Rate matching method and apparatus for polar code
Provided is a rate matching method and device for a Polar code. The method includes: concatenating K information bits and (N−K) frozen bits to generate a bit sequence of N bits, and encoding the bit sequence of N bits by means of a Polar code encoder with a generator matrix of size N×N to generate an initial bit sequence {S 0 , S 1 , . . . , S N−1 } of N bits, where K and N are both positive integers and K is less than or equal to N; dividing a circular buffer into q parts, selecting bits from the initial bit sequence {S 0 , S 1 , . . . , S N−1 } in a non-repeated manner, and writing the bits into the q parts of the circular buffer according to a predefined rule, where q=1, 2, 3 or 4; and sequentially selecting a bit sequence of a specified length from a predefined starting position in a bit sequence in the circular buffer and taking the bit sequence of the specified length as a bit sequence to be transmitted.
1. A rate matching method for a Polar code, comprising:
generating a bit sequence of N bits from K information bits and (N−K) frozen bits, and encoding the bit sequence of N bits by means of a Polar code encoder with a generator matrix of size N×N to generate an initial bit sequence {S 0 , S 1 , . . . , S N−1 } of N bits, wherein K and N are both positive integers and K is less than or equal to N;
selecting bits from the initial bit sequence {S 0 , S 1 , . . . , S N−1 } in a non-repeated manner and writing the bits into a circular buffer; and
generating a bit sequence of a specified length for transmission from the bits in the circular buffer based on a predefined starting position in the circular buffer,
wherein the writing the bits into the circular buffer comprises writing the bits into the circular buffer based on a predefined rule, wherein the predefined rule is determined by a one-to-one mapping interleaving function f(n) generated according to a data characteristic of the Polar code, wherein n=0, 1, . . . , N−1, f(n)=0, 1, . . . , N−1, n is a bit position index in the initial bit sequence, and f(n) is a position index in the circular buffer, and
wherein, in response to a code rate that is less than or equal to a predefined threshold, a position of P 0 =N−M in the circular buffer is taken as the predefined starting position, wherein P 0 represents a position index of the bit sequence in the circular buffer, M is a length of the bit sequence to be transmitted, and N is a length of the initial bit sequence.
2. The method of claim 1 , wherein the generating the bit sequence of the specified length for transmission from the bits in the circular buffer based on the predefined starting position in the circular buffer comprises:
sequentially selecting bits in an ascending order of indexes from a predefined position in the bit sequence in the circular buffer,
reading from the predefined position to a first end of the bit sequence in the circular buffer, and
continuing the reading from a second end of the bit sequence in the circular buffer until the bit sequence of the specified length is read.
3. An apparatus for rate matching for a Polar code, comprising:
a processor; and
a non-transitory memory with instructions thereon, wherein the instructions upon execution by the processor cause the processor to:
generate a bit sequence of N bits from K information bits and (N−K) frozen bits, and encode the bit sequence of N bits by means of a Polar code encoder with a generator matrix of size N×N to generate an initial bit sequence {S 0 , S 1 , . . . , S N−1 } of N bits, wherein K and N are both positive integers and K is less than or equal to N;
select bits from the initial bit sequence {S 0 , S 1 , . . . , S N−1 } in a non-repeated manner and write the bits into a circular buffer; and
generate a bit sequence of a specified length for transmission from the bits in the circular buffer based on a predefined starting position in the circular buffer,
wherein the writing the bits into the circular buffer comprises writing the bits into the circular buffer based on a predefined rule, wherein the predefined rule is determined by a one-to-one mapping interleaving function f(n) generated according to a data characteristic of the Polar code, wherein n=0, 1, . . . , N−1, f(n)=0, 1, . . . , N−1, n is a bit position index in the initial bit sequence, and f(n) is a position index in the circular buffer, and
wherein, in response to a code rate that is less than or equal to a predefined threshold, a position of P 0 =N−M in the circular buffer is taken as the predefined starting position, wherein P 0 represents a position index of the bit sequence in the circular buffer, M is a length of the bit sequence to be transmitted, and N is a length of the initial bit sequence.
4. The apparatus of claim 3 , wherein the instructions upon execution by the processor further cause the processor, as part of generating the bit sequence of the specified length for transmission from the bits in the circular buffer based on the predefined starting position in the circular buffer, to:
sequentially select bits in an ascending order of indexes from the predefined position in the bit sequence in the circular buffer,
read from the predefined position to a first end of the bit sequence in the circular buffer, and
continue to read from a second end of the bit sequence in the circular buffer until the bit sequence of the specified length is read.
5. A computer-readable storage medium comprising instructions which, when executed by a computing system, cause the computing system to carry out a method, comprising:
generating a bit sequence of N bits from K information bits and (N−K) frozen bits, and encoding the bit sequence of N bits by means of a Polar code encoder with a generator matrix of size N×N to generate an initial bit sequence {S 0 , S 1 , . . . , S N−1 } of N bits, wherein K and N are both positive integers and K is less than or equal to N;
selecting bits from the initial bit sequence {S 0 , S 1 , . . . , S N−1 } in a non-repeated manner and writing the bits into a circular buffer; and
generating a bit sequence of a specified length for transmission from the bits in the circular buffer based on a predefined starting position in the circular buffer,
wherein the writing the bits into the circular buffer comprises writing the bits into the circular buffer based on a predefined rule, wherein the predefined rule is determined by a one-to-one mapping interleaving function f(n) generated according to a data characteristic of the Polar code, wherein n=0, 1, . . . , N−1, f(n)=0, 1, . . . , N−1, n is a bit position index in the initial bit sequence, and f(n) is a position index in the circular buffer, and
wherein, in response to a code rate that is less than or equal to a predefined threshold, a position of P 0 =N−M in the circular buffer is taken as the predefined starting position, wherein P 0 represents a position index of the bit sequence in the circular buffer, M is a length of the bit sequence to be transmitted, and N is a length of the initial bit sequence.
6. The computer-readable storage medium of claim 5 , wherein the generating the bit sequence of the specified length for transmission from the bits in the circular buffer based on the predefined starting position in the circular buffer comprises:
sequentially selecting bits in an ascending order of indexes from a predefined position in the bit sequence in the circular buffer,
reading from the predefined position to a first end of the bit sequence in the circular buffer, and
continuing the reading from a second end of the bit sequence in the circular buffer until the bit sequence of the specified length is read.