Systems and methods for use in playing biotic games having a biologically active material as a component. Various games that provide for one or more human players to interact with biologically active materials are disclosed. The game apparatus includes a replaceable cartridge having a chamber in which a biologically active component such as a single-celled organism or a biologically active compound is contained. A stimulus controller accepts instructions from a human user and provides a stimulus to the biologically active component. A response receiver accepts a signal indicative of a response of the biologically active component. A display is provided to display to the user information indicative of the response of the biologically active component, and a game score. A computer-based game controller includes a set of pre-defined rules of play that define a game and that comprise pre-defined rules of scoring for the game.

Type composing apparatus is disclosed as including means for representing its binary code a series of characters, means for generating a relative width value for each character, means for representing a succession of point size factors, one for each character, and means for multiplying a relative width value assigned to each character by a point size factor for that character. The means for multiplying associated pairs of relative width values and point size factors is disclosed as comprising a memory having stored therein products of relative width values and point size factors. Means are shown for addressing and extracting from the memory an adjusted width value and point size factor. The means for generating a relative width value for each character is depicted as including a read-only integrated circuit memory having permanently stored therein at mutually exclusive addresses a relative width value for each of the characters. One embodiment of a photocomposing machine is disclosed.

A data transmission apparatus disposed within two network layers operative at different data rates is provided. The data transmission apparatus is coupled to a clock generator which provides a reference clock for a lower network layer and is coupled to a frequency synthesizer with an integer division factor that generates a divided clock for an upper network layer according to the reference clock and the integer division factor. The data transmission apparatus includes a first processing circuit and a second processing circuit. The first processing circuit corresponding to the upper network layer receives and transmits data by using the divided clock as its operation frequency. The second processing circuit corresponding to the lower network layer receives and transmits data from the first processing circuit by using the reference clock as an operation frequency for encoding data. The divided clock is generated from the frequency synthesizer with the integer division factor.

In this VSWR measurement circuit, a power measurement unit measures the power level of a reflected signal which is included in a feedback signal which has been extracted at a second CPL which has been deployed at a position connecting to an antenna end via a cable. To this end, the VSWR measurement circuit is provided with a main signal component removal circuit, wherein the main signal which has been extracted from the prestage of a digital pre-distortion circuit, and a signal in which the feedback signal that had been extracted at the second CPL has been converted to a digital signal at an A/D CONV, are provided as inputs, the main signal component included in the feedback signal is removed, and only the reflected signal is extracted so as to be output to the power measurement unit.

A transport stream (TS) generating apparatus, a transmitting apparatus, a receiving apparatus, a digital broadcast system having the above, and a method thereof are provided. The digital broadcast system includes a transport stream (TS) generating apparatus which generates a multi transport stream (TS) by multiplexing a normal stream and a turbo stream having a variable coding rate, a transmitting apparatus which re-constructs the multi TS by processing the turbo stream, and transmits the re-constructed multi TS, and a receiving apparatus which receives the re-constructed multi TS, and decodes the normal stream and the turbo stream respectively, to recover normal data and turbo data. Accordingly, a multi TS, which includes normal stream and a turbo stream of various coding rates, can be transmitted and received efficiently.

A display device includes: a pixel area comprising pixels in rows and columns; main power lines at a first side of the pixel area and a second side of the pixel area facing the first side; first sub-power lines coupled to a first main power line of the main power lines formed at the first side and extending into the pixel area in a column direction; and second sub-power lines coupled to a second main power line of the main power lines formed at the second side and extending into the pixel area in the column direction, wherein the first sub-power lines and the second sub-power lines extend in different columns of pixels, and wherein a column of pixels of the pixels are alternatingly coupled to a neighboring sub-power line of the first sub-power lines and a neighboring sub-power line of the second sub-power lines.

A balun including a first conductor winding, a first inductor, a second inductor, a third inductor, and a fourth inductor. The first conductor winding has a figure eight shape including a first loop and a second loop. The first inductor and the second inductor substantially surround the first loop. The third inductor and the fourth inductor substantially surround the second loop.

A SAW filter circuit having improved ESD resistance is specified, in which a series interconnection composed of SAW resonators is interconnected between a first signal port and a dual-mode SAW filter port. The static capacitance of the series interconnection is at most four times the static capacitance of the dual-mode SAW filter transducers interconnected therewith.

