Channel Code Analysis and Design Using Multiple Variable-Length Codes in Parallel without Feedback

Haobo Wang, Richard D. Wesel · 2018

This paper considers a channel coding paradigm that enables high throughput by using many variable-length codes in parallel, where each of the parallel codes has a short average blocklength. The inter-frame coding of Zeineddine and Mansour provides variable- length codes with incremental redundancy from a common pool of redundancy in a way that does not require feedback. A probability- based derivation of a generalized peeling decoder extends the results of Luby et al. to the inter-frame scenario. A new expression characterizes the probability that a variable-length decoder in the inter-frame system will fail. Additionally, the three causes for throughput loss as compared to the original feedback system are identified, yielding a new and far simpler design methodology for the right degree distribution of the inter-frame code. The inter-frame paradigm can apply to any communication channel, but this paper uses the additive white Gaussian noise channel to demonstrate the concepts.

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