Rate Compatible Low-Density Parity-Check Codes Based on Progressively Increased Column Weights

Abstract

Effective and simply realizable rate compatible low-density parity-check (LDPC) codes are proposed. A parity check matrix is constructed with the progressively increased column weights (PICW) order and adopted to achieve a punctured LDPC coding scheme for a wide range of the code rates of the rate compatible systems. Using the proposed rate compatible punctured LDPC codes, low complex adaptive communication systems, such as wireless communication systems, can be achieved with the reliable transmissions.