A woven fabric for a low profile implantable medical device includes a plurality of textile strands of a composite yarn aligned in a first direction interlaced with a plurality of textile strands of the composite yarn aligned in a second direction. The composite yarn includes a combination of a first material and a second material. The textile strands have a size between about 10 denier to about 20 denier. The first material has at least one characteristic different from the second material and the second material reacts favorably with blood when placed within an artery.

An implantable graft device is disclosed. The device comprises a graft body forming a lumen defining a longitudinal axis and comprising proximal and distal ends. The graft body comprises a woven fabric having warp yarns aligned in a first direction and weft yarns aligned in a second direction. The weft yarns are woven with the warp yarns. A portion of the warp yarns along the longitudinal axis of the graft body are not interwoven with the weft yarns, defining floating yarns having loops aligned in one of the first direction and the second direction. The device further comprises an expandable stent disposed circumferentially about the longitudinal axis and received through the loops of the floating yarns to attach the stent to the graft body.

A fabric for forming a fibrous paper web having an embossed surface is provided that includes at least longitudinal and transverse threads interwoven with one another in a weave repeat defining a machine side and a paper side. Some of the longitudinal threads form embossing threads having projecting paper side floats on the paper side of the fabric passing over more than one transverse thread. The fabric includes at least a first woven fabric layer forming the paper side on its outside and having longitudinal and transverse first threads interwoven with one another and a second woven fabric layer forming the machine side on its outside and having longitudinal and transverse second threads interwoven with one another. At least some of the longitudinal second threads form embossing threads, which penetrate the first woven fabric layer for forming the paper side floats and connect the two woven fabric layers.

An implantable graft device having treated yarn is disclosed. The device comprises a graft body forming a lumen defining a longitudinal axis and comprising proximal and distal ends. The graft body comprises a woven fabric having warp yarns aligned in a first direction and a weft yarns aligned in a second direction. At least one of the weft yarns and the warp yarns has an agent applied thereto defining treated yarns of the graft body.

A weaving machine for producing a woven fabric has a shedding device to form a loom shed of warp material, a weft insertion device for inserting a preferably tape-shaped or band-shaped weft material into the loom shed, a drawing-off device for drawing off the finished fabric in a drawing-off direction, fabric movement device for moving the fabric back and forth in the warp direction to bring the last inserted weft material into contact with the binding point or fabric edge. A shed limiter device limits the opening of the loom shed from above and below the warp, and is movable back and forth in the warp direction. The shed limiter device only loosely bounds the fabric and essentially without actively clamping or pinching or contacting the fabric and/or the last inserted weft material, at least while moving in the direction opposite the drawing-off direction.

Disclosed herein is a battery pack including a battery cell array including two or more battery cells, each of which has an electrode assembly of a cathode/separator/anode structure disposed in a battery case together with an electrolyte in a sealed state, arranged in a lateral direction, a protection circuit module (PCM) connected to an upper end of the battery cell array to control an operation of the battery pack, a pack case in which the battery cell array and the protection circuit module are disposed, and a plate-shaped reinforcing member mounted between the pack case and the battery cell array to increase mechanical strength of the pack case.

A battery voltage detector includes, but is not limited to: a voltage detection circuit; and a voltage processor. The voltage detection circuit includes, but is not limited to: a capacitor configured to be charged by a battery cell; a pair of output terminals; an output switch; and a voltage processor. While the capacitor is charged, the output switch is configured to be off-state and insulate the capacitor from the pair of the output terminals. After the capacitor is charged, the output switch is configured to be on-state and connect the capacitor to the pair of the output terminals. The voltage processor is configured to obtain, as a cell voltage, a voltage between the output terminals of the voltage detection circuit while the output switch is on-state. A high-potential output terminal of the pair of the output terminals is connected to a power line via a pull-up resistor.

Wind turbine systems and methods are provided. An exemplary system includes a wind driven doubly fed induction generator having a rotor and a stator, the stator providing AC power to a stator bus. The system further includes a power converter coupled to the rotor of the doubly fed induction generator, the power converter providing an output to a line bus, and a transformer coupled to the stator bus. The system further includes a solid-state switch coupled between the stator bus and the transformer.

An aerial cable car system including transportation operating equipment for passenger and/or freight transport, wherein electrical consumers are connected for operation thereof to a rechargeable electrical energy store of a transportation operating equipment by a respective power circuit. The transportation operating equipment includes an operating control device connected to measuring devices for dynamically capturing measurement values based on available quantity of energy in the energy store. The operating control device includes a storage module having at least one stored measurement control value and an associated control parameter. The operating control device includes a filter module comparing a captured measurement value to the at least one stored measurement control value and reading out corresponding stored control parameter, based on which power circuits can be selectively coupled or decoupled to the energy store by the operating control device. Electrical consumers in transportation operating equipment can be fed without interruption by the energy store, even during travel.

