Analysis and Design of Systematic Rateless Codes in FH/BFSK System with Interference

Abstract

e asymptotic analysis of systematic rateless codes in frequency hopping (FH) systems with interference is first provided using discretized density evolution (DDE) and compared with the traditional fixed-rate scheme. A simplified analysis with Gaussian assumption of initial message is proposed in the worst case of interference, which has much lower complexity and provides a very close result to DDE. Based on this simplified analysis, the linear programming is employed to design rateless codes and the simulation results on partial-band interference channels show that the optimized codes have more powerful antijamming performance than the codes originally designed for conventional systems.

An Efficient Design of Systematic Rateless Codes

“…The EXIT chart has the same calculation complexity as GA-mean since both are one-dimensional analysis, but the former may provide asymptotic results closer to DDE, which have been shown in the analysis of LDPC codes [16] and SR codes [17]. As the EXIT chart is also based on Gaussian approximation and the tracking variable in decoding iteration is mutual information, we refer it as Gaussian approximation based on mutual information (GA-MI) in the following.…”