Joint Encoding and Decoding Optimization of LT Codes over Noise Channels

Decoding Ldpc Codes over Binary Channels with Additive Markov Noise

We study the design of a belief propagation decoder for lowdensity parity check (LDPC) codes over binary channels with additive M th-order Markov noise, specifically the queuebased channel (QBC) [1]. The decoder is an extension of the sum product algorithm (SPA) for the case of memoryless channels and is similar to the one developed for the GilbertElliot channel [2, 3, 4]. Simulation results of...

Performance Analysis and Improvement of LT Codes over AWGN Channels

LT codes, the first universal erasure-correcting codes, have near-optimal performance over binary erasure channels for any erasure probability, but exhibit high bit error rate and error floor over the noisy channels. This paper investigated the performance of LT codes over the additive white Gaussian noise channels. We designed the systematic LT codes through reconstructing the bipartite graph ...

Joint Iterative Decoding of LDPC Codes and Channels with Memory

Joint Successive Cancellation Decoding of Polar Codes over Intersymbol Interference Channels

Polar codes are a class of capacity-achieving codes for the binary-input discrete memoryless channels (B-DMCs). However, when applied in channels with intersymbol interference (ISI), the codes may perform poorly with BCJR equalization and conventional decoding methods. To deal with the ISI problem, in this paper a new joint successive cancellation (SC) decoding algorithm is proposed for polar c...

Iterative decoding of turbo product codes over PR-equalized Lorentzian channels with colored noise

Following the trend of turbo codes and low density parity check (LDPC) codes, single-parity turbo product codes (TPC/SPC) are being seriously considered for application in future high-density recording systems. Recent work on TPC/SPC codes has focused on ideal partial response channels with additive white Gaussian noise. This work extends the investigation to a more realistic equalized Lorentzi...