ON THE EQUIVALENCE OF A TWO-POINT PARTIALLY COHERENT GEOMETRIC MODEL AND A THREE-POINT INCOHERENT ONE

• Main Authors: A. V. Kiselev, A. O. Podkopaev, M. A. Stepanov
• Format: Article
• Language: English
• Published: CRI «Electronics» 2018-03-01
• Series: Радиопромышленность
• Subjects: imitation; two-point geometric model; three-point non-equidistant model
• Online Access: https://www.radioprom.org/jour/article/view/279
• ISSN: 2413-9599; 2541-870X

The equivalence of a two-point geometric model radiating statistically coupled normal random processes and a three-point non-equidistant geometric model radiating randomly unrelated normal random processes is shown. A two-point model that emits statistically coupled signals is represented as a superposition of two models. One of them emits statistically unrelated signals. The second emits completely correlated ones. Thus, a three-point non-equidistant geometric model was obtained, radiating statistically unrelated signals with one virtual radiator. Analytic relationships are obtained that allow to synthesize one model according to the parameters of the other model. It is shown that for each two-point model that emits statistically coupled signals it is possible to synthesize an infinite set of three-point non-equidistant models differing from each other by the position of one of the radiators. Recommendations are formulated on the choice of the position of the virtual radiator of the three-point non-equidistant model, which provides the widest range of control of the model’s angular noise parameters. The obtained results can be used in the synthesis of a two-point geometric model that emits statistically coupled signals and provides a given correlation function of the angular noise.