Ha HCIIOJIb3OBaHHH nepeMesH~x oS~excra ## T. SODERSTOMt Snmmary--A class of identification methods, proposed in [3], am based on the instrumental variable principle. This correspondence contains a continued analysis of convergence of the parameter estimates of these methods. Alternative, sui~cien
The convergence of an instrumental-variable-like recursion
β Scribed by V. Solo
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 179 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0005-1098
No coin nor oath required. For personal study only.
β¦ Synopsis
The convergence of a modified form of the IV 6nstrumental-variable) recursion (actually a case of the integral adaptation algorithm of Landau) for the parameters of a scalar transfer function time series model is considered. It is known that this algorithm requires at least a positive real condition for its convergence. Here it is shown that the recursion converges without being monitored. In any case, the result is disappointing because the positive real condition depends on the transfer function characteristic function.
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