Name
Abstract | ||
|---|---|---|
The focal point of this paper is a new result on the probabilistic robustness of a stochastic first order filter. For a first order filter transfer function, G(s,τ), we allow a class of probability distributions φ for the time constant τ and consider the following question: Given frequency ω⩾0 and unknown probability distribution f ∈ F, to what extent can the expected filter gain g(ω,τ)=|G(jω,τ)| deviate from some desired nominal value, g(ω, τ0)? It turns out that the deviations of concern are surprisingly low. For example, with 20% variation in τ, the expected filter gain deviates from g(ω,τ0) by no more than 0.4% of the zero frequency gain. In addition to performance bounds such as this, we also provide a so-called universal figure of merit. The word “universal” is used because the performance bound attained holds independently of the nominal τ0. The frequency ω⩾0 and the admissible probability distributions d∈F |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1109/ISCAS.2001.921203 | Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium |
Keywords | Field | DocType |
RC circuits,active filters,circuit stability,stochastic systems,transfer functions,RC circuit,gain envelope,probabilistic robustness analysis,probability distribution,stochastic first-order filter,time constant,transfer function,universal figure of merit | Active filter,Control theory,First order,Electronic engineering,Figure of merit,Omega,RC circuit,Probability distribution,Low-pass filter,Mathematics,Real versus nominal value | Conference |
Volume | ISBN | Citations |
2 | 0-7803-6685-9 | 1 |
PageRank | References | Authors |
0.54 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Winstead, V. | 1 | 1 | 0.54 |
| Barmish, B.R. | 2 | 71 | 20.04 |