A wireless communications system includes a pre-distortion actuator configured to receive a carrier-modulated signal and convert the carrier-modulated signal into an output signal. The system includes one or more antennas configured to receive the output signal and transmit the output signal, one or more power amplifiers electrically coupled between the pre-distortion actuator and the one or more antennas and a receiver configured to receive the output signal over-the-air and generate feedback based on the output signal. The pre-distortion actuator is configured to generate the output signal by applying a correction to the carrier-modulated signal that cancels out nonlinearities associated with the one or more antennas and/or the one or more power amplifiers. The pre-distortion actuator is configured based on the feedback.

There is provided spectrum shaping of a signal. A frequency-domain representation of the signal to be spectrum-shaped is provided. The signal is associated with a set of constellation points having a minimum distance. A spectrum-shaped signal is determined by altering a proper subset of the constellation points while maintaining the minimum distance between all of the constellation points. The spectrum-shaped signal is transformed into a time-domain signal.

A system and method including multi-dimensional coded modulation wherein symbols within successive blocks of symbols are mapped using at least two different constellations to differentiate the symbols from each other. At least one data bit is encoded by an order of the symbols within each block of symbols. The receiver decodes the data by decoding at least one bit from the order of the symbols mapped with the first and second constellations.

A system and method including multi-dimensional coded modulation wherein symbols within successive blocks of symbols are mapped using at least two different constellations to differentiate the symbols from each other. At least one data bit is encoded by an order of the symbols within each block of symbols. The receiver decodes the data by decoding at least one bit from the order of the symbols mapped with the first and second constellations.

According to an exemplary embodiment, a method of making a Hermetic transform to mitigate noise comprises: receiving over a channel signal frames comprising predetermined data and gaps comprising noise; framing the predetermined data; constructing a set of linear equations which relate a transfer function matrix of the channel to the predetermined data; determining the transfer function matrix by inverting the linear equations using a first pseudo inverse matrix; incorporating transfer function matrix into linear equations for a hermetic transform; and determining the hermetic transform using a second pseudo inverse matrix based on the predetermined data and the noise.

An error correction circuit includes a first error correction circuit, a second error correction circuit and a controller. The first error correction circuit performs an error correction in a first correction scheme. The second error correction circuit performs an error correction in a second correction scheme. A correction performance of the second correction scheme is lower than a correction performance of the first correction scheme. The controller makes the first error correction circuit perform error correction of a received signal when a capacity of the received signal is smaller than or equal to a processing capacity of the first error correction circuit, and makes the first error correction circuit and the second error correction circuit perform error correction of the received signal when the capacity of the received signal is larger than the processing capacity of the first error correction circuit.

According to one embodiment, a transmission system may include a plurality of signal processing apparatuses. The signal processing apparatus are connected in series. The signal processing apparatus includes a plurality of signal processors, and a switcher. The signal processors generate an output signal by performing signal processing of an input signal from an earlier-stage signal processing apparatus. The signal processors supply the output signal into which is included an abnormality signal if the input signal does not include the abnormality signal and also the output signal does not satisfy the criteria. The switcher receives a plurality of output signals output from the plurality of signal processors. The switcher supplies an output signal of the plurality of output signals.

An RF system using PR-ASK with orthogonal offset is disclosed. In some embodiments, the system includes a PR-ASK signal generator and an orthogonal offset generator. The PR-ASK signal generator can produce a signal representing a sequence of symbols, for example, RFID symbols. The orthogonal offset generator can shift the PR-ASK signal trajectory away from the origin while maintaining the time domain requirements for an RFID signal, such as waveform edge rise and fall times. In some embodiments stored waveforms incorporating the controlled orthogonal offset are used to synthesize a sequence of symbols. The stored waveforms may also include nonlinear and/or linear predistortion to reduce computational complexity. The waveforms can be represented in Cartesian coordinates for use in a direct conversion transmitter or polar coordinates for use in a polar modulation transmitter. An RFID system can also include a receiver to receive incoming RFID signals.

A method and a device for transmitting and receiving a signal on the basis of multiple antennas are provided. A transmitting device may include a radio frequency (RF) module transmitting a quadrature amplitude modulation (QAM) signal of a first symbol corresponding to a hybrid frequency shift keying and quadrature amplitude modulation (FQAM) mode and transmitting a QAM signal of a second symbol corresponding to a QAM mode through a second antenna; and a modulation module mapping the QAM signal of the first symbol to one frequency tone among the preset number of frequency tones according to a frequency shift keying (FSK) signal of the first symbol and mapping the second symbol to the frequency tone to which the first symbol is mapped.

Systems and methods are provided for dynamic calibration of pre-distortion modification in transmitters. The pre-distortion modification may be applied during processing of an input signal for transmission, and feedback data, relating to the transmitter and/or processing performed after application of the pre-distortion modification in the transmitter, may be obtained. Adjustments to the pre-distortion modification may be determined based on the feedback data, and the adjustments to the pre-distortion modification may be applied in loop-back manner, thus enabling adjustment of pre-distortion modification dynamically based on real-time and current data. The pre-distortion modification may comprise modifying one or more signal characteristics, such as phase, frequency, and/or amplitude. Determining and/or applying the adjustments to the pre-distortion modification may be done periodically, based on one or more particular events, or conditionally.