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.comzahhad@yahoo.com and sabahma@yahoo.com )


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.

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