Abstract: In a system, known digital representations are generated, and test analog signals are generated using the known digital representations. The test analog signals are transmitted using a transmitter of a transmission system. The test analog signals are received using a receiver of the transmission system and used to generate test received digital representations. The test received digital representations are cross-correlated with the known digital representations to generate a mixing matrix. The mixing matrix is inverted to generate a de-mixing matrix, which is applied to subsequent digital data to be encoded onto a signal and transmitted by the transmitter to generate pre-compensated digital data.

Abstract: In a system, known digitizer signals (known analog signals or digital representations of known analog signals) are generated. The known digitizer signals are input into digitizers (analog-to-digital converter (ADCs) or digital-to-analog converter (DACs)) to output generated digitizer signals (generated digital representations or generated analog signals). The generated digitizer signals are analyzed in relation to the known digitizer signals to generate coupling coefficients, which can be either scalar quantities or finite-impulse-response (FIR) filter functions. Subsequent digitizer signals are generated. The subsequent digitizer signals are modified using the coupling coefficients to generate modified digitizer signals according to formulae. The modified digitizer signals are used directly as digital representations, or are input to the DACs to output modified analog signals that substantially match subsequent analog signals.

Abstract: A system includes a first optical frequency comb generator that generates a first parametrically generated comb using parametric mixing comprising a first plurality of optical waves including at least one first optical wave. The system includes a second optical frequency comb generator that generates a second parametrically generated comb using parametric mixing comprising a second plurality of optical waves. The second optical frequency comb generator receives the at least one first optical wave and generates the second plurality of optical waves using the at least one first optical wave. Respective center frequencies of one or more optical waves of the first plurality of optical waves are aligned in frequency with respective center frequencies of one or more optical waves of the second plurality of optical waves.

Abstract: In a nonlinear signal filtering system, a signal having a series of signal samples is filtered. The signal samples are affected by interactions with adjacent signal samples and nonlinear distortions. The system contains a series of alternating linear system elements and nonlinear system elements that are used for mitigation of distortion resulting from the nonlinear distortions with memory effects. The linear system elements can scale each signal sample in the series of signal samples by scaling parameters and sums a plurality of consecutive scaled signal samples, and the nonlinear system elements can transform the output of the linear system elements according to instantaneous nonlinear functions.

Abstract: Phase noise is corrected in a communication system including a modulated signal having a constellation including multiple constellation points. The system and methods include a coarse phase recovery followed by a fine phase recovery. Coarse phase corrected points can be generated using an Mth power operation. Fine phase corrected points can be generated by rotating each coarse phase corrected point by an angle that is determined by the location of that coarse phase corrected point in the constellation, and applying a phase offset function to each transformed point. A phase noise mitigated constellation can be generated by derotating the fine phase corrected points.

Abstract: In an improved wavelength-division multiplexed system, transmitters modulate carrier signals that are phase or frequency correlated with each other. Receivers retrieve transmission data from the modulated carrier signals by demodulating and equalizing the modulated carrier signals using oscillating signals that are also phase or frequency correlated with each other. Each oscillating signal has a wavelength that matches a wavelength of a corresponding one of the carrier signals. At least one of the receivers generates process information during the demodulating and equalizing. The process information is sent to at least one other receiver, which uses the process information to retrieve at least a portion of the transmission data.

Abstract: The present invention relates to a method of improving the performance in bandwidth constrained communication systems while reducing the complexity of the equalizer used for information retrieval, as well as to improving the capacity of communication systems. These properties are achieved by appropriate information encoding, prior to signal shaping before transmission, whereas the equalizer complexity is reduced by applying the intersymbol interference shortening filter prior to the information retrieving equalization. A proper combination of the recounted elements is capable of providing a qualitatively improved and previously unsuspected performance, as compared to its constituent elements.

Abstract: In a transmission system, a transmission signal is generated from transmission data. The transmission signal has a series of shaped pulses, such as raised-cosine or root-raised-cosine shaped pulses, formed using a pulse-shaping filter. A reception signal, based on the transmission signal having passed through a transmission channel, is sampled to generate sampled digital data. The sampled digital data is filtered through a receiver filter to regenerate the transmission data, where the pulse shaping filter and the receiver filter are mismatched.

Abstract: In a nonlinear signal filtering system, a signal having a series of signal samples is filtered. The signal samples are affected by interactions with adjacent signal samples and nonlinear distortions. The system contains a series of alternating linear system elements and nonlinear system elements that are used for mitigation of distortion resulting from the nonlinear distortions with memory effects. The linear system elements can scale each signal sample in the series of signal samples by scaling parameters and sums a plurality of consecutive scaled signal samples, and the nonlinear system elements can transform the output of the linear system elements according to instantaneous nonlinear functions.

Abstract: A spread spectrum receiver and receiving methods are provided. Received data is physically reconstructed in the optical domain using a pair of coherently coupled frequency combs, one modulated by the received signal and one modulated by the code word, and then detecting the received data with a subrate detector comprised of detector array. Particular methods and receivers extract a timing difference between the received spread spectrum signal and the codeword from the phase shifts of Fourier terms of the product of the received spread spectrum signal and the codeword that can be measured from the combined combs.

