Reliability Ratio Weighted Bit Flipping– Sum Product Algorithm for Regular LDPC Codes

¹ Engineering Sciences Laboratory, Sidi Mohamed Ben Abdellah University, Fez, Morocco
² Laboratory of Mathematics and informatics Engineering, Ibn Zohr University, Agadir, Morocco

^* Aqil Chakir: chakir.aqil@usmba.ac.ma

Abstract

In this work, we introduce a novel decoding algorithm named “Reliability Ratio Weighted Bit Flipping–Sum Product” (RRWBFSP) is proposed for regular LDPC codes. “Sum Product” [4] and “Reliability Ratio Weighted Bit Flipping” [6] are two separate methods that are combined in the new algorithm. The simulations show novel algorithm to exceed Sum-Product decoding algorithms by 0.34 dB. In addition, when compared to the Sum-Product, the RRWBFSP approach has about the same computational complexity. Thus, LDPC codes, of which the “Double-Orthogonal Convolutional Recursive” (RCDO) subfamily is envisioned for use in electronic hard disks and mobile terminals, can be easily iteratively decoded. This would have the impact of prolonging the life of the batteries and consequently reducing the ecological footprint of the discarded batteries.