A method for supporting a receiving operation based on 2D-NUC performed by a first wireless device according to the present embodiment, comprises the steps of: receiving first and second input information from a second wireless device; performing equalization on the first and second input information; and generating LLR information on the basis of lookup table information predetermined for the equalized first and second input information and 2D-NUC.

Embodiments of this application provide a coding and modulation method, a demodulation and decoding method, an apparatus, and a device. The coding and modulation method includes obtaining K to-be-encoded bits and a modulation scheme, and coding the K to-be-encoded bits, based on M bit levels of the modulation scheme, to obtain M′ code blocks, where M′<M, a code length of an i.sup.th code block is N.sub.i, N.sub.i=M.sub.i*N, M.sub.i is a quantity of bit levels corresponding to the i.sup.th code block, N is a symbol block length, and 1≤i≤M′. The disclosed method further includes modulating the M′ code blocks, according to a mapping relationship between the M′ code blocks and the M bit levels, to obtain and output a modulated symbol sequence, where a code block whose code length is M.sub.i*N corresponds to M.sub.i bit levels in the mapping relationship.

A method for supporting a receiving operation based on 2D-NUC performed by a first wireless device according to the present embodiment, comprises the steps of: receiving first and second input information from a second wireless device; performing equalization on the first and second input information; and generating LLR information on the basis of lookup table information predetermined for the equalized first and second input information and 2D-NUC.

An optical transmitter device (14) includes a digital signal processor ‘DSP’ (20) having digital hardware (30). The DSP is operative to generate (102,202,302) shaped bits from a first set of information bits, and to apply (104,204,304) a systematic forward error correction ‘FEC’ scheme to encode the shaped bits and a second set of information bits, where the first set of information bits and the second set of information bits are disjoint sets. Unshaped bits and the shaped bits are mapped to selected symbols or are used to select symbols from one or more constellations. The selected symbols are mapped to physical dimensions. Each unshaped bit is either one of the second set of information bits or one of multiple parity bits resulting from the FEC encoding. In this manner, a target spectral efficiency is achieved.

Methods (C) for converting a data signal (U). The methods may comprise (i) providing an input symbol stream (IB) of input symbols (Bj), the input symbol stream (IB) being representative for the data signal (U) to be converted and (ii) applying to consecutive disjunct partial input symbol sequences (IB.sup.p) of a number of p consecutive input symbols (IBj) covering said input symbol stream (IB), a distribution matching process (DM) to generate and output a final output symbol stream (OB) or a preform thereof, wherein the distribution matching process (DM) may be formed by a preceding shell mapping process (SM) and a succeeding amplitude mapping process (AM), wherein said shell mapping process (SM) may be configured to form and output to said amplitude mapping process (AM) for each of said consecutive partial input symbol sequences (IB.sup.p) a sequence (s.sup.q) of a number of q shell indices (s), and wherein said amplitude mapping process (AM) may be configured to assign to each shell index (s) a tuple of amplitude values.

A method and an apparatus for measuring a displacement of an object according to steps of: dividing a signal into an I signal and a Q signal according to a phase of the signal, wherein the signal is reflected by the object after a transmission signal having a plurality of frequencies is emitted toward the object by the radar measurement system; estimating a direct current (DC) component from an N-tuple information acquired from the I signal and the Q signal; removing the estimated DC component to correct the I signal and the Q signal; and measuring the displacement of the object based on the corrected I signal and Q signal are provided.

We disclose a transmitter that uses at least first and second fixed constellations in which the same bit-words are assigned to different respective constellation symbols of different respective transmit energies. The transmitter generates an outgoing data frame by first generating two data frames using the first and second constellations, respectively, and then selecting the one of the two data frames that has the lower overall transmit energy and discarding the other. The first and second constellations are constructed in a manner that enables the transmitter to realize a significant shaping gain. Some embodiments of the transmitter are compatible with the use of forward-error-correction coding and provide a shaping gain for the transmission of both information and parity bits. An example embodiment of the transmitter can advantageously be implemented with relatively low complexity by employing constellation mappers and demappers that operate using relatively small look-up tables.

An optical transmitter device includes a digital signal processor (DSP) having digital hardware. The DSP is operative to generate shaped bits from a first set of information bits, and to apply a systematic forward error correction (FEC) scheme to encode the shaped bits and a second set of information bits, where the first set of information bits and the second set of information bits are disjoint sets. Unshaped bits and the shaped bits are mapped to selected symbols or are used to select symbols from one or more constellations. The selected symbols are mapped to physical dimensions. Each unshaped bit is either one of the second set of information bits or one of multiple parity bits resulting from the FEC encoding. In this manner, a target spectral efficiency is achieved.

An optical transmitter device includes a digital signal processor (DSP) having digital hardware. The DSP is operative to generate shaped bits from a first set of information bits, and to apply a systematic forward error correction (FEC) scheme to encode the shaped bits and a second set of information bits, where the first set of information bits and the second set of information bits are disjoint sets. Unshaped bits and the shaped bits are mapped to selected symbols or are used to select symbols from one or more constellations. The selected symbols are mapped to physical dimensions. Each unshaped bit is either one of the second set of information bits or one of multiple parity bits resulting from the FEC encoding. In this manner, a target spectral efficiency is achieved.

Methods (C) for converting a data signal (U). The methods may comprise (i) providing an input symbol stream (IB) of input symbols (Bj), the input symbol stream (IB) being representative for the data signal (U) to be converted and (ii) applying to consecutive disjunct partial input symbol sequences (IB.sup.p) of a number of p consecutive input symbols (IBj) covering said input symbol stream (IB), a distribution matching process (DM) to generate and output a final output symbol stream (OB) or a preform thereof, wherein the distribution matching process (DM) may be formed by a preceding shell mapping process (SM) and a succeeding amplitude mapping process (AM), wherein said shell mapping process (SM) may be configured to form and output to said amplitude mapping process (AM) for each of said consecutive partial input symbol sequences (IB.sup.p) a sequence (s.sup.q) of a number of q shell indices (s), and wherein said amplitude mapping process (AM) may be configured to assign to each shell index (s) a tuple of amplitude values.