The estimate of the dispersion of the random radio pulse with unknown time of arrival in the presence of the interference with unknown intensity

Abstract

We are considering a problem of the measurement of the dispersion of the random pulse signal with unknown time of arrival against the white noise and the correlated Gaussian interference. By applying a maximum likelihood method, we synthesize quasi-optimal, quasi-likelihood and adaptive estimation algorithms. We also find out the theoretical and experimental dependences for the characteristics of the obtained dispersion estimates that are then used in the study of the efficiency of the introduced algorithms and in the further investigation revea-6936 O.V. Chernoyarov et al. ling the loss in estimation accuracy, due to the absence of the prior information on intensity of operational interferences. We are to show that, with the adaptation in terms of intensity of the correlated interference, it is possible to obtain the dispersion estimate independent from the intensity of white noise, and its characteristics coincide asymptotically with the corresponding characteristics of the dispersion estimate, obtained under the a priori known intensities of interference and white noise.

Adaptive detection and time and power parameters estimation of the low-frequency random pulse with inexactly known duration against white and correlated hindrances

“…If random pulse (1) duration is inexactly known, then MLR output signal can be written down as follows [5]…”

“…In the beginning let us suppose that the signal (1) is present with probability 1 in the observable realization. Then, following [5], estimates…”

“…Assuming in Eq. (19) 0    , we receive variance of the normalized reliable MLE of appearance time of a signal (1) with a priori known duration [5].…”

“…One of possible effective ways on overcoming of the specified difficulties is the use of adaptive analysis algorithms, which are invariant to SD values of active disturbances [5]. Below we demonstrate the technique to find the algorithms of detection and appearance time, ME and dispersion estimates of the signal (1) with inexactly known duration, in case of the adaptation to the external disturbance of the unknown intensity.…”

“…85 where 0 1    is bandwidth, and 0  is SD value (intensity) of the process   t  . An unintentional (interburst) interference, which has passed through input filter (preselector) of receiving device or barrage jamming, can afford examples of such disturbances [3][4][5].…”