Abstract: In a system, known digitizer signals (known analog signals or digital representations of known analog signals) are generated. The known digitizer signals are input into digitizers (analog-to-digital converter (ADCs) or digital-to-analog converter (DACs)) to output generated digitizer signals (generated digital representations or generated analog signals). The generated digitizer signals are analyzed in relation to the known digitizer signals to generate coupling coefficients, which can be either scalar quantities or finite-impulse-response (FIR) filter functions. Subsequent digitizer signals are generated. The subsequent digitizer signals are modified using the coupling coefficients to generate modified digitizer signals according to formulae. The modified digitizer signals are used directly as digital representations, or are input to the DACs to output modified analog signals that substantially match subsequent analog signals.

Abstract: A system includes a first optical frequency comb generator that generates a first parametrically generated comb using parametric mixing comprising a first plurality of optical waves including at least one first optical wave. The system includes a second optical frequency comb generator that generates a second parametrically generated comb using parametric mixing comprising a second plurality of optical waves. The second optical frequency comb generator receives the at least one first optical wave and generates the second plurality of optical waves using the at least one first optical wave. Respective center frequencies of one or more optical waves of the first plurality of optical waves are aligned in frequency with respective center frequencies of one or more optical waves of the second plurality of optical waves.

Abstract: In a transmission system, a transmission signal is generated from transmission data. The transmission signal has a series of shaped pulses, such as raised-cosine or root-raised-cosine shaped pulses. A reception signal, based on the transmission signal having passed through a transmission channel, is sampled to generate sampled digital data. The sampled digital data is filtered through a super-Gaussian filter to regenerate the transmission data.

Abstract: The present invention relates to a method of improving the performance in bandwidth constrained communication systems while reducing the complexity of the equalizer used for information retrieval, as well as to improving the capacity of communication systems. The said properties are achieved by appropriate information encoding, prior to signal shaping before transmission, whereas the equalizer complexity is reduced by applying the intersymbol interference shortening filter prior to the information retrieving equalization. A proper combination of the recounted elements is capable of providing a qualitatively improved and previously unsuspected performance, as compared to its constituent elements.

Abstract: In a system, known digitizer signals (known analog signals or digital representations of known analog signals) are generated. The known digitizer signals are input into digitizers (analog-to-digital converter (ADCs) or digital-to-analog converter (DACs)) to output generated digitizer signals (generated digital representations or generated analog signals). The generated digitizer signals are analyzed in relation to the known digitizer signals to generate coupling coefficients, which can be either scalar quantities or finite-impulse-response (FIR) filter functions. Subsequent digitizer signals are generated. The subsequent digitizer signals are modified using the coupling coefficients to generate modified digitizer signals according to formulae. The modified digitizer signals are used directly as digital representations, or are input to the DACs to output modified analog signals that substantially match subsequent analog signals.

Abstract: In a nonlinear signal filtering system, a signal having a series of signal samples is filtered. The signal samples are affected by interactions with adjacent signal samples and nonlinear distortions. The system contains a series of alternating linear system elements and nonlinear system elements that are used for mitigation of distortion resulting from the nonlinear distortions with memory effects. The linear system elements can scale each signal sample in the series of signal samples by scaling parameters and sums a plurality of consecutive scaled signal samples, and the nonlinear system elements can transform the output of the linear system elements according to instantaneous nonlinear functions.

Abstract: In a system, known digital representations are generated, and test analog signals are generated using the known digital representations. The test analog signals are transmitted using a transmitter of a transmission system. The test analog signals are received using a receiver of the transmission system and used to generate test received digital representations. The test received digital representations are cross-correlated with the known digital representations to generate a mixing matrix. The mixing matrix is inverted to generate a de-mixing matrix, which is applied to subsequent digital data to be encoded onto a signal and transmitted by the transmitter to generate pre-compensated digital data.

Abstract: In an improved wavelength-division multiplexed system, transmitters modulate carrier signals that are phase or frequency correlated with each other. Receivers retrieve transmission data from the modulated carrier signals by demodulating and equalizing the modulated carrier signals using oscillating signals that are also phase or frequency correlated with each other. Each oscillating signal has a wavelength that matches a wavelength of a corresponding one of the carrier signals. At least one of the receivers generates process information during the demodulating and equalizing. The process information is sent to at least one other receiver, which uses the process information to retrieve at least a portion of the transmission data.

Abstract: In a system, known digitizer signals (known analog signals or digital representations of known analog signals) are generated. The known digitizer signals are input into digitizers (analog-to-digital converter (ADCs) or digital-to-analog converter (DACs)) to output generated digitizer signals (generated digital representations or generated analog signals). The generated digitizer signals are analyzed in relation to the known digitizer signals to generate coupling coefficients, which can be either scalar quantities or finite-impulse-response (FIR) filter functions. Subsequent digitizer signals are generated. The subsequent digitizer signals are modified using the coupling coefficients to generate modified digitizer signals according to formulae. The modified digitizer signals are used directly as digital representations, or are input to the DACs to output modified analog signals that substantially match subsequent analog signals.

Abstract: In a transmission system, a transmission signal is generated from transmission data. The transmission signal has a series of shaped pulses, such as raised-cosine or root-raised-cosine shaped pulses. A reception signal, based on the transmission signal having passed through a transmission channel, is sampled to generate sampled digital data. The sampled digital data is filtered through a super-Gaussian filter to regenerate the transmission data.