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Radar Technology for Level Gauging - Krohne

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Content page<br />

6 Wave propagation 28<br />

6.1 Propagation rate 28<br />

6.1.1 Influence of the carrier medium (atmosphere) 28<br />

6.1.2 Propagation rate on lines 30<br />

6.1.3 Propagation rate in stillwells/waveguides 31<br />

6.2 Transmission through dielectric windows 31<br />

6.3 Free-space attenuation 32<br />

6.4 Atmospheric signal attenuation 32<br />

6.5 Modified radar equation 34<br />

6.6 Equivalent isotropic radiation power (EIRP) 36<br />

6.7 Propagation along electric lines (TDR method) 37<br />

7 Reflection 38<br />

7.1 Reflection factor 38<br />

7.2 Reflection at interfaces 39<br />

7.3 Dielectric permittivity 40<br />

7.3.1 Chemico-physical assessment 40<br />

7.3.2 Frequency dependence 42<br />

7.3.3 Temperature and viscosity dependence 42<br />

7.3.4 Liquid mixes 42<br />

7.3.5 Bulk (particulate) materials 43<br />

7.4 Scattering from particulate materials 43<br />

7.5 Reflected radar cross-section from limited targets 44<br />

7.6 Angle of reflection 44<br />

8 Evaluation methods 45<br />

8.1 Object discrimination 45<br />

8.2 Unambiguity 45<br />

8.3 Measurement uncertainty 46<br />

8.4 Interference 46<br />

8.5 Sample calculation <strong>for</strong> received powers 48<br />

8.5.1 Useful signal 48<br />

8.5.2 Signal-to-noise ratio 48<br />

8.5.3 Signal-to-interference ratio of an interference reflector 48<br />

8.6 Signal evaluation in the pulse-radar system 49<br />

8.7 Signal evaluation in FMCW radar 50<br />

8.7.1 Counting method 50<br />

8.7.2 Fourier trans<strong>for</strong>m 50<br />

8.7.3 Phasegradient method 51<br />

8.7.4 Tracking 52<br />

8.8 Special methods 54<br />

8.8.1 Empty-tank spectrum 54<br />

8.8.2 Tank bottom tracing 55<br />

8.8.3 Interface detection 56<br />

Annex 58<br />

A Table of dielectric permittivity 58<br />

B System-theoretical comparison between interferometer and FMCW methods 60<br />

C Bibliography 63<br />

<strong>Radar</strong> handbook 3

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