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MODULE A- INTRODUCTION TO RADAR<br />

Simplifying terms gives:<br />

P<br />

r<br />

=<br />

PG<br />

t<br />

2<br />

2<br />

3<br />

θ π h K<br />

2<br />

1024ln 2R<br />

λ<br />

2<br />

2<br />

∑<br />

i<br />

D<br />

6<br />

i<br />

(15)<br />

Note the D i 6 dependence <strong>on</strong> the average received power.<br />

Radar Reflectivity Factor<br />

In Equati<strong>on</strong> (15), all variables except the summati<strong>on</strong> term, are either known or measured.<br />

We will now define the <strong>radar</strong> reflectivity factor, Z as:<br />

(16)<br />

Substituting (30) into (29) gives the <strong>radar</strong> equati<strong>on</strong> for distributed targets:<br />

P<br />

r<br />

=<br />

P G<br />

t<br />

2<br />

θ<br />

2<br />

3<br />

π h K<br />

2<br />

1024ln 2λ<br />

R<br />

2<br />

2<br />

Z<br />

(17)<br />

• Note the relati<strong>on</strong>ship between the received power, range and <strong>radar</strong> wavelength<br />

• Everything in Equati<strong>on</strong> (17) is measured or known except Z, the <strong>radar</strong> reflectivity factor.<br />

• Since the strength of the received power can span many orders of magnitude, then so<br />

does Z.<br />

• Hence, we take the log <strong>on</strong> Z according to:<br />

(18)<br />

• The dBZ value calculated above is what you see displayed <strong>on</strong> the <strong>radar</strong> screen or <strong>on</strong><br />

imagery accessed from the web.<br />

22<br />

TURKEY RADAR TRAINING 1.0 / ALANYA 2005

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