Structure and Utility of Blind Speed Intervals Associated with Doppler Measurements of Range Rate

Abstract

In the case of a coherent pulsed radar system, the time rate of change of the slant range of an aircraft may be determined to within an integer multiple of a known speed by measuring the pulse-to-pulse phase shift in the reflection of a transmitted wave train of electromagnetic energy. The integer multiplier is not necessarily a known, and lack of knowledge of the multiplier gives rise to an ambiguity. The ambiguity may be removed by appropriate processing of the pulse-to-pulse phase shift in the reflection of each of two wave trains that differ in one or both of the dimensions of interpulse period and carrier frequency. The processing is tantamount to a two-phase estimation procedure that is based on some properties of a collection of intervals of real numbers generated by two known speeds that serve as the moduli of distinct congruence relations. There is a connection between this procedure and the use of the Chinese remainder theorem in a multiple channel search system as a means for determining true slant range from several ambiguous range cell numbers.... Doppler filtering, Aircraft range rate, Blind speed, Chinese remainder theorem.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1993
Accession Number
ADA263078

Entities

People

  • Robert G. Mulholland

Organizations

  • Federal Aviation Administration

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies
  • Sensors

DTIC Thesaurus Topics

  • Aircrafts
  • Carrier Frequencies
  • Commercial Aircraft
  • Computer Programming
  • Doppler Effect
  • Frequency
  • Frequency Shift
  • Measurement
  • Number Theory
  • Numbers
  • Phase Shift
  • Radar
  • Random Variables
  • Rational Numbers
  • Real Numbers
  • Repetition Rate
  • Slant Range

Readers

  • Operations Research
  • Radar Systems Engineering.