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A general formulation of error matrices (Corresp.)

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A general definition of error metrics is given, based on a distance functionmu(a, b)for symbols of the code alphabet, and extended to entire codewords by a Lebesgue normL_{alpha}. It is shown that error metrics considered by Hamming, Lee, Shannon, and Stein are special cases, and a geometric interpretation of the "error spheres" for these metrics is presented.

Published in:

Information Theory, IEEE Transactions on  (Volume:15 ,  Issue: 3 )

Date of Publication:

May 1969

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