We consider second-order linear time-invariant systems. The objective of this paper is to present a new method for constructing a reduced system by preserving the second-order structure of the original system. This new model reduction method uses a variant of the well-known balanced truncation technique applied to second-order gramians. We also compare it with another existing technique. © 2004...

Given such a series a = ∑ γ aγt γ ∈ K and α ∈ Γ we can truncate the series at t to give the series a|α := ∑ γ<α aγt γ ∈ K. We call a|α a truncation of a; if in addition a 6= a|α (equivalently, α 6 β for some β ∈ supp a), then a|α is said to be a proper truncation of a. Thus all truncations of a are proper iff supp a is cofinal in Γ. The only proper truncation of ct with nonzero c ∈ k is 0. A su...

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This paper considers the truncation of matroids and geometric lattices. It is shown that the truncated matroid of a representable matroid is again representable. Truncation formulas are given for the coboundary and Möbius polynomial of a geometric lattice and the spectrum polynomial of a matroid, generalizing the truncation formula of the rank generating polynomial of a matroid by Britz. Mathem...

A bound is derived and analyzed for the bit error rate (BER) of a Viterbi decoder with survivor truncation. Estimates of the SNR loss on the AWGN channel, due to truncation are obtained for convolutional codes. Larger truncation lengths are required than the smallest value that does not effectively decrease the code’s free distance, especially at low Eb/No.

1. Evidence for feet and their internal structure • typological evidence: rhythmical grouping properties found across languages e. • templatic morphology as in reduplication, truncation etc.: assumed to correspond to metrical feet

This paper investigates the influence of varying segmental structures on the realizations of utterance-final rising and falling intonation contours. Following Grabe’s study on adjustment strategies in German, i.e. truncation and compression, a similar experiment was carried out, using materials with decreasing stretches of voicing in questions, lists, and statements. However, the results presen...