This note describes the Welch-Lynch fault-tolerant algorithm for clock synchronization. The original proof given by Welch and Lynch shows that the clocks of non-faulty nodes are maintained in approximate agreement. The worst-case skew is bounded by a constant which depends on network and algorithm parameters. We give a simpli ed proof of correctness and obtain tight synchronization bounds.

This paper describes how we can use the generalized BaumWelch (GBW) algorithm to develop better extended BaumWelch (EBW) algorithms. Based on GBW, we show that the backoff term in the EBW algorithm comes from KL-divergence which is used as a regularization function. This finding allows us to develop a fast EBW algorithm, which can reduce the time of model space discriminative training by half, ...

The Welch lower bound on the total-squared-correlation (TSC) of binary signature sets is loose for binary signature sets whose length L is not a multiple of 4. Recently Karystinos and Pados developed new bounds that are better than the Welch bound in those cases, and showed how to achieve the bounds with modiied Hadamard matrices except in a couple of cases. In this paper, we study the open cases.

The results of 3 experiments in Costas arrays are presented, for which theoretical explanation is still not available: the number of dots on the main diagonal of exponential Welch arrays, the parity populations of Golomb arrays generated in fields of characteristic 2, and the maximal cross-correlation between pairs of Welch or Golomb arrays generated in fields of size equal to a Sophie Germain ...

A robustness study to investigate the performance of six procedures for comparing two or more groups, under several circumstances, has been carried out. The study was divided in four parts. The first three were Monte-Carlo studies, and the fourth was a study on empirical data. The six procedures were the ANOVA (or its special case, the Student's t) procedure (1), the Satterthwaite (or its speci...

The sunspot number time series was used to examine different methods of the periodogram as a spectrum estimator. The periodogram was used as the benchmark to compare the results of the sunspot cycle period estimate to the modified periodogram, the Blackman-Tukey method of periodogram smoothing, the Welch-Bartlett method of periodogram averaging and the Multitaper method. The Welch-Bartlett meth...