A New Order Determination Technique
Based On The Determination Of Singularity Of Principal Sub-Matrices
A. Al-Smadi1), M.
Abo-Zahhad1), IEEE Senior Member and S. M. Ahmed2)
1) Electronics Eng. Department,
Hijjawi Faculty for Eng. Technology, Yarmouk University, Irbid, Jordan
2) Electrical and Electronics
Department, Faculty of Engineering, Assiut University, Assiut, Egypt.
( smadi98@yahoo.com , zahhad@yahoo.com
and sabahma@yahoo.com )
Abstract
Model
order determination of a pole-zero system has been widely used in signal
processing and control systems. The most well known solutions for
this
problem are the following. The Akaike information criterion (AIC), The
minimum description length (MDL), and the minimum eigenvalue (MEV)
criteria.
In this paper, a novel technique for estimating the model orders of a pole-zero
system, which is an extension of the MEV method, is proposed. The proposed
method uses the determinant of sub matrices of the MEV criterion to search
for the corner that contains the estimates of the true orders. The search
is based on determination the singularity of principal sub matrices through
determinants. The observed sequence may or may not be contaminated by additive
Gaussian noise. Two illustrative examples are given to illustrate effectiveness
of the proposed technique in dealing with systems having different pole-zero
locations. The obtained results is comparable to that obtained by the MEV
criteria developed by Liang et. al. [6]. This approach does not require
prior estimation of the
model
parameters, which means less computation than the other MDL-based techniques.
