Methods for communicating are disclosed. A method includes obtaining at least one input communication symbol selected from a set of communication symbols, converting the at least one input communication symbol into at least one transmittable waveform using at least one defined spiral waveform function, and transmitting the at least one transmittable waveform over a communication channel. Example spiral waveform functions include spline-based piecewise functions and Archimedes spiral functions.

Systems, devices, and methods of the present invention enhance data transmission through the use of polynomial symbol waveforms (PSW) and sets of PSWs corresponding to a symbol alphabet is here termed a PSW alphabet. Methods introduced here are based on modifying polynomial alphabet by changing the polynomial coefficients or roots of PSWs and/or shaping of the polynomial alphabet, such as by polynomial convolution, to produce a designed PSW alphabet including waveforms with improved characteristics for data transmission.

A radio communication apparatus includes a QPSK modulator that modulates transmission data to produce a QPSK modulation signal and a 64QAM modulator that modulates transmission data to produce a 64QAM modulation signal. A radio transmitter receives the QPSK modulation signal and the 64QAM modulation signal and outputs a transmission signal. An average transmission power of the QPSK modulation signal and the 64QAM modulation signal are within a predetermined output power range.

The present invention provides a method for transmitting a broadcast signal. The method for transmitting the broadcast signal according to the present invention may comprise the steps of: formatting input streams into multiple data pipes (DPs); encoding data of the multiple DPs according to a code rate for each DP; generating at least one signal frame by mapping the encoded data of the multiple DPs; and modulating data of the generated signal frame in an orthogonal frequency division multiplexing (OFDM) scheme, and transmitting the broadcast signal including data of the modulated signal frame.

In a multicarrier radio transmission system complex-valued symbols are assigned to at least a first subcarrier and a second adjacent subcarrier, wherein the symbols assigned to the second subcarrier are offset in frequency by half a subcarrier against the symbols assigned to the first subcarrier.

One exemplary embodiment can describe a method for communicating. The method for communicating can include a step for identifying characteristics of a communications channel, a step for identifying a set of nonlinear functions used to generate waveforms, a step for assigning a unique numeric code to each waveform, a step for transmitting a numeric sequence as a series of waveforms, a step for receiving the series of waveforms, and a step for decoding the series of waveforms.

A transmitting apparatus, includes a signal generator that generates a modulation signal by modulating transmission data using one of a plurality of modulation schemes, a first modulation scheme having a higher m-ary modulation value than other modulation schemes and a pilot signal generator generates a pilot signal. An orthogonal frequency division multiplexing (OFDM) signal generator generates an OFDM signal by selecting the modulation signal and the pilot signal according to the frame timing signal. The OFDM signal is converted to a radio signal, is amplified and is transmitted to an antenna. The pilot signal is inserted in the OFDM signal per a predetermined OFDM symbol and per a predetermined subcarrier and has a lower amplitude than a maximum amplitude of the first modulation scheme in an in-phase-quadrature (IQ) plane.

The present invention provides a method for transmitting a broadcast signal. The method for transmitting the broadcast signal according to the present invention may comprise the steps of: formatting input streams into multiple data pipes (DPs); encoding data of the multiple DPs according to a code rate for each DP; generating at least one signal frame by mapping the encoded data of the multiple DPs; and modulating data of the generated signal frame in an orthogonal frequency division multiplexing (OFDM) scheme, and transmitting the broadcast signal including data of the modulated signal frame.

Methods, systems, and devices for wireless communications are described. A user equipment (UE) may generate an input signal including information for transmission over a wireless channel. The UE may perform a first waveform shaping stage on the input signal to increase an in-band emissions ratio and reduce a peak-to-average power ratio (PAPR) of the input signal. The UE may perform a second waveform shaping stage on the output of the first waveform shaping stage to reduce an adjacent channel leakage ratio of the output of the first waveform shaping stage. The UE may then transmit a signal over the wireless channel based on an output of the second waveform shaping stage.

Various aspects of the present disclosure generally relate to wireless communication. In some aspects, a transmitting node may obtain a k-bit sequence of information bits. The transmitting node may encode the k-bit sequence to an output sequence that corresponds to a length-n symbol sequence in a set of symbol sequences of length n and over an alphabet A.sub.m in accordance with a first phase of energy-based arithmetic coding for probabilistic amplitude shaping (PAS) and a second phase of energy-based arithmetic coding for PAS. The transmitting node may perform, to a receiving node, a transmission based at least in part on the length-n symbol sequence. Numerous other aspects are described.