, methods of manufacture and design structures are disclosed herein. The method of forming the filters includes forming at least one piezoelectric filter structure comprising a plurality of electrodes formed to be in contact with at least one piezoelectric substrate. The method further includes forming a micro-electro-mechanical structure (MEMS) comprising a MEMS beam in which, upon actuation, the MEMS beam will turn on the at least one piezoelectric filter structure by interleaving electrodes in contact with the piezoelectric substrate or sandwiching the at least one piezoelectric substrate between the electrodes.