A system and method for narrowband sinewave modulation. The system includes an input buffer for storing input digital data and a sub-periodic modulator for encoding the input digital data in a periodic waveform. The sub-periodic modulator encodes one or more bit values of the input digital data within each period of the periodic waveform. One or more digital-to-analog converters generate an encoded analog waveform from a digital representation of the periodic waveform wherein the encoded analog waveform is of a frequency f and a power P. The encoding is performed by the sub-periodic modulator such that any signal of frequency f resulting from the encoding is of a power P at least 50 dB less than power P, where f is offset from f by more than 25 Hz.

A data communications system and method having high spectral efficiency. The method includes encoding input digital data using a plurality of symbol waveforms. Each symbol waveform occupies a period of a composite encoded waveform and represents one or more bits of the input digital data. Each symbol waveform has a first elliptical segment and a second elliptical segment of opposite polarity. The encoding includes defining each symbol waveform so that (i) a zero crossing from the first elliptical segment to the second elliptical segment of the symbol waveform is different for each of the symbol waveforms, and (ii) an energy of the first elliptical segment of the symbol waveform is substantially equal to an energy of the second elliptical segment of the symbol waveform. An encoded analog waveform is generated, using a digital-to-analog converter, from a digital representation of the composite encoded waveform.

A system and method for encoding multi-bit features into sinusoidal waveforms at selected phase angles. The method includes receiving input digital data and encoding the input digital data in a sinusoidal waveform by modulating the sinusoidal waveform at selected phase angles within a period of the sinusoidal waveform, thereby creating a modulated sinusoidal waveform. An encoded analog waveform is generated, using a digital-to-analog converter, from a digital representation of the modulated sinusoidal waveform. The modulating includes forming a first data notch at a first phase angle of the selected phase angles wherein the first data notch includes a first plurality of transition features and subtends a first phase angle range about the first phase angle, the first plurality of transition features being representative of a first plurality of bit values included within the input digital data.

A system and method for waveform modulation includes encoding input digital data at selected phase angles of an unmodulated sinusoidal waveform. The encoding includes selectively reducing a power of the unmodulated sinusoidal waveform at the selected phase angles in accordance with bit values of the input digital data so as to respectively define first, second, third and fourth data notches in the modulated sinusoidal waveform. An encoded analog waveform is then generated from a digital representation of the modulated sinusoidal waveform. The encoding is performed so that energies associated with the first and third data notches are balanced and energies associated with second and fourth data notches are also balanced. Each of the energies corresponds to a cumulative power difference between a power of the unmodulated sinusoidal waveform and a power of the modulated sinusoidal waveform over a phase angle range subtended by one of the data notches.

A multi-carrier data communications system and method having high spectral efficiency. The method includes encoding input digital data at selected phase angles of a plurality of sinusoidal waveforms to create a plurality of modulated sinusoidal waveforms. An output analog waveform is generated where the output analog waveform includes a plurality of encoded analog communication signals corresponding to a plurality of digital representations of the plurality of modulated sinusoidal waveforms. The encoding is performed so that adjacent ones of the plurality of modulated sinusoidal waveforms are separated in frequency by less than 15 Hz and any sideband included within the output analog waveform is of a power at least 50 dB below a power of the encoded analog communication signal associated with the sideband.

A mode-locked laser comprising circuitry configured to drive an electro-optic modulator (EOM) in the mode-locked laser with a drive waveform, the drive waveform being a phase-coherent sinusoidal waveform at a frequency equal to a repetition rate of the mode-locked laser, a phase-coherent pulsed waveform at a frequency equal to the repetition rate of the mode-locked laser, or a phase-coherent sinusoidal waveform at a frequency equal to half of the repetition rate of the mode-locked laser.

A mode-locked laser comprising circuitry configured to drive an electro-optic modulator (EOM) in the mode-locked laser with a drive waveform, the drive waveform being a phase-coherent sinusoidal waveform at a frequency equal to a repetition rate of the mode-locked laser, a phase-coherent pulsed waveform at a frequency equal to the repetition rate of the mode-locked laser, or a phase-coherent sinusoidal waveform at a frequency equal to half of the repetition rate of the mode-locked laser.

The invention describes a piezo driving circuit, comprising an input at which a temporally variable voltage signal is applied; a piezo interface for connecting terminals of a piezo actuator arrangement with at least one voltage controlled piezo actuator; a sync control circuit realized to detect the phase position of the voltage signal; and an inverter circuit between the input and the piezo interface; whereby the sync control circuit is realized to control the inverter circuit, based on the phase position of the voltage signal, such that a control voltage with a predefined voltage curve is applied at the piezo interface. The invention further describes a method of controlling a piezo actuator arrangement. The invention also describes a piezo actuator configuration comprising a piezo actuator arrangement and an inventive piezo driving circuit. The invention also describes a metering valve comprising the inventive piezo actuator configuration.

A sine wave oscillator for an inductive sensor system is disclosed. The sine wave oscillator comprises a decoupler and a low-pass filter, wherein the decoupler is configured to provide a pulse width modulated signal as a decoupled signal at one output of the decoupler. One input of the low-pass filter is connected to the output of the decoupler. The low-pass filter is configured to provide a sinusoidal signal for the inductive sensor system by using the inverted signal at an output of the low-pass filter. The sine wave oscillator further comprises a microcontroller that is designed to provide the pulse width modulated signal with a predetermined frequency and a predetermined duty cycle at one pin of the microcontroller.

A sine wave oscillator for an inductive sensor system is disclosed. The sine wave oscillator comprises a decoupler and a low-pass filter, wherein the decoupler is configured to provide a pulse width modulated signal as a decoupled signal at one output of the decoupler. One input of the low-pass filter is connected to the output of the decoupler. The low-pass filter is configured to provide a sinusoidal signal for the inductive sensor system by using the inverted signal at an output of the low-pass filter. The sine wave oscillator further comprises a microcontroller that is designed to provide the pulse width modulated signal with a predetermined frequency and a predetermined duty cycle at one pin of the microcontroller.