منابع مشابه
Algorithms for Symbolic Linear Convolution
This paper describes algorithms to perform linear convolution of both piecewise continuous functions and discrete functions symbolically. The algorithms manipulate the piecewise representation of the functions to produce a piecewise representation of the result. In our piecewise representation, the end points of and the function de ned over each interval may be symbolic expressions. We have enc...
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Characterizing the complete input-output properties of a system by exhaustive measurement is usually impossible. Instead, we must find some way of making a finite number of measurements that allow us to infer how the system will respond to other inputs that we have not yet measured. We can only do this for certain kinds of systems with certain properties. If we have the right kind of system, we...
متن کاملConvolution of Discrete Measures on Linear Groups
Let p, q ∈ R such that 1 < p < 2 and 2 p = 1 + 1q . Define ‖f‖p = max x,G1 ( ∑ y∈G1 |f(xy)|p )1/p (*) where G1 is taken in some class of subgroups specified later. We prove the following two theorems about convolutions. Theorem 2. Let G = SL2(C) equipped with the discrete topology. Then there is a constant τ = τp > 0 such that for f ∈ `(G) ‖f ∗ f‖1/2 q ≤ C‖f‖1−τ p (‖f‖p) , where the maximum in ...
متن کاملSensitivity of Linear Convolution from Expert Judgments
Linear convolution of particular criteria is often used as aggregated criterion in problems of multicriteria optimization. The weights of significance of partial criteria can be obtained on the basis of their ranking by experts. Mistake in expert judgments may lead to inaccuracy in determining the weights and (as a consequence) to the inaccuracy in the solution of the problem of multicriteria o...
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In this correspondence, we present a fast thresholded linear convolution representation of morphological operations. The thresholded linear convolution representation of dilation and erosion is first proposed. A comparison of the efficiency of the direct implementation of morphological operations and the thresholded linear convolution representation of morphological operations is subsequently c...
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ژورنال
عنوان ژورنال: Lietuvos matematikos rinkinys
سال: 2019
ISSN: 2335-898X,0132-2818
DOI: 10.15388/lmr.a.2019.14959