An Extended Generalized Minimum Distance Decoding for Binary Linear Codes on a 4-Level Quantization over an AWGN Channel
Shunsuke Ueda, Ken Ikuta, Takuya Kusaka, Md. Al-Amin Khandaker, Md. Arshad Ali, Yasuyuki Nogami · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2018
Generalized Minimum Distance (GMD) decoding is a well-known soft-decision decoding for linear codes. Previous research on GMD decoding focused mainly on unquantized AWGN channels with BPSK signaling for binary linear codes. In this paper, a study on the design of a 4-level uniform quantizer for GMD decoding is given. In addition, an extended version of a GMD decoding algorithm for a 4-level quantizer is proposed, and the effectiveness of the proposed decoding is shown by simulation.