A receiver includes a decision circuit, a circuit to adjust an input signal of the decision circuit, a correction circuit and a control circuit. The decision circuit makes a data decision based on an input signal of the decision circuit. The circuit to adjust the input signal of the decision circuit adjusts the input signal of the decision circuit based on an input correction signal. The correction circuit combines a plurality of signals corresponding to different input correction parameters into a preliminary input correction signal. An input of the correction circuit is coupled to an output of the decision circuit. The control circuit maps the preliminary input correction signal into the input correction signal using a nonlinear code mapping.

An apparatus for processing data includes a linear equalizer, a load switchably connected to an output of the linear equalizer, a slicer configured to sample a signal derived from the output of the linear equalizer, and a detector circuit configured to detect an over-equalization condition in data to be sampled by the slicer and to connect the load to the output of the linear equalizer in the over-equalization condition.

A predistortion method and apparatus are provided which use a DPD actuator (225) to apply a memory polynomial formed with first DPD coefficients to a first input signal x[n], thereby generating a first pre-distorted input signal y[n] which is provided to the non-linear electronic device (253) to produce the output signal, where the memory polynomial may be adaptively modified with a digital predistortion adapter (224) which computes second DPD coefficients u[n] with an iterative fixed-point conjugate gradient method which uses N received digital samples of the first pre-distorted input signal y[n] and a feedback signal z[n] captured from the output signal to process a set of conjugate gradient parameters (u, b, v, r, ω, α, β) at each predetermined interval, thereby updating the first DPD coefficients with the second DPD coefficients u[n] generate a second pre-distorted input signal which is provided to the non-linear electronic device.

An example method for clock and data recovery (CDR) includes generating, in a set of slicers of a receiver, in addition to a data signal and a first error signal, at least one additional error signal. The method further includes receiving, at a frequency detector (FD) of a CDR unit of the receiver, the data signal, the first error signal, and the at least one additional error signal, and processing them to generate a FD output. The method still further includes multiplying the FD output by a user-defined FD gain, and adding the FD output, as multiplied by the FD gain, in a frequency path of the CDR unit.

A decision feedback equalizer includes a positive signal line, a negative signal line, a sense amplifier, a feedback driver, a load unit, a differential driver, and a charge pump. The differential driver maintains a difference between the first voltage of the positive signal line and the second voltage of the negative signal line at a last time point of the normal period to be equal to or greater than the reference voltage by adjusting strength of the positive input current corresponding to a positive input signal and strength of the negative input current corresponding to a negative input signal based on a temperature signal. The charge pump provides a positive offset voltage and a negative offset voltage to the positive signal line and the negative signal line, respectively. The positive offset voltage and the negative offset voltage are used to maintain an average voltage of the first voltage and the second voltage at the last time point of the normal period at a first value.

An apparatus includes a decision feedback equalizer configured to receive a parallel signal generated based on a first clock. The decision feedback equalizer includes a first equalization block configured to receive a first symbol of a first set of parallel symbols provided by the parallel signal during a first clock cycle of the first clock. A decision feedback equalization is performed by the first equalization block to the first symbol to provide a first decision to a second equalization block. The second equalization block is configured to receive a second symbol of the first set of parallel symbols and perform a decision feedback equalization to the second symbol using the first decision received from the first equalization block to provide a second decision during the first clock cycle.

Embodiments are disclosed for computing an eye diagram based on input pulse responses. An example method includes receiving a set of input pulse responses in one or more unit interval (UI) spaced samples. The set of input pulse responses is generated based on measuring a signal histogram of a receiver of a pulse amplitude modulation analog signal. The method further includes receiving a set of voltage range constraints and generating a matrix based at least in part on an element-wise trigonometric-based operation performed on one or more products of each element of the set of input pulse responses and the set of voltage range constraints. The method further includes generating an eye diagram probability density function based on the matrix and computing an eye diagram based on the eye diagram probability density function, the voltage range constraints, and time data associated with the one or more unit interval spaced samples.

A clock data recovery circuit detects illegal decisions for received data, accumulates a phase gradient for the data, determines a number of the illegal decisions in a configured window for receiving the data, and if the number of the illegal decisions exceeds a pre-defined number in the window, applies a sum of the accumulated phase gradient and a phase increment having a sign of the accumulated phase gradient to a clock circuit for the data receiver.

Embodiments of the present disclosure relate to a method and system to generate a waveform in a communication network. The transmitter receives an input data and transmit a generated waveform to another communication system. The input data is spread with a spread code to generate a spread data and rotated using a constellation rotation operation to produce a rotated data. The rotated data is then precoded using precoding filter to produce a precoded data, and transformed into DFT output data using DFT operation. The DFT output data is then mapped with subcarriers to generate the sub-carrier mapped DFT data and modulated using Orthogonal Frequency Division Multiplexing (OFDM) modulation to generate the waveform with low PAPR.

A method for estimating performance of a serial communication channel using processing circuits. The channel is configured to transmit a binary input stream from a transmitting end to an output stream at a receiving end. The method includes modeling by the processing circuits the channel at the receiving end as a first finite impulse response (FIR) system. The modeling includes estimating a cursor pulse response of the first FIR system by analyzing the output stream received at the receiving end, and estimating one or more pre-cursor or post-cursor pulse responses of the first FIR system from the received output stream using the estimated cursor pulse response. The method further includes determining by the processing circuits a performance metric by using the estimated one or more pre-cursor or post-cursor pulse responses.