Title :
Optimality conditions for a specific class of truncated Kautz series
Author :
Brinker, Albertus C den
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol., Netherlands
fDate :
8/1/1996 12:00:00 AM
Abstract :
Kautz functions constitute a basis in L2 and can be used for filter synthesis starting from a prescribed transient response. In a practical situation, only truncated series are used and thus the speed of convergence of such series is of importance. This convergence speed is a function of the parameters. The Kautz functions that are considered can be generated by a line of identical Nth-order allpass sections. The optimality conditions for the parameters of this specific class of truncated Kautz series are established solely on the basis of the orthonormality and the polynomial character of the basis functions
Keywords :
all-pass filters; convergence; filtering theory; network synthesis; series (mathematics); transient response; Kautz function; L2 basis functions; allpass filter; convergence; filter synthesis; optimality conditions; orthonormality; polynomial; transient response; truncated Kautz series; Adaptive filters; Convergence; Filter bank; Frequency synthesizers; Laplace equations; Network synthesis; Polynomials; Signal analysis; Signal synthesis; Transient response;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
