Improved LR algorithm for computation of the approximate symbolic pole/zero expressions

Author

Gheorghe, Alexandru Gabriel ; Constantinescu, Florin ; Nitescu, Miruna

Author_Institution

Dept. of Electron., Tech. Univ. “Gh. Asachi”, Iasi, Romania

fYear

2013

fDate

9-12 Sept. 2013

Firstpage

1

Lastpage

4

Abstract

The following improvements are made to the symbolic LR algorithm for the computation of the approximate pole/zero expressions: formulation of the “state-like” matrix in the case d=0 in the output equation by the implementation of the Sandberg-So and Davison algorithms, using of matrices so that their diagonal elements are not placed in the decreasing order of their modules, replacing the search for the eigenvalue clusters with the elimination of one or two line and column pair during symbolic LR iterations. The zero symbolic expressions in term of transistor parameters for a LNA in the 900 MHz band illustrates these improvements. The proposed algorithm is similar or better with respect to the best ones implemented in ANALOG INSYDES and SYMBA software packages.

Keywords

iterative methods; low noise amplifiers; matrix algebra; poles and zeros; transistors; Davison algorithm; LNA; Sandberg-So algorithm; approximate symbolic pole/zero expressions; column pair; diagonal elements; eigenvalue clusters; frequency 900 MHz; state-like matrix; symbolic LR algorithm; symbolic LR iterations; transistor parameters; zero symbolic expressions; Algorithm design and analysis; Approximation algorithms; Clustering algorithms; Computers; Eigenvalues and eigenfunctions; Equations; Poles and zeros; LR iterations; approximate symbolic expressions; pole/zero computation;

fLanguage

English

Publisher

ieee

Conference_Titel

AFRICON, 2013

Conference_Location

Pointe-Aux-Piments

ISSN

2153-0025

Print_ISBN

978-1-4673-5940-5

Type

conf

DOI

10.1109/AFRCON.2013.6757796

Filename

6757796