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Motion compensation of non-linear stepped-frequency pulse train by least step error

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Abstract

Traditional stepped-frequency chirp pulse train suffers from high sidelobes and difficulty in compensating Doppler effect caused by target motion. This paper investigates a class of non-linear stepped-frequency chirp pulse train with low sidelobes and capability of clutter cancelation and motion compensation. An easy realizable least step error algorithm is developed to estimate the target’s radial velocity, which avoids multiple bursts required by other methods. The high signal-to-noise ratio as a result of sub-pulse compression assures the accuracy of estimation. The Cramer–Rao bound for lower limit on velocity estimation of the pulse train is derived to demonstrate its performance.

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Abbreviations

N :

Step number

f 0 :

Initial frequency carrier

Δf :

Frequency step size

B :

Sub-pulse bandwidth

T p :

Sub-pulse duration

T r :

Sub-pulse repetition interval

K :

Sub-pulse frequency modulation slope

l :

Number of sub-pulse transmitted

R :

Distance between target and radar

v :

Target’s radial velocity

\({\hat{v}}\) :

Estimation of target’s radial velocity

Δv :

Target’s radial velocity compensation requirement

ΔL :

Length of target

W :

Number of scatters of the target

Δr :

Distance between scatters

\({Be(\hat{v}})\) :

Least step error function

σ v :

Cramer–Rao bound

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Authors and Affiliations

  1. 706 Lab, EE College, University of Electronic Science and Technology of China, 610054, Chengdu, Sichuan, People’s Republic of China

    Yingrui Hu & Xuegang Wang

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  1. Yingrui Hu
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  2. Xuegang Wang
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Correspondence to Yingrui Hu.

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Hu, Y., Wang, X. Motion compensation of non-linear stepped-frequency pulse train by least step error. SIViP 4, 331–336 (2010). https://doi.org/10.1007/s11760-009-0123-6

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  • DOI: https://doi.org/10.1007/s11760-009-0123-6

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