An analytical derivation of quantization error in filter banks using additive and signal dependent noise models is presented. The coding gain over PCM is derived for both noise models. Interesting properties of coding gain in optimized filter banks with an AR(1) input signal model, asymptotic performance of multirate systems, and the analytical constraints required to achieve such performance a...

This paper proposes a new frame synchronizer that can achieve frame sync in presence of frequency offset. In particular, a maximum likelihood (ML) algorithm for joint frame synchronization, frequency and channel estimation is developed. Its derivation starts with the assumption of additive white Gaussian noise (AWGN) channels, but the results is extended to frequency selective channels. It is s...

We consider valued fields with a distinguished isometry or contractive derivation as valued modules over the Ore ring of difference operators. Under certain assumptions on the residue field, we prove quantifier elimination first in the pure module language, then in that language augmented with a chain of additive subgroups, and finally in a two-sorted language with a valuation map. We apply qua...

The Local Linearization (LL) approach for the numerical solution of stochastic differential equations (SDEs) is extended to general scalar SDEs, as well as to non-antonomous multidimensional SDEs with additive noise. In case of autonomous SDEs, the derivation of the method introduced gives theoretical support to one of the previously proposed variants of the LL approach. Some numerical examples...

This paper considers the model of an arbitrary distributed signal x observed in additive Gaussian noise w, y = x + w. New relations between the minimal mean square error of the non-causal estimator and the likelihood ratio between y and w are derived. These results are applied to prove an extended version of a recently derived relation between the mutual information I(x, y) and the minimal mean...

Speakers of a language can construct an unlimited number of new words through morphological derivation. This is a major cause of data sparseness for corpus-based approaches to lexical semantics, such as distributional semantic models of word meaning. We adapt compositional methods originally developed for phrases to the task of deriving the distributional meaning of morphologically complex word...

We develop the theory of higher prolongations of algebraic varieties over fields in arbitrary characteristic with commuting Hasse-Schmidt derivations. Prolongations were introduced by A. Buium in the context of fields of characteristic 0 with a single derivation. We give a new construction of higher prolongations in a more general context, inspired by work of P. Vojta. Generalizing a result of ...

Let A be a factor von Neumann algebra and ? preserve n-tuple new product derivations on A, that is, for every A1,A2,... ,An ?(A1 A2 ?...? An) = ?(A1) An + A1 ?(A2) ?... ... ?(An) where Ai ?Aj A*iAj ?A*jAi i,j N, then is additive *-derivation, the condition ?(?I/2) self-adjoint operator {1,i}.