We propose (k,k') stabilizing codes, which is a type of delayless error correction codes that are useful for control over networks with erasures. For each input symbol, k output symbols are generated by the stabilizing code. Receiving any k' of these outputs guarantees stability. Thus, the system to be stabilized is taken into account in the design of the erasure codes. Our focus is on LTI systems, and we construct codes based on independent encodings and multiple descriptions. The theoretical efficiency and performance of the codes are assessed, and their practical performances are demonstrated in a simulation study. There is a significant gain over other delayless codes such as repetition codes.
翻译:我们提出(k,k”)稳定代码,这是一种无拖延的错误校正代码,可用于控制带有删除的网络。对于每个输入符号,K输出符号由稳定代码生成。接收这些输出的 k 保证稳定性。因此,在删除代码的设计中将考虑到要稳定的系统。我们的重点是LTI系统,我们根据独立的编码和多个描述来构建代码。对代码的理论效率和性能进行了评估,并在模拟研究中展示了它们的实际性能。比重复代码等其他无延迟的代码有很大的收益。