An apparatus and method for multiplexing signals using layered division multiplexing are disclosed. A signal multiplexing apparatus according to an embodiment of the present invention includes a combiner configured to combine a core layer signal and an enhanced layer signal at different power levels, and a time interleaver configured to perform interleaving applied to both the core layer signal and the enhanced layer signal.

A decoding device includes: a BP decoder that performs BP decoding on an input signal; a maximum likelihood decoder that performs maximum likelihood decoding on a signal subjected to the BP decoding; and a selector that selects one of the input signal, the signal subjected to the BP decoding, and a signal subjected to the maximum likelihood decoding. In a configuration of the decoding device, when a decoder is appropriately operated according to quality of data, a calculation scale can be reduced, and power consumption can be decreased.

A system for software error-correcting code (ECC) protection or compression of original data using ECC data in a first memory is provided. The system includes a processing core for executing computer instructions and accessing data from a main memory, and a non-volatile storage medium for storing the computer instructions. The software ECC protection or compression includes: a data matrix for holding the original data in the first memory; a check matrix for holding the ECC data in the first memory; an encoding matrix for holding first factors in the main memory, the first factors being for encoding the original data into the ECC data; and a thread for executing on the processing core. The thread includes a Galois Field multiplier for multiplying entries of the data matrix by an entry of the encoding matrix, and a sequencer for ordering operations using the Galois Field multiplier to generate the ECC data.

An accelerated erasure coding system includes a processing core for executing computer instructions and accessing data from a main memory, and a non-volatile storage medium for storing the computer instructions. The processing core, storage medium, and computer instructions are configured to implement an erasure coding system, which includes: a data matrix for holding original data in the main memory; a check matrix for holding check data in the main memory; an encoding matrix for holding first factors in the main memory, the first factors being for encoding the original data into the check data; and a thread for executing on the processing core. The thread includes: a parallel multiplier for concurrently multiplying multiple entries of the data matrix by a single entry of the encoding matrix; and a first sequencer for ordering operations through the data matrix and the encoding matrix using the parallel multiplier to generate the check data.

Aspects of the present disclosure are directed to decoding signals susceptible to communication errors. As may be implemented in accordance with one or more embodiments, an input signal is decoded to produce a first decoded output, which is subsequently encoded, and error characteristics of the encoded first decoded output are assessed. The input signal is again decoded (e.g., with a delay), using the encoded first decoded output and the assessed error characteristics thereof to assess a reliability characteristic of bits in the input signal. A second decoded output is then provided with errors corrected therein based on the assessed reliability characteristic.

An apparatus and method for multiplexing signals using layered division multiplexing are disclosed. A signal multiplexing apparatus according to an embodiment of the present invention includes a combiner configured to combine a core layer signal and an enhanced layer signal at different power levels, and a time interleaver configured to perform interleaving applied to both the core layer signal and the enhanced layer signal.

Aspects of the present disclosure are directed to decoding signals susceptible to communication errors. As may be implemented in accordance with one or more embodiments, an input signal is decoded to produce a first decoded output, which is subsequently encoded, and error characteristics of the encoded first decoded output are assessed. The input signal is again decoded (e.g., with a delay), using the encoded first decoded output and the assessed error characteristics thereof to assess a reliability characteristic of bits in the input signal. A second decoded output is then provided with errors corrected therein based on the assessed reliability characteristic.

According to certain embodiments, a method is provided for generating soft information for code bits of polar codes. The method includes receiving, by a decoder of a receiver, soft information associated with coded bits from a first module of the receiver and using a tree structure of the polar code to generate updated soft information. The updated soft information is output by the decoder for use by a second module of the receiver.

An apparatus and method for multiplexing signals using layered division multiplexing are disclosed. A signal multiplexing apparatus according to an embodiment of the present invention includes a combiner configured to combine a core layer signal and an enhanced layer signal at different power levels, and a time interleaver configured to perform interleaving applied to both the core layer signal and the enhanced layer signal.

A device may receive a PDCCH signal, may decode encoded bits of the PDCCH signal to generate coded bits, may reencode the coded bits, and may calculate a detection error probability of each coded bit at an output of soft demodulation. The device may calculate a channel decoding error probability that cyclic redundancy check bits are still attached to the coded bits, and may calculate an error probability of channel reencoding, of each coded bit, due to error propagation of polar decoding and reencoding. The device may calculate a probability density of a BMR associated with the coded bits, and may calculate a threshold based on the detection error probability, the channel decoding error probability, the error probability of channel reencoding, and the probability density of a BMR. The device may determine that the PDCCH signal is invalid based on the BMR being greater than the threshold.