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Parameter estimation of discrete systems via Hahn polynomials |
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| Authors: | CHYI HWANG CHYI-TSONG CHEN YEN-PING SHIH |
| Affiliation: | 1. Department of Chemical Engineering , National Cheng Kung University , Tainan , Taiwan , 70101 , Republic of China.;2. Department of Chemical Engineering and Technology , National Taiwan Institute of Technology , Taipei , Taiwan , 10772 , Republic of China. |
| Abstract: | This paper presents a procedure for using Hahn polynomials for the analysis and parameter estimation of linear discrete-time single-input/single-output systems described by difference equations. An advantage is gained through transforming a linear difference equation into a set of algebraic equations of the system parameters and the Hahn coefficients of the system variables. The key to the equation conversion is the derivation of a relation between the Hahn coefficients of a function and its time-shifted ones. Examples are provided to show the utilization of the procedure. |
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