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Radar Technology for Level Gauging - Krohne

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3. <strong>Radar</strong>-Füllstandsmesssysteme<br />

3.6 FMCW radar<br />

3.6.1 Principle<br />

FMCW radar uses a linear frequency-modulated high-frequency signal; the transmission<br />

frequency rises e.g. linearly in a time interval (frequency sweep).<br />

transmitter<br />

mixer<br />

f<br />

a<br />

antenna<br />

reflector<br />

Due to the time delay during signal propagation, the transmitted frequency changes so<br />

that from the difference between the momentary transmitted frequency and the received<br />

frequency a low-frequency signal (typically up to a few kHz) is obtained. The frequency f<br />

of that signal is proportional to the reflector distance a; in this method, there<strong>for</strong>e, the<br />

delay t is trans<strong>for</strong>med into a frequency (df/dt is the sweep velocity):<br />

f = df/dt · t<br />

transmitter<br />

delay time<br />

t = 2a/c<br />

Technically, the differential frequency is <strong>for</strong>med by mixing. If the frequency sweep is<br />

linear, the frequency of the low-frequency mixed signal remains constant during the sweep<br />

procedure. Because the resultant signal frequencies 8 are low, further signal processing is<br />

technically simple and very accurate. Normally evaluation is by means of digital signal<br />

processing.<br />

3.6.2 Type model<br />

Fig. 8 shows an example of an FMCW radar system 9 .A variable oscillator VCO is controlled<br />

byamicroprocessor so that the desired frequency sweep is obtained. This signal is amplified<br />

and fed via a pin coupler into the transmitting antenna.<br />

The instantaneous frequency needs to be measured in order to ensure good sweep linearity.<br />

This is done by counting the frequency after it has been mixed with a known frequency<br />

(DRO).<br />

The received signal is decoupled via a directional coupler, mixed with the transmission<br />

signal, and processed by the microprocessor.<br />

8 As opposed to the pulse radar method<br />

9 The individual electronic components are described in Section 4.<br />

receiver<br />

differential frequency f<br />

frequency<br />

Fig. 7:<br />

Functional principle<br />

and signal trend in<br />

FMCW radar<br />

<strong>Radar</strong> handbook 13<br />

time<br />

3

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