Polar Code Bit Group Selection for Arbitrary Transmission Lengths

The encoded bit sequence of length N is segmented into multiple groups, where each group contains a portion of the encoded bits. A bit sequence of arbitrary length R is then constructed by selecting specific groups and performing bit reversal on selected groups within each. This segmentation enables flexible length adaptation while maintaining Polar code's reliability benefits.

The patent introduces dynamic selection mechanisms where groups of encoded bits are selectively chosen based on the desired output length R. Bit reversal operations are dynamically applied to specific groups based on their indices and the target length requirement. This dynamic approach allows the system to adapt to any bit sequence length while preserving the channel capacity advantages of Polar codes.

The fixed-length encoded sequence is divided into multiple groups, enabling flexible recombination to achieve arbitrary output lengths. This segmentation maintains the efficiency of fixed-length Polar code encoding while adding adaptability through selective group composition and bit reversal operations.

The patent introduces a new dimension of flexibility by applying bit reversal operations to selected groups. This transforms the selection process from simple sequential extraction to a two-dimensional selection space involving both group selection and intra-group bit positioning, enabling arbitrary length output while maintaining encoding efficiency.