Proceedings ArticleDOI
FFT based algorithm for polynomial plus-minus factorization
Martin Hromcik,Michael Sebek +1 more
- pp 2213-2218
Reads0
Chats0
TLDR
A new algorithm is presented for the plus/minus factorization of a scalar discrete-time polynomial based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform, which brings high computational efficiency and reliability.Abstract:
In this report a new algorithm is presented for the plus/minus factorization of a scalar discrete-time polynomial. The method is based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform. Involving DFT computational techniques, namely the famous fast Fourier transform routine (FFT), brings high computational efficiency and reliability. The effectiveness of the proposed algorithm is demonstrated by a particular practical application. Namely the problem of computing an H 2 -optimal inverse dynamic filter to an audio equipment is considered as it was proposed by M. Sternad and colleagues in [16] to improve behavior of moderate quality loudspeakers. Involved spectral factorization can be converted into plus-minus factorization in a special case which in turn is resolved by our new method.read more
Citations
More filters
Proceedings ArticleDOI
Fast fourier transforms for reliability evaluation of smart unit energy production
TL;DR: The outcome of this work is a smart, efficient and fast probabilistic model that can be adopted as an appropriate model for an optimal economic unit loading and energy production as well as for long-range generation expansion planning.
Journal ArticleDOI
Algebraic approach to ℓ 1 -optimal control: SISO case
Zdeněk Hurák,Michael Sebek +1 more
TL;DR: In this article, a new algebraic approach to l 1 -optimal control is presented, where zero and rank interpolation conditions are replaced by noncoprimeness conditions for polynomials or polynomial matrices.
Proceedings ArticleDOI
Polynomial Toolbox 3.0: A preview and a case study
Martin Hromcik,Vladimír Kučera +1 more
TL;DR: The purpose of this paper is to introduce the upcoming Version 3 of the Polynomial Toolbox for MATLAB, and contains a case study of the H2 controller design for a MIMO fighter aircraft using the polynomial toolbox 3.0 tools.
References
More filters
Book
System Identification: Theory for the User
TL;DR: Das Buch behandelt die Systemidentifizierung in dem theoretischen Bereich, der direkte Auswirkungen auf Verstaendnis and praktische Anwendung der verschiedenen Verfahren zur IdentifIZierung hat.
Book
Accuracy and stability of numerical algorithms
TL;DR: This book gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic by combining algorithmic derivations, perturbation theory, and rounding error analysis.
Book
Visual Complex Analysis
TL;DR: This chapter discusses Geometry and Complex Arithmetic, non-Euclidean Geometry*, Winding Numbers and Topology, and Vector Fields and Complex Integration.
Book
Analysis and design of discrete linear control systems
TL;DR: Preliminary mathematics linear systems state feedback state estimation output feedback feedback and feedforward is presented, which aims to define the role of feedback in linear systems engineering.
Book
Polynomial and matrix computations (vol. 1): fundamental algorithms
Dario Andrea Bini,Victor Y. Pan +1 more
TL;DR: Interestingly, polynomial and matrix computations vol 1 fundamental algorithms 1st edition that you really wait for now is coming.