Performance Bounds and Distance Spectra of Variable Length Codes in Turbo/Concatenated Systems
(2010) IEEE Transactions on Communications — Vol. 58, n° 9, p. 2537-2548 (2010)
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- Abstract
- Variable length codes (VLCs), used in data compression, are very sensitive to error propagation in the presence of noisy channels. Addressing this problem with joint source-channel turbo techniques has been proposed in the literature and looks quite promising. But to date, most code-related conclusions are based on simulations. This paper states and proves several theoretical results about the robustness of prefix VLCs concatenated with linear error correcting codes (ECC), assuming a maximum likelihood decoder. Especially, an approximate and asymptotically tight distance spectrum of the concatenated code (VLC+ECC) is rigorously developed. Together with the union bound, it provides upper bounds on the symbol and frame/packet error rates.
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Citations
Jaspar, X., & Vandendorpe, L. (2010). Performance Bounds and Distance Spectra of Variable Length Codes in Turbo/Concatenated Systems. IEEE Transactions on Communications, 58(9), 2537-2548. https://doi.org/10.1109/TCOMM.2010.09.080451 (Original work published 2010)