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Radar System Engineering

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SEC. 15.5]<br />

CHOICE OF PULSE LENGTH<br />

597<br />

where<br />

N. =<br />

“r =<br />

e=<br />

~=<br />

the number of pulses per scan on the target,<br />

pulse recurrence frequency,<br />

azimuth beamwidth in degrees between half-power points, and<br />

scan rate in degrees per second,<br />

we obtain the relation<br />

Sti, . “<br />

J- G,”<br />

From the preceding section we have<br />

(2)<br />

(3)<br />

where 7 is the pulse length.<br />

From Eqs. (1), (2), and (3) we obtain<br />

R m.<br />

~ P$~T54v,~,<br />

holding other parameters constant,<br />

or<br />

R~nx = Prvji. (4)<br />

The average power output is given by Pr v,.<br />

It is desirable to drive the transmitter of a high-performance groundbased<br />

system at the highest pulse power and the highest average power<br />

that it will safely withstand. The value of R- can then be increased by<br />

an increase in pulse length and a corresponding reduction in the pulse<br />

recurrence rate, leaving average power and pulse power fixed at their<br />

highest safe values.<br />

Limitations on pulse length are imposed by the following considerations:<br />

1.<br />

2.<br />

3.<br />

4.<br />

The minimum range difference at which two targets can be resolved<br />

vanes directly with pulse length. With a l-~sec pulse, aircraft<br />

inseparable in azimuth can be resolved if they differ in range by<br />

more than 164 yd plus a small distance which depends on the<br />

characteristics of the receiver and the indicator. With a 5-psec<br />

pulse, this limit for resolution becomes 820 yd plus the same<br />

additive constant.<br />

The intensity of cloud return relative to signal return from planes<br />

varies directly with pulse length (Sec. 3.10).<br />

The coverage area obscured by ground clutter will increase as pulse<br />

length is increased.<br />

Magnetron behavior has been found to become more critical, and<br />

requirements on the voltage pulse from the modulator to become<br />

more exacting, with increasing pulse length.

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