A method for precoding to mitigate nonlinear distortions and a precoder for performing the same are disclosed. The precoder for mitigating distortions of a communication signal may include a filter configured to generate a filtering signal based on a third signal and filter coefficients corresponding to a selected signal generated based on a first signal, a second signal, and the third signal, and a modulo operator configured to generate the third signal by performing a modulo operation on the second signal, wherein the second signal is generated based on the first signal and the filtering signal.

A system for receiving multipath signals is disclosed. The system includes an equalizer that includes an input for a received data signal, wherein the received data comprises a first multipath component and a second multipath component. The equalizer further includes a channel impulse response estimator coupled to the input configured to determine one or more channel impulse response (CIR) estimates for the first multipath component and the second multipath component. The equalizer further includes a statistical estimation module coupled to the channel impulse response estimator configured to estimate a state of the first multipath component and the second multipath component based on the one or more channel impulse response estimates. The equalizer further includes a detector coupled to the statistical estimation module configured to detect data from the received data signal based on an estimated future state of the first multipath component and the second multipath component.

A method for equalizer correction in a communication network includes (a) obtaining raw equalizer coefficients in a frequency domain, (b) removing time delay from the raw equalizer coefficients to generate corrected equalizer coefficients in a time domain such that a direct current (DC) corrected equalizer coefficient of the corrected equalizer coefficients has a phase of zero, and (c) converting the corrected equalizer coefficients from the time domain to the frequency domain.

A wireless power transmitter can receive the results of a characterizing signal transmitted by the wireless power receiver, compute at least two parameters of a model characterizing an in-band communications channel based on the received results of the characterizing signal transmitted by the wireless power receiver, compute a plurality of equalizing filter taps from the at least two parameters, and apply the computed equalizing filter to subsequent signals received by the wireless power transmitter via the in-band communications channel. A first parameter can correspond to a time constant of the channel, and a second parameter can correspond to a damping value of the communications channel. The wireless power transmitter can transmit to a wireless power receiver a request to transmit a characterizing signal through the in-band communication channel, wherein the characterizing signal transmitted by the wireless power receiver is sent in response to the transmitted request.

The resulting two-sided ISI effect can be migrated to an equivalent noncausal communication channel. Then, a method for mitigating two-sided ISI and compensating the noncausal channel effect is proposed. The method includes insertion and removal of CP and CS. When CS and CP are inserted at transmitter and removed at receiver in block transmission-based communication systems, it is possible to generate a circulant convolution matrix for noncausal communication channel. In addition, the method includes equalization of a noncausal communication channel in block transmission-based communication systems when the channel state information is available at the receiver.

Various aspects of the present disclosure generally relate to wireless communication. In some aspects, a receiving device may receive, in a communication, an indication of a shaping filter to be used with one or more subsequent communications. The receiving device may receive the one or more subsequent communications having the shaping filter applied. Numerous other aspects are described.

Provided are a channel flatness compensation method, a channel flatness compensation apparatus, a storage medium, a baseband chip, and a device, wherein the method is applied to a transmitting link modulated by orthogonal frequency division multiplexing and includes: receiving an input vector of a current sub-carrier subjected to sub-carrier mapping processing, and determining current values of preset configuration parameters corresponding to the current sub-carrier; querying a preset frequency domain compensation table according to the current values of the preset configuration parameters, and determining a target compensation vector according to a query result; and determining an output vector of the current sub-carrier according to the input vector and the target compensation vector, wherein the output vector is used in an inverse fast Fourier transform operation.

A processing method in a wireless telecommunications receiver receiving a digitally modulated single-carrier signal includes, between a matched filter, in the time domain, operating at a frequency drx×B and a frequency equalizer, operating at the frequency B, a decimation step comprising: i/extracting, from a filtered signal frame, a first sequence of samples for aiding the decimation and having the same power; and a second sequence of payload samples intended to be equalized; ii/estimating the variance in the power of each of the drx decimation phases of the first sequence and identifying the n.sup.th decimation phase associated with the minimum variance; iii/decimating the second sequence by selecting the n.sup.th decimation phase of the second sequence and supplying the decimation phase at the input of the frequency equalizer.

System and methods for shaped single carrier orthogonal frequency division multiplexing with low peak to average power ratio are provided. The system receives an input signal and modulates the input signal to form Dirichlet kernels in a time domain to generate an offset Dirichlet kernel output time array where each Dirichlet kernel has a main lobe and a plurality of side lobes. Modulating the input signal suppresses a peak to average power ratio of the offset Dirichlet kernel output time array by reducing the plurality of side lobes of each Dirichlet kernel and respective amplitudes of the side lobes.

Disclosed are a wireless transmitter and a reference signal transmission method that improve channel estimation accuracy. In a terminal, which transmits a reference signal using n (n is a non-negative integer 2 or greater) band blocks (which correspond to clusters here), which are disposed with spaces therebetween in a frequency direction, a reference signal controller switches the reference signal formation method of a reference signal generator between a first formation method and a second formation method based on the number (n) of band blocks. In addition, a threshold value setting unit adjusts a switching threshold value based on the frequency spacing between band blocks. Thus, the reference signal formation method can be selected with good accuracy and, as a result, channel estimation accuracy is further improved.