Showing papers on "Lossless compression published in 1968"
2 citations
TL;DR: In this paper, it was shown that an approximation of LC components by means of lossless transmission lines is equivalent to the choice of a "trapezoidal" rule of a numerical integration.
Abstract: The letter is concerned with time-discrete networks characterised by difference relations. It is shown that a time-discrete network can be defined as an interconnection of lossless transmission lines and multiple parallel transmission lines, resistors and voltage- and current-sequence sources. An approximation of LC components by means of lossless transmission lines is equivalent to the choice of a ‘trapezoidal’ rule of a numerical integration.
1 citations
1 citations
01 Feb 1968
TL;DR: In this article, it was shown that if P(s) is system-equivalent to a lossless positive-real matrix, G(m) is lossless-positive-real and P(m, n) has least order, then P(n, m) is a system matrix similar to a non-negative positive real matrix.
Abstract: Let P(s) be a system matrix in first form giving rise to a transfer-function matrix G(s). It is proved that, if P(s) is system-equivalent to a lossless positive-real matrix, G(s) is lossless positive-real, while, if G(s) is lossless positive-real and P(s) has least order, P(s) is system-similar to a lossless positive-real matrix. The extensions to system matrices in second and third forms are given.