Title :
Orthonormal expansion of stable rational transfer functions
Author :
Xiaoning Nie ; Unbehauen, R.
Author_Institution :
Lehrstuhl fur Allgemeine und Theor. Elecktrotech., Erlangen-Nurnberg Univ., Germany
Abstract :
It is shown that the transfer function of any stable recursive digital filter can be developed as an orthogonal (orthonormal) expansion with N functions where N is the order of the transfer function. This fact is particularly useful for structurally passive realisations of arbitrary recursive digital filters.
Keywords :
digital filters; filtering and prediction theory; stability; transfer functions; recursive digital filter; stable rational transfer functions; structurally passive realisations;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19910934