Abstract: Methods, apparatuses, and systems for calculating time delays by a Wasserstein approach are provided. A plurality of signals are recorded by a plurality of sensors (three or more), respectively, and received at a controller. The plurality of signals recorded by the plurality of sensors are generated in response to a signal emitted by a source. The plurality of signals are converted into a plurality of probability density functions. A cumulative distribution transform for each of the plurality of probability density functions is calculated. A time delay for each unique pair of the plurality of sensors is calculated by minimizing a Wasserstein distance between two cumulative distribution transforms corresponding to the unique pair of the plurality of sensors.

Abstract: Methods, apparatuses, and systems for removing noise from a received signal. A signal is received, at a controller, that was recorded by a sensor and emitted by a source. The signal includes a signal of interest component and a noise component. The noise component of the signal is sampled, and the sampled noise component of the signal is used to estimate a variance in the noise component. An energy of the signal of interest component of the signal is determined. A cumulative distribution function for the received signal is calculated, and a cumulative distribution function of the signal of interest component of the received signal is then calculated based on the estimated variance in the sampled noise component, the determined energy of the signal of interest component of the signal, and the calculated cumulative distribution function for the received signal.

Abstract: Methods, apparatuses, and systems for calculating time delays by a Wasserstein approach are provided. A plurality of signals are recorded by a plurality of sensors (three or more), respectively, and received at a controller. The plurality of signals recorded by the plurality of sensors are generated in response to a signal emitted by a source. The plurality of signals are converted into a plurality of probability density functions. A cumulative distribution transform for each of the plurality of probability density functions is calculated.

Abstract: A communication system includes an optical receiver that receives a modulated optical signal and converts same back to electrical form by a photodiode. The photodiode includes an optical input and a dc bias input, and outputs a photocurrent. The optical communication system includes a photodiode linear operation point feedback loop communicating with the photodiode based on an intermodulation distortion contour plot corresponding to the photodiode. The intermodulation distortion contour plot includes a plurality of linear operation points for the photodiode. The photodiode linear operation point feedback loop operates the photodiode at a respective operation point of the plurality of linear operation points.

Abstract: A communication system includes an optical receiver that receives a modulated optical signal and converts same back to electrical form by a photodiode. The photodiode includes an optical input and a dc bias input, and outputs a photocurrent. The optical communication system includes a photodiode linear operation point feedback loop communicating with the photodiode based on an intermodulation distortion contour plot corresponding to the photodiode. The intermodulation distortion contour plot includes a plurality of linear operation points for the photodiode. The photodiode linear operation point feedback loop operates the photodiode at a respective operation point of the plurality of linear operation points.

Abstract: A method of suppressing polarization-dependent loss in a signal. A constant-intensity, analog, optical signal with modulating polarization is transmitted through an optical communications link. The constant-intensity, analog, optical signal with modulating polarization includes an analog radio frequency signal impressed upon a polarization-modulated, laser signal. A polarization-dependent loss of the communications link is determined, the polarization-dependent loss inducing an induced phase shift in the constant-intensity, analog, optical signal with modulating polarization. The constant-intensity, analog, optical signal with modulating polarization is re-oriented using a polarization transformer so as to suppress the induced phase shift.

Abstract: A system for suppressing even-order distortion in a photonic link includes a laser for providing laser light to a first input of a Mach-Zehnder modulator (MZM), where the MZM has a second input for receiving an RF input signal, a third input for applying a DC bias voltage to the MZM, and an optical signal output. A dc-voltage-biased photodiode has an input, coupled to the MZM optical signal output, and a modulated RF signal output. The MZM DC bias voltage is set at a value to generate an even-order distortion amplitude substantially equal to an even-order distortion amplitude from the photodiode and 180 degrees out of phase so as to substantially cancel the photodiode even-order distortion. The invention provides the cancellation of photodiode even-order distortion via predisortion linearization with a MZM biased slightly away from quadrature, employing a single fiber run and a single photodiode. The invention provides an improvement in carrier-to-intermodulation ratio (CIR) upwards of 40 dB.

Abstract: A system for suppressing even-order distortion in a photonic link includes a laser for providing laser light to a first input of a Mach-Zehnder modulator (MZM), where the MZM has a second input for receiving an RF input signal, a third input for applying a DC bias voltage to the MZM, and an optical signal output. A dc-voltage-biased photodiode has an input, coupled to the MZM optical signal output, and a modulated RF signal output. The MZM DC bias voltage is set at a value to generate an even-order distortion amplitude substantially equal to an even-order distortion amplitude from the photodiode and 180 degrees out of phase so as to substantially cancel the photodiode even-order distortion. The invention provides the cancellation of photodiode even-order distortion via predisortion linearization with a MZM biased slightly away from quadrature, employing a single fiber run and a single photodiode. The invention provides an improvement in carrier-to-intermodulation ratio (CIR) upwards of 40 dB.