Maciej Siwczyński
Czasopismo Techniczne, Volume 1 Year 2017 (114), 2017, s. 101 - 112
https://doi.org/10.4467/2353737XCT.17.008.6105The paper presents the relation between the three types of noncausal digital filters: unitary, Hermitian and antihermitian filters. A decomposition has been made of a causal filter into a Hermitian and unitary filter cascade, and the use of this decomposition to calculate the electric power quality of receivers has been highlighted. Reference has also been made to the analogy between the set of unitary filters and the unit circle in the Gaussian plane.
Maciej Siwczyński
Czasopismo Techniczne, Mechanika Zeszyt 4-M (26) 2015, 2015, s. 117 - 122
https://doi.org/10.4467/2353737XCT.15.342.4863In dynamic linear systems described by differential equations with constant parameters, the poles of the rational function (transfer function of the system) play an important role. This article attempts to expand the poles concept in a situation where the system is described by the N-th order linear system with time-varying parameters. It then introduces the concept of characteristic equations and time-dependent poles.
Maciej Siwczyński
Czasopismo Techniczne, Mechanika Zeszyt 4-M (26) 2015, 2015, s. 123 - 130
https://doi.org/10.4467/2353737XCT.15.343.4864In dynamic linear systems described by differential equations with constant parameters, the poles of the rational function (transfer function of the system) play an important role. This article attempts to expand the poles concept in a situation where the system is described by the second-order linear system with timevarying parameters. It then introduces the concept of characteristic equations and time-dependent poles.