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A linear bound for sliding-block decoder window size. II

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1 Author(s)
Ashley, J.J. ; IBM Res. Div., Almaden Res. Center, San Jose, CA, USA

For pt.I see ibid., vol.34, p. 389-99, 1988. An input-constrained channel is the set S of finite sequences of symbols generated by the walks on a labeled finite directed graph G (which is said to present S). We introduce a new construction of finite-state encoders for input-constrained channels. The construction is a hybrid of the state-splitting technique of Adler, Coppersmith, and Hassner (1983) and the stethering technique of Ashley, Marcus, and Roth (see ibid., vol.41, p.55-76, 1995). When S has finite memory, and p and g are integers where p/g is at most the capacity of S, the construction guarantees an encoder at rate p:g and having a sliding-block decoder (literally at rate q:p) with look-ahead that is linear in the number of states of the smallest graph G presenting S. This contrasts with previous constructions. The straight Adler, Coppersmith, and Hassner construction provides an encoder having a sliding-block decoder at rate q:p, but the best proven upper bound on the decoder look-ahead is exponential in the number of states of G. A previous construction of Ashley provides an encoder having a sliding-block decoder whose look-ahead has been proven to be linear in the number of states of G, but the decoding is at rate tq:tp, where t is linear in the number of states of G

Published in:

Information Theory, IEEE Transactions on  (Volume:42 ,  Issue: 6 )

Date of Publication:

Nov 1996

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