Model order determination using the Hankel matrix of impulse responses
نویسندگان
چکیده
This letter studies identification problems of model orders using the Hankel matrix of impulse responses of a system and presents two order identificationmethods: one is based on the singularities or ratios of the Hankel matrix determinants and the other is based on the singular value decomposition of the Hankel matrix. A numerical example verifies the proposed methods. © 2011 Elsevier Ltd. All rights reserved.
منابع مشابه
Calculation of One-dimensional Forward Modelling of Helicopter-borne Electromagnetic Data and a Sensitivity Matrix Using Fast Hankel Transforms
The helicopter-borne electromagnetic (HEM) frequency-domain exploration method is an airborne electromagnetic (AEM) technique that is widely used for vast and rough areas for resistivity imaging. The vast amount of digitized data flowing from the HEM method requires an efficient and accurate inversion algorithm. Generally, the inverse modelling of HEM data in the first step requires a precise a...
متن کاملSparse + Low Rank Decomposition of Annihilating Filter-based Hankel Matrix for Impulse Noise Removal
Recently, so called annihilating filer-based low rank Hankel matrix (ALOHA) approach was proposed as a powerful image inpainting method. Based on the observation that smoothness or textures within an image patch corresponds to sparse spectral components in the frequency domain, ALOHA exploits the existence of annihilating filters and the associated rank-deficient Hankel matrices in the image do...
متن کاملMR artifacts removal using sparse + low rank decomposition of annihilating filter based Hankel matrix
In this paper, we propose a sparse and low-rank decomposition of annihilating filter-based Hankel matrix for removing MR artifacts such as motion, RF noises, or herringbone artifacts. Based on the observation that some MR artifacts are originated from k-space outliers, we employ a recently proposed image modeling method using annihilating filter-based low-rank Hankel matrix approach (ALOHA) to ...
متن کاملSimulation and Control of Rotational Vibration of Sprayer Boom Using a Novel Suspension System
Sprayers are important tools in agriculture that usually moved on the field by tractor. Sprayers should distribute the constant rate of chemicals during various conditions encountered in the field. Unwanted vibrations of sprayer boom cause redaction of its life time and over doses and under doses of chemical sprayed on the field. Therefore, in this study a model of suspension system for rotatio...
متن کاملApplication of Self-Tuning Control System for Solution of Fault Tolerance Problem
Self-tuning control can provide desirable behaviour of a process even though the process parameters are unknown or may vary with time. Conventional self-tuning control requires that the speed of adaptation must be more rapid than that of the parameter changes. However, in practice, problems do arise when this is not the case. For example, when fault occurs in a process, the parameters may chang...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Appl. Math. Lett.
دوره 24 شماره
صفحات -
تاریخ انتشار 2011