Title :
Control procedure for approximate symbolic analysis of frequency-selective circuits
Author :
Kolka, Zdenek ; Biolkova, Viera ; Kincl, Zdenek
Author_Institution :
Dept. of Radio Electron., Brno Univ. of Technol., Brno, Czech Republic
Abstract :
The paper deals with a control mechanism for approximate symbolic analysis of the Simplification-Before-Generation class with the emphasis on frequency-selective circuits. The traditional approach consists in the evaluation of errors caused by simplification by means of comparing magnitude and phase responses with a reference solution on a set of fixed frequencies. This approach is sufficient for broadband circuits but may fail for frequency filters. The paper describes a modified procedure that uses an error criterion based on shifts of poles and zeros in the complex plane. As the direct solution of the generalized eigenvalue problem is computationally expensive, an alternative method based on Jacobi-Davison iterations is used.
Keywords :
approximation theory; eigenvalues and eigenfunctions; error analysis; filters; iterative methods; linear network analysis; poles and zeros; Jacobi-Davison iterations method; approximate symbolic analysis; broadband circuits; control mechanism; error criterion; errors evaluation; frequency filters; frequency-selective circuits; generalized eigenvalue problem; magnitude responses; phase responses; poles and zeros shifts; reference solution; simplification-before-generation class; Analog integrated circuits; Approximation methods; Eigenvalues and eigenfunctions; Frequency control; Jacobian matrices; Low pass filters; Poles and zeros; Symbolic analysis; eigenvalues; error prediction; linear circuits; simplification;
Conference_Titel :
Radioelektronika (RADIOELEKTRONIKA), 2012 22nd International Conference
Conference_Location :
Brno
Print_ISBN :
978-1-4673-0659-1
