An adaptive equalizer (70) according to this invention includes an adaptive equalization filter (71) configured to adaptively compensate for a waveform distortion caused by a polarization fluctuation of a received signal (61) by updating a tap coefficient, a first tap coefficient updater (72) configured to calculate the tap coefficient according to the polarization fluctuation of the received signal (61) using a variable step size and update the tap coefficient of the adaptive equalization filter (71), a second tap coefficient updater (73) configured to calculate the tap coefficient according to the polarization fluctuation of the received signal (61) using a fixed step size μ.sub.0, a polarization state estimator (74) configured to estimate a polarization state of the received signal (61) using the tap coefficient calculated by the second tap coefficient updater (73), and a step size updater (75) configured to obtain the step size corresponding to the polarization state estimated by the polarization state estimator (74) and update the variable step size. According to this invention, it is possible to provide an adaptive equalizer that always implements stable followability to various SOP fluctuations.

An apparatus includes an input receiving a modulated optical data signal having components of at least first and second polarizations, a first optical detector receiving the data signal, the first optical detector being first polarization-selective or first polarization-sensitive, passing components of the data signal having the second polarization, and outputting a first electrical signal, a second optical detector coupled to the first optical detector to receive the components of the data signal having the second polarization, and outputting a second electrical signal, and a processor applying a Kramers-Kronig process to the first and second electrical signals, and outputting the data signal using the Kramers-Kronig processed first and second electrical signals. A combiner is connected between the input and the first optical detector and combines the data signal with an unmodulated optical signal such that the unmodulated optical signal serves as a Kramers-Kronig carrier for the first and second polarizations.

A digital coherent receiver includes: an adaptive equalizer configured to execute, using a first tap coefficient, adaptive equalization processing on a digital signal that corresponds to a signal; a first coefficient updating unit configured to update the first tap coefficient based on the digital signal on which the adaptive equalization processing has not been executed, the digital signal on which the adaptive equalization processing has been executed, and a first step size; a second coefficient updating unit configured to update a second tap coefficient based on the digital signal on which the adaptive equalization processing has not been executed, the digital signal on which the adaptive equalization processing has been executed, and a second step size; and a control unit configured to detect a fluctuation speed of a state of polarization of the digital signal based on the second tap coefficient, and change the first tap coefficient to the updated second tap coefficient if it is determined that the fluctuation speed is higher than or equal to a speed threshold.

A receiver system is provided for receiving a coherent Pulse Amplitude Modulation (PAM) encoded signal. The receiver system may include an optical polarization component configured to modulate a polarization of the received coherent PAM encoded signal. The receiver system may further include a digital signal processor (DSP) configured to perform polarization recovery between the received coherent PAM encoded signal and the LO signal using a first control loop, and to perform phase recovery between the received coherent PAM encoded signal and the LO signal using a second control loop.

An optical transmitter (and methods of transmitting and receiving) includes a delay and modulation circuit configured to receive at least one optical beam and a first data signal (persistent data) and generate at least two or more modulated optical beams having the first data encoded therein. One of the modulated optical beams is a time-delayed or time-shifted version of another one of the modulated optical beams, and both beams are directed toward a target. The amount or time delay between the first and second optical beams can be modulated according to a second data signal (non-persistent data) to encode the second data therein. An optical receiver is configured to detect the two modulated optical beams and recover the first data. Because changes in the amount or time delays between the first and second optical beams results in a positional change in the location of the combined centroid of the received beams at a detector of the receiver, the second data can be recovered by detecting the positional changes.

A coherent receiver performing coherent detection on polarization multiplex light into which first polarization light and second polarization light are multiplexed, and splitting the polarization multiplex light into the first polarization light and the second polarization light, an adaptive equalizer compensating the waveform distortion of a signal superimposed onto the first polarization light by using a first FIR filter, compensating the waveform distortion of a signal superimposed onto the second polarization light by using a second FIR filter, and by decoding each of the signals whose waveform distortion has been compensated, generating their respective decoded data, an error ratio calculator calculating the bit error ratio of each decoded data generated by the adaptive equalizer, a margin calculator calculating a margin from the bit error ratio of an error correction limit in each bit error ratio calculated by the error ratio calculator, and a tap number controller setting up the numbers of taps of the first and second FIR filters by referring to the respective margins calculated by the margin calculator are included.

An optical multiple-input-multiple-output (MIMO) receiver includes an input port configured to receive input light; a Stokes measurement apparatus configured to generate measurements of Stokes parameters; an optical MIMO demultiplexer configured to generate a plurality of demultiplexed output light signals based on (i) the input light and (ii) the measurements of the Stokes parameters generated by the Stokes measurement apparatus; and a plurality of output ports configured to output the plurality of demultiplexed output light signals generated by the optical MIMO demultiplexer. In particular, the Stokes measurement apparatus is connected to the optical MIMO demultiplexer in a parallel arrangement.

Dynamic error-quantizer tuning systems and methods prevent misconvergence to local minima by using a dynamic quantizer circuit that controls reference voltages of three or more comparators that are independently adjusted to modify the transfer function of the dynamic quantizer circuit. A weighted sum of the comparator outputs is subtracted from the input to form an error signal in a control loop. The ratio of the reference voltages is chosen to reduce or eliminate local minima during a convergence of the control loop and is set to values that minimize a mean squared error signal with respect to discrete modulation states of the input after the convergence of the control loop is complete.

Described are systems and methods for identifying the phase and polarization of independent modulation streams in quadrature channels of a coherent transmission system by using digital code. As a result, phase rotation and polarization of streams that during transmission may have become rotated and swapped around in the channel are correctly labeled and depermuted according to a known and predictable order.

LMS adaption systems and methods disclosed herein adaptively switch between modes of operation that selectively avoid using the imaginary part of an error signal, in effect, allowing for an LMS adaption that switches between utilizing only the real part of the error signal and utilizing the full complex error signal. Various embodiments take advantage of this added flexibility by implementing a dynamic power saving scheme that, for example, during times when high tracking performance (e.g., high accuracy or high SNR) is not needed, saves power by not energizing a number of multiplier and adder circuits that are expensive in terms of power consumption, thereby, trading power savings for a possible temporary reduction in tracking performance. In embodiments, power savings are accomplished by adaptive power-gating systems and methods that in parts of an analog LMS adaption circuit turn on and off current sources in analog multiplier circuits on demand.