Electrically-coupled mechanical band-pass filter

The method of filtering the frequency of an input oscillator on a substrate common with first and second masses, each mass being independently movable in at least one direction, and first and second spring elements, comprising:

• connecting one end of the first spring element to the first mass and the other end of the first spring element to the substrate;
• connecting one end of the second spring element to the first mass and the other end of the second spring element to the second mass, the second mass being connected only to the first mass;
• applying an input force to the first mass influenced by an input frequency provided by an input transducer, the input force leaving a component in the direction of motion of the first mass;
• and
• generating an output frequency influenced by the relative motion between the first and second masses by means of an output transducer associated with the first and second masses.

An electrically-coupled, mechanical band-pass filter fabricated on a substrate, comprising:

• first and second masses, each mass being independently movable in a direction of motion relative to the substrate and to the other mass;
• a first spring element having one end attached to the substrate and the other end attached to the first mass;
• a second spring element having one end attached to the first mass and the other end attached to the second mass;
• the first and second masses comprising a drive unit that determines the output frequency by the movement between the first and second masses;
• wherein the drive unit includes a capacitor associated with the movement between the first and second masses to determine the output frequency by variations in the capacitance of the capacitor;
• an input transducer for receiving an input frequency and applying an input force to the first mass, the input force having a force component in the direction of motion of the first mass, the input force being influenced by the input frequency;
• and
• and output transducer associated with the first and second masses for providing an output frequency influenced by the relative motion between the first and second masses.

An electrically-coupled, mechanical band-pass filter fabricated on a substrate, comprising:

• first and second masses, each mass being independently movable in a direction of motion relative to the substrate and to the other mass;
• a first spring element having one end attached to the substrate and the other end attached to the first mass;
• a second spring element having one end attached to the first mass and the other end attached to the second mass;
• the first and second masses comprising a comb drive with interleaved teeth, and wherein the movement between the first and second masses is determined by variations in capacitance in the comb drive;
• an input transducer for receiving and input frequency and applying an input force to the first mass, the input force having a force component in the direction of motion of the first mass, the input force being influenced by the input frequency;
• and
• an output transducer associated with the first and second masses for providing an output frequency influenced by the relative motion between the first and second masses.

An electrically-coupled, mechanical band-pass filter fabricated on a substrate, comprising:

• first and second masses, each mass being independently movable in a direction of motion relative to the substrate and to the other mass;
• a first spring element having one end attached to the substrate and the other end attached to the first mass;
• a second spring element having one end attached to the first mass and the other end attached to the second mass;
• an input transducer for receiving an input frequency and applying an input force to the first mass, the input force having a force component in the direction of motion of the first mass, the input force being influenced by the input frequency;
• and
• an output transducer associated with the first and second masses for providing an output frequency influenced by the relative motion between the first and second masses;
• wherein the input transducer comprises and oscillator for generating the input frequency, the oscillator being capacitively coupled to the first mass to move the first mass relative to the input frequency, and the output transducer comprises an electrical output element mechanically linked to the first mass and capacitively coupled to the second mass to generate the output frequency.

An electrically-coupled, mechanical band-pass filter fabricated on a substrate, comprising:

• first and second masses, each mass being independently movable in a direction of motion relative to the substrate and to the other mass;
• a first spring element having one end attached to the substrate and the other end attached to the first mass;
• a second spring element having one end attached to the first mass and the other end attached to the second mass;
• an output transducer for receiving an input frequency and applying an input force to the first mass, the input force having a force component in the direction of motion of the first mass, the input force being influenced by the input frequency;
• and
• in output transducer associated with the first and second masses for providing an output frequency influenced by the relative motion between the first and second masses;
• wherein the output frequency is twice the input frequency.

An electrically-coupled, mechanical band-pass filter fabricated on a substrate, comprising:

• first and second masses, each mass being independently movable in a direction of motion relative to the substrate and to the other mass;
• a first spring element having one end attached to the substrate and the other end attached to the first mass;
• a second spring element having one end attached to the first mass and the other end attached to the second mass;
• an input transducer for receiving an input frequency and applying an input force to the first mass, the input force having a force component in the direction of motion of the first mass, the input force being influenced by the input frequency;
• and
• an output transducer associated with the first and second masses for providing an output frequency influenced by the relative motion between the first and second masses;
• wherein the amplitude of the input frequency is scaled with the square root of the input frequency.

An electrically-coupled, mechanical band-pass filter fabricated on a substrate, comprising:

• first and second masses, each mass being independently movable in a direction of motion relative to the substrate and to the other mass;
• a first spring element having one end attached to the substrate and the other end attached to the first mass;
• a second spring element having one end attached to the first mass and the other end attached to the second mass;
• an input transducer for receiving an input frequency and applying an input force to the first mass, the input force having a force component in the direction of motion of the first mass, the input force being influenced by the input frequency;
• and
• an output transducer associated with the first and second masses for providing an output frequency influenced by the relative motion between the first and second masses;
• wherein the output frequency is a mathematical function of the mass of each of the first and second masses and the stiffness of the first and second spring elements;
• wherein the mass of the first mass is equal to the mass of the second mass.

The method of filtering the frequency of an input oscillator on a substrate common with first and second masses, each mass being independently movable in at least one direction, and first and second spring elements, comprising:

• connecting one end of the first spring element to the first mass and the other end of the first spring element to the substrate;
• connecting one end of the second spring element to the first mass and the other end of the second spring element to the second mass;
• applying an input force to the first mass influenced by an input frequency provided by an input transducer, the input force having a component in the direction of motion of the first mass;
• and
• generating an output frequency influenced by the relative motion between the first and second masses by means of an output transducer associated with the first and second masses;
• wherein a variable capacitor is associated with the movement between the first and second masses to determine the output frequency by variations in the capacitance of the capacitor, the first and second masses being disposed relative to each other to provide the variable capacitor.

The method of filtering the frequency of an oscillator on a substrate common with first and second masses, each mass being independently movable in at least one direction, and first and second spring elements, comprising:

• connecting one end of the first spring element to the first mass and the other end of the first spring element to the substrate;
• connecting one end of the second spring element to the first mass and the other end of the second spring element to the second mass;
• applying an input force to the first mass influenced by an input frequency provided by an input transducer, the input force having a component in the direction of motion of the first mass;
• generating an output frequency influenced by the relative motion between the first and second masses by means of an output transducer associated with the first and second masses;
• and
• mechanically linking the output transducer to the first mass and capacitively coupling the output transducer to the second mass to generate the output frequency.

The method of filtering the frequency of an oscillator on a substrate common with first and second masses, each mass being independently movable in at least one direction, and first and second spring elements, comprising:

• connecting one end of the first spring element to the first mass and the other end of the first spring element to the substrate;
• connecting one end of the second spring element to the first mass and the other end of the second spring element to the second mass;
• applying an input force to the first mass influenced by an input frequency provided by an input transducer, the input force having a component in the direction of motion of the first mass;
• generating an output frequency influenced by the relative motion between the first and second masses by means of an output transducer associated with the first and second masses;
• and
• scaling the amplitude of the input frequency with the square root of the input frequency.