A water heater system comprises a water tank, a burner plenum, a flue, a blower, a combustion air passageway, a dilution air passageway, an upstream manifold, and a downstream manifold. The upstream manifold divides air from the blower so that some air flows through the combustion air passageway to the burner plenum and some air flows through the dilution air passageway to the downstream manifold. The downstream manifold combines the air from the dilution air passageway with combustion products from the flue.

A knock down spring whip assembly including a hollow housing which serves as a handgrip, and also stores a spring subassembly formed of lengths of helically wound springs of sequentially increasingly larger diameter size to move between a telescoped position within the housing and an extended whipping position projecting from one end of the housing with the springs wedgingly engaging each other in an end to end arrangement. A removable closure unit is provided for plugging the other end of the housing to define a storage compartment. The closure unit includes an integral magnet for retaining the spring subassembly in the telescoped position, where the closure unit can be replaced with other types of closure units. The housing includes a tapered end and an annular constriction for providing both a wedging engagement of the projecting springs as well as a positive locking action. Weighted ball bearings can be included within one of the springs for spiral rotation therethrough to provide an additional striking force. The striking spring can be replaced by a solid rod for an increased striking force. Preferably, the tip portion at the striking end is also removable to permit the spring whip assembly to be disassembled into its component parts.

A knock down spring whip assembly including a hollow housing which serves as a handgrip, and also stores a spring subassembly formed of lengths of helically wound springs of sequentially increasingly larger diameter size to move between a telescoped position within the housing and an extended whipping position projecting from one end of the housing with the springs wedgingly engaging each other in an end to end arrangement. A removable closure unit is provided for plugging the other end of the housing to define a storage compartment. The closure unit includes an integral magnet for retaining the spring subassembly in the telescoped position, where the closure unit can be replaced with other types of closure units. The housing includes a tapered end and an annular constriction for providing both a wedging engagement of the projecting springs as well as a positive locking action. Weighted ball bearings can be included within one of the springs for spiral rotation therethrough to provide an additional striking force. The striking spring can be replaced by a solid rod for an increased striking force. Preferably, the tip portion at the striking end is also removable to permit the spring whip assembly to be disassembled into its component parts.

A table saw includes a base assembly having a base structure and side walls, a table top assembly top surface, and an undercarriage assembly including a motor. The undercarriage assembly is configured to adjust the vertical and angular position of a blade relative to the table top assembly, and includes an undercarriage frame and cover together defining a narrow housing configured and sized to enclose substantially all of an installed blade under the top surface. The housing has an upper pivot for adjusting the angular position of the blade and is configured to have the motor slidably mounted therein to adjust the vertical position of the blade. A removable port structure attached to a bottom portion of the undercarriage assembly has an outlet port at an outer end that is configured to be connected to a vacuum source.

A planter row unit is disclosed having an active downforce control system for the closing wheels. This separate control of the downforce pressure for the closing wheels is provided from the row unit downforce control. A single operator input is used to set a desired downforce for all row units. The control system then operates to produce the desired downforce. Alternatively, the control system may display a downforce load to the operator who then manually makes adjustments as desired.

A metering system for a seeding machine is provided. The metering system includes selectively powered metering sections operable to individually allow or restrict seed dispensation. A damper arrangement is also provided so that pneumatic conveying of the particulate within the machine is consistently maintained when particulate flow is varied between the metering sections.

A ripping mechanism for a vehicle has a support frame. A ripping member has an engagement head that is configured for plowing a groove in the ground. The ripping member is preferably positionable in a selected working position and working orientation by adjustment of the support frame. The ripping member is preferably movable relative to the support frame to cause reciprocating movement of the engagement head at least partially longitudinally. A tilt adjustment cylinder is preferably operable to orient the ripping member in the selected orientation. A vibrator mechanism is preferably operatively connected to the ripping member and activatable to cause reciprocating movement of the engagement head at least partially longitudinally.

A drive system for a mobile machine is disclosed. The drive system may have a travel speed sensor, at least one traction device speed sensor, and a controller in communication with the travel speed sensor and the at least one traction device speed sensor. The controller may be configured to determine a slip value associated with a traction device of the mobile machine based on signals generated by the travel speed sensor and the at least one traction device speed sensor, and determine a torque output value of the mobile machine. The control may also be configured to make a comparison of the slip value and the torque output value with a pull-slip curve stored in memory, and selectively update the pull-slip curve based on the comparison.

