A system comprising a processing circuitry configured to: obtain a first ordered sequence of symbols associated with a corresponding second ordered sequence of transmitted symbols and including one or more errors, the errors being discrepancies between given symbols of the first ordered sequence and corresponding symbols of the second ordered sequence; determine, for each symbol of the first ordered sequence of symbols, an estimated transmitted symbol, utilizing a Decision Feedback Equalizer (DFE); and determine if the estimated transmitted symbol of a given symbol of the first ordered sequence of symbols, satisfies a saturation threshold condition; and determine an error hypothesis identifying one or more of the errors by comparing the estimated transmitted symbol of at least one symbol of the first ordered sequence of symbols with one or more pairs of thresholds.

An apparatus includes an equalization circuit, an error prediction circuit, a sequence estimation circuit, and a selection circuit. The equalization circuit is configured to generate a first data sequence and a first equalized signal from an input signal received through a channel. The error prediction circuit is configured to predict an error based on the first equalized signal when the error is predicted. When the error is predicted, the sequence estimation circuit is configured to generate a second data sequence from the first data sequence and the predicted error. The selection circuit is configured to output the second data sequence when the predicted error is determined to be an actual error and to otherwise output the first data sequence.

Methods, systems, and devices for wireless communications are described. A user equipment (UE) may perform online spur detection and mitigation scheme. The UE may identify spurs during operation, in real time, and apply cancelation and noise equalization to address identified spurs. The UE may apply a high pass filter to reference signals. During a symbol, the UE may apply the high pass filter by estimating the channel on one or more neighbor tones (e.g., tones of higher frequency and tones of lower frequency that also carry reference symbols). Because the UE may assume that a channel will generally be smooth, and that noise may vary slowly or steadily across frequency resources, the UE may compare the channel noise of a particular tone to an average or normalized channel noise of the one or more neighbor tones.

A relay device relaying, to a reception device, a signal stream transmitted by a transmission device through MIMO transmission, the relay device including a lattice base reduction processing unit transforming bases of the signal stream transmitted by the transmission device through MIMO transmission, to increase orthogonality of a lattice of the signal stream, a MIMO equalization unit detecting, by equalization, reception symbols in the signal stream with the bases transformed by the lattice base reduction processing unit, a symbol quantization unit performing quantization by mapping the reception symbols detected by the MIMO equalization unit, to a region on a complex plane delimited by quantization threshold values, and a transmission unit transmitting, to the reception device, at least a signal quantized by the symbol quantization unit.

Methods, systems and devices for lattice reduction in decision feedback equalizers for orthogonal time frequency space (OTFS) modulation are described. An exemplary wireless communication method, implementable by a wireless communication receiver apparatus, includes receiving a signal comprising information bits modulated using OTFS modulation scheme. Each delay-Doppler bin in the signal is modulated using a quadrature amplitude modulation (QAM) mapping. The method also includes estimating the information bits based on an inverse of a single error covariance matrix of the signal, with the single error covariance matrix being representative of an estimation error for all delay-Doppler bins in the signal.

There is provided a recording apparatus, a recording method, a reproduction apparatus, a reproduction method, a recording medium, an encoding apparatus, and a decoding apparatus which enable recording or reproduction to be easily implemented at high line density. User data is encoded into a multilevel edge code, and a multilevel code whose value changes in accordance with the multilevel edge code is recorded. The multilevel edge code is generated through state transition of a code generation model which includes a state representing the number of times that zero is consecutive corresponding to a number of ways of the number of times that zero is consecutive, which is the number of times that an edge of 0 is consecutive among edges representing a change amount from an immediately preceding value of the multilevel code of an ML value which is equal to or greater than 3, and which transitions to a state representing the number of times that zero is consecutive including 0 in a case where 0 is output, and transitions to a state representing that the number of times that zero is consecutive is 0 times in a case where one of 1 to ML−1 is output.

New sequences have been proposed and/or adopted for short Physical Uplink Control Channel communications between base stations and UEs. In an exemplary embodiment, a UE communicates with a base station based on sequence groups that include the new sequences, where the new sequences are allocated to different sequence groups based, at least in part, on correlations with other existing sequences included in individual sequence groups.

The disclosed embodiments include multi-channel communications filters, multi-channel communications systems, apparatuses that utilize a tunable multi-channel communications filter for antenna tuning, and methods to perform multi-channel communications filter tuning. A multi-channel communications filter includes a coupled inductor having a primary winding that is coupled to a power source, and magnetically coupled to one or more secondary windings. The multi-channel communications filter also includes a tuning bank formed from a first set of capacitors; and a first set of switches that are configured to adjust capacitance of the first set of capacitors to impede signals having a first frequency range from flowing through the multi-channel communications filter. The tuning bank and the first set of switches are coupled to the one or more secondary windings.

Disclosed is an improved approach for a training approach to implement DFE for an electronic circuit. The inventive concept is particularity suitable to address, for example, circuits that implement high speed parallel data transmission protocols, such as GDDR6, that are used for graphics applications. The training scheme uses minimal hardware when compared to existing schemes by reusing calibration receiver in auto zeroing receiver as error receiver. Further it works for closed eyes by running the algorithm multiple times with gradual increase in complexity of training pattern, where DFE coefficients from previous iteration is used for the current iteration, thereby gradually opening the eye.

A method for estimating a signal-to-interference-plus-noise ratio at a receiver of a wireless communication system OFDM signals may include: determining an estimate ŝ.sub.serving of the signal power of a serving cell of the communication system based on the channel impulse response estimated for the serving cell, determining an estimate ŝ.sub.interfering of the signal power of one or more interfering cells of the communication system based on the channel impulse response estimated for the one or more interfering cells, and determining an estimate of the SINR based on the determined estimate of the signal power of the serving cell and the determined estimate of the signal power of the one or more interfering cells. A Method for equalization of received symbols at a receiver of a wireless communication system using OFDM signals may include: determining an equalizer filter and applying the equalizer filter onto the received signal for equalization of the signal, wherein the equalizer filter is determined in the time domain based on an estimated channel impulse response, an estimated noise covariance and an estimated received symbol covariance.