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Radar System Engineering

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SEC.1610] CHOICE OF SYSTEM CONSTANTS 652<br />

As is pointed out at the end of Sec. 16.6, the dependence on x is only<br />

approximate.<br />

The ratio Ro/s, which can be called the ‘‘ subclutter visibility,” gives<br />

a measure of the performance of an MT1 system. When scanning and<br />

wind effects are present together, along with the effect of system instability,<br />

we have to go back to Eq. (24) and write it as<br />

S = 2.4(r&c.m,,,n.+ ~~w,nd + &.m.rn); ‘, (27)<br />

since the three fluctuations are independent of each other. A-ow each<br />

fluctuation is proportional to the size of the clutter. Thus we have<br />

— R, = 1<br />

),~ (28)<br />

s<br />

1<br />

~+~<br />

( K~n’ K;A2j~ < + E: )<br />

where the terms in the denominator refer respectively to the effects of<br />

scanning, wind, and system instability. The quantities Kl and K2 are<br />

constants, but Ks may depend somewhat on A and f,. For example, it is<br />

probably harder to stabilize the local oscillator at 3 cm than at 10 cm.<br />

Again, Eq. (3) shows that the repetition rate enters into the stability<br />

condition. However, we shall assume, for simplicity, that the over-all<br />

system instability is independent of A and jr.<br />

16s10. Choice of <strong>System</strong> Constants.-The following are the objectives<br />

in the design of a ground radar set with MT1:<br />

1. Ylaxlmum sensitivity to moving targets in the clutter.<br />

2. Maximum sensitivity to moving targets in the clear.<br />

3. Maximum cancellation of undesirable moving objects, such as<br />

clouds.<br />

Some of these objectives are in direct conflict with the normal aims of<br />

a radar set. For example, a broad beam and slow rate of scan will reduce<br />

scanning fluctuations and therefore help the first obfective, but will<br />

decrease resolution and hamper the rate of flow of information. Because<br />

of this, MT1 should be integrated into the radar set from the start and<br />

not added as an afterthought.<br />

S’ubchdter Vi.sibik@-From Eq. (28) we see that the subclutter<br />

visibility can be increased by increasing n and A.f,,but that nothing much<br />

is gained by going greatly beyond the point where the scanning and wind<br />

fluctuations are equal to those due to system instability. A well-designed<br />

system might have an rms instability of 2 per cent, in which case,<br />

from Eq. (24), the greatest possible subclutter visibility is 26 db. There<br />

is then no need to make the individual subclutter risibilities for scanning<br />

and wind greater than 30 db. For the case of scanning, that means, from<br />

Eq. (25), that n does not have to be larger than 120 pulses per beamwidth.<br />

Again, from Eq. (24), therms wind fluctuation should be less than 22 db.<br />

This happens to be the value for wooded terrain when A = 3.2 cm and

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