An organic light emitting diode (OLED) display a includes: a substrate; an organic light emitting element on the substrate and including a first electrode, a light emission layer, and a second electrode; and an encapsulation layer on the substrate while covering the organic light emitting element. The encapsulation layer includes an organic layer and an inorganic layer. A mixed area, where organic materials forming the organic layer and inorganic materials forming the inorganic layer co-exist along a plane direction of the encapsulation layer, is formed at the boundary between the organic layer and the inorganic layer.

A display device comprising TFT elements having satisfactory characteristics and being easy to assemble. In the display device, a pixel emitting red light comprises a red color filter. The red color filter forms a light shielding film for the TFT elements in a driver circuit portion or in a pixel portion.

A non-linear element (e.g., a diode) with small reverse saturation current is provided. A non-linear element includes a first electrode provided over a substrate, an oxide semiconductor film provided on and in contact with the first electrode, a second electrode provided on and in contact with the oxide semiconductor film, a gate insulating film covering the first electrode, the oxide semiconductor film, and the second electrode, and a third electrode provided in contact with the gate insulating film and adjacent to a side surface of the oxide semiconductor film with the gate insulating film interposed therebetween or a third electrode provided in contact with the gate insulating film and surrounding the second electrode. The third electrode is connected to the first electrode or the second electrode.

The present invention has an object of providing a light-emitting device including an OLED formed on a plastic substrate, which prevents degradation due to penetration of moisture or oxygen. On a plastic substrate, a plurality of films for preventing oxygen or moisture from penetrating into an organic light-emitting layer in the OLED (“barrier films”) and a film having a smaller stress than the barrier films (“stress relaxing film”), the film being interposed between the barrier films, are provided. Owing to a laminate structure, if a crack occurs in one of the barrier films, the other barrier film(s) can prevent moisture or oxygen from penetrating into the organic light emitting layer. The stress relaxing film, which has a smaller stress than the barrier films, is interposed between the barrier films, making it possible to reduce stress of the entire sealing film. Therefore, a crack due to stress hardly occurs.

Some embodiments include transistors having a channel region under a gate, having a source/drain region laterally spaced from the channel region by an active region, and having one or more dielectric features extending through the active region in a configuration which precludes any straight-line lateral conductive path from the channel region to the source/drain region. The dielectric features may be spaced-apart islands in some configurations. The dielectric features may be multi-branched interlocking structures in some configurations.

Methods, devices, and systems are provided for a select device that can include a semiconductive stack of at least one semiconductive material formed on a first electrode, where the semiconductive stack can have a thickness of about 700 angstroms (Å) or less. Each of the at least one semiconductive material can have an associated band gap of about 4 electron volts (eV) or less and a second electrode can be formed on the semiconductive stack.

A ski system includes a ski, a heel binding provided on an upper surface of the ski, a toe binding mount provided on the upper surface of the ski forward of the heel binding, a toe binding releasably mounted to the toe binding mount, and a quick-release locking mechanism for locking the toe binding to the toe binding mount. The quick-release locking mechanism is configured for release by hand.

Interior panels having integrated airbag doors for motor vehicles and methods for making such interior panels are provided herein. In one example, an interior panel comprises a substrate having outer and inner surfaces and an opening extending therethrough. A multi-shot injection molded airbag chute-door assembly is mounted to the substrate and comprises a chute wall that at least partially surrounds an interior space. A door flap portion is pivotally connected to the chute wall and at least partially covers the opening. A perimeter flange extends from the chute wall and has a flange section that overlies the outer surface of the substrate. A molded-in lip feature extends from the flange section and contacts the outer surface to form a seal between the flange section and the substrate. A skin covering extends over the substrate and a foam is disposed between the skin covering and the substrate.

A luggage case may include opposing sidewalls forming minor faces, opposing sidewalls forming major faces, and opposing end walls together forming an article defining an enclosed space. A line of separation may be formed in said minor faces and end walls. A first portion of the line of separation may extend along a first portion of opposing minor faces at a location proximate one of said opposing major faces and corresponding one of said opposing end walls positioned therebetween. A second portion of the line of separation may extend along a second portion of said opposing minor faces in a direction away from said one of said opposing major faces and towards other of said opposing major faces.

