Gallager and Van Voorhis have found optimal prefix-free codes κ(K) for a random variable K that is geometrically distributed: Pr[K = k] = p(1 − p) for k ≥ 0. We determine the asymptotic behavior of the expected length Ex[#κ(K)] of these codes as p → 0: Ex[#κ(K)] = log2 1 p + log2 log 2 + 2 + f ( log2 1 p + log2 log 2 )

In this paper, an approach based on the U statistic is first proposed to eliminate the effect of between profile autocorrelation of error terms in Phase-II monitoring of general linear profiles. Then, a control chart based on the adjusted parameter estimates is designed to monitor the parameters of the model. The performance of the proposed method is compared with the ones of some existing meth...

A general method of constructing run-length limited ( , ) constrained codes from arbitrary sequences is introduced. This method is then combined with the method of guided scrambling for constructing a class of weakly constrained codes. The proposed codes are analyzed for the case of = 0 and are shown to give results which are better or comparable to those of the best available codes, however, a...

A new technique for determining carrier diffusion lengths in direct gap semiconductors by cathodoluminescence measurement is presented. Ambipolar diffusion lengths are determined for GaAs quantum well material, bulk GaAs, and AlzGa1-zAs with x up to 0.38. A large increase in the diffusion length is found as x approaches 0.38 and is attributed to an order of magnitude increase in lifetime.