An Extension of the Dynamic Characterization Method in Predicting Level‐Crossing Statistics
作者:
R. F. Lambert,
R. A. Janssen,
E. K. Dunens,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1971)
卷期:
Volume 49,
issue 1A
页码: 84-84
ISSN:0001-4966
年代: 1971
DOI:10.1121/1.1976057
出版商: Acoustical Society of America
数据来源: AIP
摘要:
The preceding paper utilizes an “equivalent system” approach to evaluate the response level‐crossing statistics of complex linear systems subjected to impulsive noise excitation. In the past, attention has been directed toward situations where either the impulse‐noise‐density parameter γ is small, say less than unity, or very large, say greater than 10. In the former it was necessary to include only the effect of the most recently occurring impulse, while the latter could be modeled with Gaussian statistics amenable to theoretical analysis. In this work, the analysis is extended to intermediate values of γ by including the effects of all of the preceding impulses in an approximate way. New analytical expressions are derived for the response level crossings. Empirical level‐crossing data from a single‐degree‐of‐freedom system is presented that shows this new approach to be promising with the theoretical results providing an upper bound on the data. Empirical studies on systems with several degrees of freedom also show the power‐weight method “equivalent system” approach developed for γ<1 to be valid for values of γ as large as 10. Thus, one can now utilize dynamic characterization to analyze conveniently the level‐crossing problem for a wide class of impulsive noise problems. [Work supported by grant from the National Science Foundation.]
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