A new formulation of transfer function matrix identtj?cation in frequency domain is introduced. It reduces the problem to a simple linear least square problem. It is shown that such a system identtjication problem is a special case of a matrix interpolation problem and much insight can be obtained b
Transfer function estimation from noisy input and output data
✍ Scribed by Wei Xing Zheng
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 114 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0890-6327
No coin nor oath required. For personal study only.
✦ Synopsis
Two new types of bias-eliminated least-squares (BELS) based algorithms are proposed for consistent identiÿcation of linear systems with noisy input and output measurements. It is shown that estimation of the noise variances can be implemented through one-dimension over-parametrization of the system transfer function. The two modiÿed BELS algorithms are attractive and meaningful in that noisy data are used directly in identiÿcation with no preÿltering and a direct estimate of system parameters is given without any parameter transformation. Simulation examples are included to demonstrate the e ectiveness of the two proposed algorithms. ?
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