Synthesis of Nyquist’s Filters in the Time Domain
E. Hermanis · Elektronika ir Elektrotechnika · 2005
This research paper deals with the synthesis of Nyquist’s filters in the time domain presenting the filter’s time characteristics with a series of basis functions. This synthesis is devised for filters that respond to the unit pulse with a Nyquist’s reaction. For the synthesis of a filter in the time domain a base circuit series is used. The responses of it’s links to the input signal are lineally independent step processes. The suitability of a base is evaluated by these two criteria: 1) Bessel's inequality for the biorthogonal functions, 2) The trace of the Gram matrix, that characterizes the sensitivity of a filter to the scattering of parameters. Ill. 6, bibl. 5 (in English; summaries in Lithuanian, English and Russian).