| 1. |
- Guo, Lei, et al.
(author)
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Necessary and Sufficient Conditions for Stability of LMS
- 1996
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Reports (other academic/artistic)abstract
- In a recent work (7), some general results on exponential stability of random linear equations are established which can be applied directly to the performance analysis of a wide class of adaptive algorithms including the basic LMS ones without requiring stationarity independency and boundedness assumptions of the system signals The current paper attempts to give a complete characterization of the exponential stability of the LMS algorithms by providing a necessary and sucient condition for such a stability in the case of possibly unbounded nonstationary and non ?mixing signals The results of this paper can be applied to a very large class of signals including those generated fromeg a Gaussian process via a timevarying linear lter As an application several novel and extended results on convergence and tracking performance of LMS are derived under various assumptions Neither stationarity nor Markov chain assumptions are necessarily required in the paper
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| 2. |
- Guo, Lei, et al.
(author)
-
Necessary and Sufficient Conditions for Stability of LMS
- 1995
-
Reports (other academic/artistic)abstract
- Guo and Ljung (1995) established some general results on exponential stability of random linear equations, which can be applied directly to the performance analysis of a wide class of adaptive algorithms, including the basic LMS ones, without requiring stationarity, independency, and boundedness assumptions of the system signals. The current paper attempts to give a complete characterization of the exponential stability of the LMS algorithms by providing a necessary and sufficient condition for such a stability in the case of possibly unbounded, nonstationary, and non-φ-mixing signals. The results of this paper can be applied to a very large class of signals, including those generated from, e.g., a Gaussian process via a time-varying linear filter. As an application, several novel and extended results on convergence and the tracking performance of LMS are derived under various assumptions. Neither stationarity nor Markov-chain assumptions are necessarily required in the paper.
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| 3. |
- Guo, Lei, et al.
(author)
-
Necessary and Sufficient Conditions for Stability of LMS
- 1997
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In: IEEE Transactions on Automatic Control. - : Institute of Electrical and Electronics Engineers (IEEE). - 0018-9286 .- 1558-2523. ; 42:6, s. 761-770
-
Journal article (peer-reviewed)abstract
- Guo and Ljung (1995) established some general results on exponential stability of random linear equations, which can be applied directly to the performance analysis of a wide class of adaptive algorithms, including the basic LMS ones, without requiring stationarity, independency, and boundedness assumptions of the system signals. The current paper attempts to give a complete characterization of the exponential stability of the LMS algorithms by providing a necessary and sufficient condition for such a stability in the case of possibly unbounded, nonstationary, and non-φ-mixing signals. The results of this paper can be applied to a very large class of signals, including those generated from, e.g., a Gaussian process via a time-varying linear filter. As an application, several novel and extended results on convergence and the tracking performance of LMS are derived under various assumptions. Neither stationarity nor Markov-chain assumptions are necessarily required in the paper.
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| 4. |
- Jun-Yang, Wang, 1960
(author)
-
Substance or Context. A Study of the Concept of Place
- 1995
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Doctoral thesis (other academic/artistic)abstract
- During the recent decades the concept of place has been treated with intensity and frequency in architectural discourse. Much has been said about such issues as the sense of place, place versus placelessness, the loss of place and so on. This study surveys the concept of place as a theoretical issue of architecture in terms of two themes: place as substance and place as context. In light of these two themes, three further themes, called 'the immediate contextualism', 'towards an urban architecture' and 'spirits of place', are examined. The survey of "the immediate contextualism" starts from a shift from place as substance to place as context in the changing ideals of architecture during the second half of the 20th century. With the survey of the themes of 'towards an urban architecture' and 'the spirits of place', however, a re-shift from the place as context to place as substance becomes necessary, since what it is about with the first shift from place as substance to place as context on an architectural plane is, in the last analysis, not so much an issue of place as context as an issue of place as substance on an urban plane, namely, our cities. In regard to the changing nature of our cities, the study ends with an argument for open-minded concepts of place to rise to the challenge of new places.
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