A luggage case (100, 600, 700, 800, 900) may include opposing sidewalls forming minor faces (105, 106), opposing sidewalls forming major faces (101, 102), and opposing end walls (103, 104) together forming an article defining an enclosed space (109). A line of separation (150) may be formed in said minor faces (105, 160) and end walls (103, 104). A first portion of the line of separation (150) may extend along a first portion of opposing minor faces (105, 106) at a location proximate one of said opposing major faces (101, 102) and corresponding one of said opposing end walls (103, 104) positioned therebetween. A second portion of the line of separation (150) may extend along a second portion of said opposing minor faces (105, 106) in a direction away from said one of said opposing major faces (101, 102) and towards other of said opposing major faces (101, 102).

A drill bit assembly for measuring reservoir formation properties comprises a bit head and a pin body, and an electrically insulated gap joint between two conductive parts of the drill bit assembly. The bit head has a cutting end and an opposite connecting end with an engagement section. The pin body comprises a connecting end with an engagement section. The pin connecting end is connected to the bit head connecting end such that the engagement sections overlap. The electrically insulating gap joint can fill a gap between the bit head and pin body engagement sections such that the bit head and pin body are mechanically connected together at the connecting ends but electrically separated. Alternatively or additionally, the pin body can have two pieces which are separated by an electrically insulating gap joint. An electrical conductor is electrically connected at a first end to the bit head and is communicable at a second end with an alternating current signal to transmit an alternating current into the bit head, thereby inducing an electric current into a reservoir formation adjacent the bit head. Electronic equipment includes measurement circuitry configured to determine the alternating current at the bit head, the alternating current being inversely proportional to a bit resistivity of the formation.

An adjustable bent drilling tool capable of changing in situ drilling direction to facilitate horizontal drilling. The drilling tool may be controlled from the surface and eliminates the need to bring the tool to the surface for reconfiguration. In one embodiment, the drilling tool utilizes a communications module to communicate with upstream sections of the tool. The communications module is connected to a programmable electronic control module which controls an electric motor. A hydraulic valve assembly follows the control module, which receives input signals and controls a pilot piston between two fixed points of a mid-assembly typically located adjacent to and downstream of the hydraulic valve assembly on the drill tool. A lower assembly is attached to the drill tool immediately following the mid-assembly, and provides both a safety release sub-assembly as well as a bendable sub-assembly which directs the adjustable drill tool to change drilling angle and direction.

Expandable apparatus for use in subterranean boreholes include at least one member configured to move between a retracted position and an extended position. A latching member disposed in the tubular body may selectively retain the at least one member in the retracted position. Methods of operating an expandable apparatus include securing at least one member of the expandable apparatus in a retracted position by engaging an inner wall of a tubular body with at least one latch member disposed in at least one aperture formed in a latch sleeve.

Expandable apparatus for use in subterranean boreholes include at least one member configured to move between a retracted position and an extended position. Components of the expandable apparatus may include at least one surface for removing debris proximate to the tubular body. Components of the expandable apparatus may be configured to enable the expandable apparatus to increase a diameter of a subterranean borehole by greater than twenty percent. Components of the expandable apparatus may be configured to restrict fluid flow to nozzle assemblies. The expandable apparatus may include a protect sleeve having a push sleeve disposed therein. Methods of operating an expandable apparatus may include removing debris with a surface of the expandable apparatus. Methods of operating an expandable apparatus may also include selectively flowing fluid to nozzle assemblies.

Image sensors and methods of operating the same. An image sensor includes a pixel array including a plurality of pixels. Each of the plurality of pixels includes a photo sensor, the voltage-current characteristics of which vary according to energy of incident light, and that generates a sense current determined by the energy of the incident light; a reset unit that is activated to generate a reference current, according to a reset signal for resetting at least one of the plurality of pixels; and a conversion unit that converts the sense current and the reference current into a sense voltage and a reference voltage, respectively.

A gasifier comprises an internal chamber, a slag collection region, a slag passageway, a slag breaker, and an actuator. The internal chamber comprises a main combustion region that is configured and adapted to gasify fuel. The slag collection region is located beneath the main combustion region. The slag passageway operatively connects the main combustion region to the slag collection region. The slag breaker comprises a face that is movable relative to the internal chamber. The face is configured and adapted to move within the slag passageway in a manner such that the face contacts and mechanically breaks solidified slag into chunks of solidified slag that then fall into the slag collection region. The actuator is connected to the slag breaker and is configured and adapted to move the face of the slag breaker.

