Turbo Analog Error Correcting Codes Decodable By Linear Programming

Details Turbo Analog Error Correcting Codes Decodable By Linear Programming Turbo Analog Error Correcting Codes Decodable By Linear Programming

2009-12-21

arxiv.org/abs/0912.4289v2

Computer Science

Information Theory

Scientific paper

In this paper we present a new Turbo analog error correcting coding scheme for real valued signals that are corrupted by impulsive noise. This Turbo code improves Donoho's deterministic construction by using a probabilistic approach. More specifically, our construction corrects more errors than the matrices of Donoho by allowing a vanishingly small probability of error (with the increase in block size). The problem of decoding the long block code is decoupled into two sets of parallel Linear Programming problems. This leads to a significant reduction in decoding complexity as compared to one-step Linear Programming decoding.

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