A signal processing device includes: a memory; and a processor coupled to the memory and configured to: perform soft decision of a value of, among bit strings, a predetermined bit string encoded with a soft decision code from a symbol assigned to, according to each value of the bit strings, the bit strings having been subject to encoding of an outer code with a turbo product code and encoding of an inner code with the soft decision code; decode the predetermined bit string with the soft decision code on a basis of a result of the soft decision; individually perform, from the symbol, the soft decision of a value of each bit string other than the predetermined bit string among the bit strings; and decode the bit strings with the turbo product code on a basis of a result of the decoding and a result of the soft decision.

Systems and methods are provided for decoding data read from non-volatile storage devices. A method that may include decoding a first codeword read from a storage location of a non-volatile storage device using a first decoder without soft information, determining that the first decoder has failed to decode the first codeword, decoding the first codeword using a second decoder without soft information, determining that the second decoder has succeeded in decoding the first codeword, generating soft information associated with the storage location using decoding information generated by the second decoder and decoding a subsequent codeword from the storage location using the soft information associated with the storage location. The second decoder may be more powerful than the first decoder.

A transmitter is provided. The transmitter includes: an outer encoder configured to encode input bits to generate outer-encoded bits including the input bits and parity bits; a zero padder configured to generate a plurality of bit groups each of which is formed of a same number of bits, determine whether a number of the outer-encoded bits satisfies a predetermined number of bits required according to at least one of a code rate and a code length for Low Density Parity Check (LDPC) encoding, pads zero bits to some of the bits in the bit groups if the number of the outer-encoded bits is less than the predetermined number of bits, and maps the outer-encoded bits to remaining bits in the bit groups, based on a predetermined shortening pattern, thereby to constitute LDPC information bits; and an LDPC encoder configured to encode the LDPC information bits, wherein the some of the bits, in which zero bits are padded, are included in some of the bit groups which are not sequentially disposed in the LDPC information bits.

A zero padding apparatus and method for variable length signaling information are disclosed. A zero padding apparatus according to an embodiment of the present invention includes a processor configured to generate a LDPC information bit string by deciding a number of groups whose all bits are to be filled with 0 using a difference between a length of the LDPC information bit string and a length of a BCH-encoded bit string, selecting the groups using a shortening pattern order to fill all the bits of the groups with 0, and filling at least a part of remaining groups, which are not filled with 0, with the BCH-encoded bit string; and memory configured to provide the LDPC information bit string to an LDPC encoder.

A parity interleaving apparatus and method for fixed length signaling information are disclosed. A parity interleaving apparatus according to an embodiment of the present invention includes a processor configured to generate a parity bit string for parity puncturing by segmenting parity bits of an LDPC codeword whose length is 16200 and whose code rate is 3/15, into a plurality of groups, and group-wise interleaving the groups using an order of group-wise interleaving; and memory configured to provide the parity bit string for parity puncturing to a parity puncturing unit.

The disclosure relates to a fifth generation (5G) or sixth generation (6G) communication system for supporting a higher data transmission rate. An encoding apparatus may obtain state-indicator information indicating a state of each of bits included in the polar code based on an index set of the bits, identify a weak-bit or a second weak-bit corresponding to a parity bit candidate position preset according to an interconnection within a parity-check (PC)-chain of the polar code and between PC-chains of the polar code as a parity bit, based on a number of weak-bits determined according to the state-indicator information and a number of bits to be used as parity bits, and obtain a polar code including the identified parity bit.

A transmitter is provided. The transmitter includes: an outer encoder configured to encode input bits to generate outer-encoded bits including the input bits and parity bits; a zero padder configured to constitute Low Density Parity Check (LDPC) information bits including the outer-encoded bits and zero bits; and an LDPC encoder configured to encode the LDPC information bits, wherein the LDPC information bits are divided into a plurality of bit groups, and wherein the zero padder pads zero bits to at least some of the plurality of bit groups, each of which is formed of a same number of bits, to constitute the LDPC information bits based on a predetermined shortening pattern which provides that the some of the plurality of bit groups are not sequentially disposed in the LDPC information bits.

A transmitter is provided. The transmitter includes: an outer encoder configured to encode input bits to generate outer-encoded bits including the input bits and parity bits; a zero padder configured to generate a plurality of bit groups each of which is formed of a same number of bits, maps the outer-encoded bits to some of the bits in the bit groups, and pads zero bits to remaining bits in the bit groups, based on a predetermined shortening pattern, thereby to constitute Low Density Parity Check (LDPC) information bits; and an LDPC encoder configured to encode the LDPC information bits, wherein the remaining bits in which zero bits are padded include some of the bit groups which are not sequentially disposed in the LDPC information bits.

A parity puncturing apparatus and method for variable length signaling information are disclosed. A parity puncturing apparatus according to an embodiment of the present invention includes memory configured to provide a parity bit string for parity puncturing for the parity bits of an LDPC codeword whose length is 16200 and whose code rate is 3/15, and a processor configured to puncture a number of bits corresponding to a final puncturing size from the rear side of the parity bit string.

A transmitting apparatus and a receiving apparatus are provided. The transmitting apparatus includes an encoder configured to generate a low density parity check (LDPC) codeword by performing LDPC encoding, an interleaver configured to interleave the LDPC codeword, and a modulator configured to modulate the interleaved LDPC codeword according to a modulation method to generate a modulation symbol. The interleaver performs interleaving by dividing the LDPC codeword into a plurality of groups, rearranging an order of the plurality of groups in group units, and dividing the plurality of rearranged groups based on a modulation order according to the modulation method.