Apparatus for separating ash particles from a flue gas. The apparatus includes a screen that has a plurality of semi-elliptical cylinder surfaces. The semi-elliptical cylinder surfaces having holes through which said flue gas flows and through which the ash particles will not pass. The screen has a single layer for performing the separation in a manner such that the ash particles fall away from the screen and collect outside of the screen. A method of reducing velocity of a flue gas passing through screening apparatus for separating flue gas from ash particles. The method includes replacing a first screen of the screening apparatus with a second screen that has a plurality of semi-elliptical cylinder surfaces.

A pulverized coal burner and a pulverized coal boiler. The coal burner comprises a primary air cylinder (111) and a pulverized coal concentration device (112). The coal concentration device (112) makes the concentration of the coal flow gradually decrease from inside to outside along the radial direction, with respect to an axis (100) of the primary air cylinder (111). The coal burner further comprises a coal separating cylinder (113) and a coal guiding cylinder (114) located downstream of the device (112), the rear end of the cylinder (113) is connected with the front end of the coal guiding cylinder (114). The outlet of the cylinder (114) has a conical expansion portion (1141). The coal burner further comprises a divergent nozzle (115) connected with the rear end of the primary air cylinder (111) and whose cross-sectional area gradually increases along the flow direction of the coal flow.

A PWM circuit that can have two refresh rates, including: a first PWM signal generator and a second PWM signal generator; wherein the first PWM signal generator and the second PWM signal generator respectively control refresh rates in two dimensions of an output data generated from a target apparatus. A PWM signal generation method that can have two refresh rates, including: generating a first PWM signal; generating a second PWM signal; and controlling refresh rates in different dimensions of an output data generated from a target apparatus respectively by using the first PWM signal and the second PWM signal.

A communications transmitter includes a baseband processor configured to generate amplitude, angle, in-phase and quadrature baseband signals and a combination modulator that is configurable to modulate in the polar domain and, alternatively, in the quadrature domain. The combination modulator includes a quadrature modulator and a separate and distinct angle modulator that is configured to serve as a local oscillator for the quadrature modulator. In one embodiment of the invention the combination modulator is configured to modulate in the quadrature domain when the transmitter is operating according to a first communications condition (e.g., first transmit power level or first modulation scheme) and is configured to modulate in the polar domain when the transmitter is operating according to a second communications condition (e.g., second transmit power level or second modulation scheme).

A frequency modulating path for generating a frequency modulated clock includes a direct feed input arranged for directly modulating frequency of an oscillator, and a compensating feed input arranged for compensating effects of frequency modulating on a phase error; wherein the compensating feed input is resampled by a down-divided clock that is an integer edge division of the oscillator. A reference phase generator for generating a reference phase output includes a resampling circuit, an accumulator and a sampler. The resampling circuit is for resampling a modulating frequency command word (FCW) input to produce a plurality of samples. The accumulator is for accumulating the samples to generate an accumulated result. The sampler is for sampling the accumulated result according to a frequency reference clock, and accordingly generating a sampled result, wherein the reference phase output is updated according to at least the sampled result.

A frequency modulator includes a digitally-controlled oscillator (DCO) arranged for producing a frequency deviation in response to a modulation tuning word and a phase-locked loop (PLL) tuning word. In addition, another frequency modulator includes a DCO and a DCO interface circuit. The DCO is arranged for producing a frequency deviation in response to an integer tuning word and a fractional tuning word. The DCO interface circuit is arranged for generating the integer tuning word and the fractional tuning word to the DCO, wherein the fractional tuning word is obtained through asynchronous sampling of a fixed-point tuning word.

A modulation method is provided. The modulation method includes the steps of receiving multiple sinusoidal signals, obtaining the maximum value of the sinusoidal signals, obtaining the median value of the sinusoidal signals, and obtaining the minimum value of the sinusoidal signals within a period to generate a difference between the maximum value and the minimum value, generating a difference according to an upper limit and a lower limit of a predetermined comparison value, and comparing the two differences to generate an optimized modulation signal.

Systems and methods for operating with oscillators configured to produce an oscillating signal having an arbitrary frequency are described. The frequency of the oscillating signal may be shifted to remove its arbitrary nature by application of multiple tuning signals or values to the oscillator. Alternatively, the arbitrary frequency may be accommodated by adjusting operation one or more components of a circuit receiving the oscillating signal.

A modulator which has a first terminal to receive a carrier signal, a second terminal to receive a first control signal to control a frequency band of the carrier signal and a third terminal to receive a second control signal to control a modulation depth of the carrier signal.