**PERIODIC
SEQUENCE
WITH
RANDOM
INDEPENDENT
DECIMATION**

**F.V. Golik, E.A. Porkhunov**

**Yaroslav-the-Wise Novgorod State University**

Received September 25, 2008

This
article describes analysis of sequence of time points. Points follow each
other with unknown constant period. Sequence consists of finite unknown number
of points. Each point of sequence can be decimated (lost) with some unknown
probability. Procedure of transformation of sequence, which makes possible the
detection of periodic sequence and evaluation of its parameters: period,
probability of decimation of points of sequence, number of points in original
sequence and coordinate of the center of sequence is suggested in this
article. Operating characteristics of detection and characteristics of
estimations of sequence parameters are found. Investigated process can serve
as an adequate model for detection of pulse packet of radio signals against
the background of signal-independent noise, which is received by passive
radio-locator, working on Neyman-Pearson criterion in case
when probability of false detection of single impulse is set to minimal value
(close to zero).