Mathematical expected value of errors in simulation of noise of angular coordinates of a distributed radar object replaced by a two-point geometric model

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Abstract

The replacement of a distributed radar object by a simple two-point matrix simulator is considered. In this case, the distributed object is replaced by a model composed of two points. It is shown that this leads to modeling errors, expressed in a change in the mathematical expected value of angular coordinate noise. Relationships have been obtained that allow, firstly, to estimate these errors and, secondly, to set the spacing of model points at which their acceptable level is guaranteed.

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About the authors

A. V. Kiselev

Novosibirsk State Technical University

Author for correspondence.
Email: nil_rtu@mail.ru
Russian Federation, Karl Marx avenue, 20, Novosibirsk, 630073

A. V. Tayurov

Novosibirsk State Technical University

Email: nil_rtu@mail.ru
Russian Federation, Karl Marx avenue, 20, Novosibirsk, 630073

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2. Fig. 1. Two-point matrix simulator.

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3. Fig. 2. Dependence of the bearing error χ on the given position of the KCI for δ=0.5α0.5, as well as the results of its approximation by linear (χ1 and χ4 (3)) and quadratic dependencies (χ2 and χ3 (4)); ±ξTP – positions of the transition points from linear to quadratic approximation.

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4. Fig. 3. Dependences of the average value of the bearing error on m for ky = 1, μ = 1 for δ=0.1α0.5 (a), 0.5α0.5 (b) and α0.5 (c): 1 – cosine-type antenna pattern, 2 – Gaussian exponent.

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5. Fig. 4. Mathematical expectation of the error at ky = 2, μ = 1 for δ=0.1α0.5 (a) and α0.5 (b): 1 – cosine-type DNA, 2 – Gaussian exponent.

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6. Fig. 5. Dependences of the maximum error of the mathematical expectation of the angular position of the object, normalized to the angular size of the object, on ky for μ=1 and δ= 0.1α0.5 (a), δ = 0.5α0.5 (b), δ = α0.5, (c): 1 – cosine-type DND, 2 – Gaussian exponent.

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