Rational numbers and three Pulse PRI estimation

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Authors
  1. Prodanos, D.
Corporate Authors
Defence Research Establishment Ottawa, Ottawa ONT (CAN)
Abstract
The Pulse Repetition Interval (PRI) of a radar is an important parameter that can be used to classify the radar, identify the emitter type, and ascertain the current operating mode. There are many situations where only a limited number of radar pulses are detected, resulting in a sparse train of radar pulses. The theory of rational approximation provides one means of accurately determining the PRI of a sparse pulse train. The useful representations of the rational numbers are the Stern-Brocot tree and the Farey series. The Stern-Brocot tree is a binary tree containing all of the rational numbers in lowest terms. The Farey series is an ordering of all fractions with denominators less than a certain size. These two representations are useful when three pulses are used to provide an initial estimate of the PRI. Using a Gaussian time of arrival error model, this work shows how the Stern-Brocot tree and the Farey series can be used to quickly determine the most likely PRI estimates.

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Keywords
Deinterleaving;PRI (Pulse Repetition Interval);Emitter classification;Sparse Pulse Train;Stern-Brocot tree;Farey Series
Report Number
DREO-TM-2000-051 — Technical Memorandum
Date of publication
01 Sep 2000
Number of Pages
35
DSTKIM No
CA020168
CANDIS No
516849
Format(s):
Hardcopy;Document Image stored on Optical Disk

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