I.V. Kolbasko – Ph.D.(Eng.), Dr.Sc. Candidate,
Military Academy of Aerospace Defense (Tver)
Е-mail: 1x5@bk.ru
I.G. Pivkin – Scientific and Pedagogical Worker,
Cherepovets Higher Military Engineering School of Radio Electronics
E-mail: cvviur6@mil.ru
V.V. Pechurin – Ph.D.(Eng.), Scientific and Pedagogical Worker,
Cherepovets Higher Military Engineering School of Radio Electronics
E-mail: cvviur6@mil.ru
Yu.M. Vikulova – Head of Projects,
JSC «Radio Engineering Institute» (Moscow)
D.R. Podryadchikov – Student,
Moscow Aviation Institute (National Research University)
The article proposes a method of extreme accumulation/detection of signal monitoring within a series of related region of space.The method differs from the known by principle of decisive statistics formation, which is gained by using signal values from several successive reviews selected by the criterion of maximum amplitude, which reduces the loss of information that occurs when using «rough» statistics generated when deciding on the presence (absence) of a signal in each review.The essence of the analyzed method is the formation of decisive statistics as the sum of squares of the maximum values of the signal from samples of limited volume K
obtained in K consecutive surveys s maxw sk,n nk2, , n N , where w is the v-dimensional weight function specifying the strobe;
k1
sk-signal realization in v-dimensional space, and k-th survey; N is the set of vector values that defines the coordinates of the resolution elements in the v-dimensional gate.
The selection of the maximum values of the signal is made retrospectively, so that the hypothesis of the presence of the target arises in the current review, and is checked taking into account the joint analysis of the signal received in the current and K-1 past reviews. The decision to detect a mark is made by comparing the decisive statistics with the detection threshold set by the criterion of fixed probability of false alarms. The decisive statistics can be calculated on an event basis-when the primary threshold (threshold of hypothesis occurrence) is exceeded by the signal in the current (last) review, or deterministically – for each signal of the current review fixed in terms of sample size. The article considers a deterministic method that involves the breakdown of the set of all elements of the discrete signal (resolution elements) of the current review into samples of equal volume, and the pseudo-random splitting principle is preferred in a multi-purpose situation. Thus, in each survey, regardless of the target stop, a fixed number of hypotheses about the presence of the target are tested. The element of resolution with respect to which the hypothesis is considered is the element of the primary sample containing the signal with the maximum amplitude. The gain from extreme accumulation-detection depends on the number of surveys the signal is monitored for, the sample size (gate size), the signal model, and the required false alarm probability. The analytical expressions for the probability density of the decisive statistics obtained in the article can be used to optimize the accumulation-detection algorithms implementing the considered method. Extreme accumulation-detection can be implemented as one of the stages of the primary signal processing, despite the fact that it contains elements of the secondary-Gating and linear extrapolation of the trajectory, and allows the use of known (available) algorithms of secondary processing.
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