Revisiting the calculation of effective free distance of turbo codes

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Revisiting the calculation of effective free distance of turbo codes

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© The Institution of Engineering and Technology
Published

The expression for the minimum Hamming weight of the output of a constituent convolutional encoder, when its input is a weight-2 sequence is revisited. The new expression particularly facilitates the calculation of the effective free distance of recently proposed schemes, namely non-systematic turbo codes and pseudo-randomly punctured turbo codes.

Inspec keywords: convolutional codes; turbo codes

Other keywords: pseudo-randomly punctured turbo codes; minimum Hamming weight; nonsystematic turbo codes; convolutional encoder

Subjects: Codes

References

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      • L.C. Perez , J. Seghers , D.J. Costello . A distance spectrum interpretation of turbo codes. IEEE Trans. Inf. Thoery. , 1698 - 1709
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      • Berrou, C., Glavieux, A., Thitimajshima, P.: `Near Shannon limit error-correcting coding and decoding: turbo-codes', Proc. ICC, May 1993, Geneva, Switzerland.
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      • Chatzigeorgiou, I., Rodrigues, M.R.D., Wassell, I.J., Carrasco, R.: `A union bound approximation for rapid performance evaluation of punctured turbo codes', Proc. CISS, March 2007, Baltimore, MD, USA.
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      • Chatzigeorgiou, I., Rodrigues, M.R.D., Wassell, I.J., Carrasco, R.: `Pseudo-random puncturing: a technique to lower the error floor of turbo codes', Proc. ISIT, June 2007, Nice, France.
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      • Yoscovich, I., Snyders, J.: `On the effective free distance of turbo codes', Proc. ITW, June 1998, Killarney, Ireland.
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