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This paper proposes a new high-speed method of approximating system reliability. This method is an improved version of truth table approximation. While truth table approximation is simple and widely applicable, its approximation error becomes unreasonably poor as the failure probabilities of the components become worse. Here, we improve its accuracy. The key idea is to use information of non-enumerated...
The master benefit of squared distance minimization is that it need not parameterize the data points of the target curve, so it converges faster than those method need points parameterization. Whereas, SDM can be very sensitive to the original curve owe to its local optimization. We propose a new approach to improve this. In this paper, we associate SDM with procedures for automatically inserting...
UE-Bezier (unified and extended Bezier) basis is the unified form of Bezier-like bases, including polynomial Bezier basis, trigonometric polynomial and hyperbolic polynomial Bezier basis. Similar to the original Bezier-like bases, UE-Bezier basis functions are not orthogonal. In this paper, a group of orthogonal basis is constructed based on UE-Bezier basis. The transformation matrices between UE-Bezier...
This paper presents a simple approach to the modeling of solar radiation data with type-1 and type-2 fuzzy models. The approximation error associated with the fuzzy representation is specified by the modeler and is used in the procedure to obtain the fuzzy model. The approach allows fuzzy type-2 modeling using data with uncertainty. The proposed method is used to estimate solar radiation in Al-Kharga...
In this paper we analyze the impact of thresholding and quantization on the approximation of bandlimited signals and systems by sampling series that only use samples of the signal taken at the Nyquist rate. We show that there are stable systems that become unstable if the samples are quantized. For these systems the approximation error is unbounded irrespective of how small the quantization step size...
In mathematics, the Taylor series is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. In practice, we are interested in approximating a function f(x) near x = a by a polynomial of degree M. Other issues involved in approximation are how good the approximation is and over what interval can we expect the approximation to be good...
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