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Radar System Engineering

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654 MOVING-TARGET INDICATION [SEC. 1610<br />

.<br />

f, = 500 and the wind velocity is 25 mph, as is shown in Table 16.2.<br />

Thus, kj, should be about 1600 for this particular wind speed. In general,<br />

it is easy to obtain the required figure for Aj,, but not for n, witho’ut<br />

sacrifice elsewhere. Scanning fluctuations are the principal difficulty in<br />

MTI design.<br />

The quantity n is proportional to beamwidth and PRF, and inversely<br />

proportional to scanning rate. It has the value 120 for a PRF of 720 with<br />

a 1° beam rotating at 1 rpm. Although this set of constants satisfies the<br />

condition above, the scanning rate is too slow for many purposes. To<br />

attain greater rate without losing subclutter visibility, either the beamwidth<br />

or PRF must be raised; the alternative is to take a loss in subclutter<br />

visibility, which may be the best solution<br />

in some cases. For example, if the<br />

targets are all larger than the clutter, a<br />

subclutter visibility of zero db is sufficient.<br />

In that case the scanning rate can<br />

be raised to 30 rpm. It is, therefore, of<br />

considerable importance to use all possible<br />

methods of decreasing the size of the<br />

clutter relative to the moving targets,<br />

~<br />

o 100<br />

Radial speed in mph<br />

FIG, 16.24,—Distribution of rachal<br />

speeds for random aircraft, assuming<br />

all ground speeds equally likely in<br />

rarige 100 to 400 mph and all directions<br />

equally likely.<br />

such as shaping the beam in elevation,<br />

using short pulses, and choosing the site<br />

carefully.<br />

Blind Speeds.—It has already been<br />

seen that MTI causes an “average”<br />

loss of about 3 db when all radial speeds<br />

are equally probable. 1 This is true no<br />

matter where the blind speeds happen<br />

to fall. We are interested, however, in<br />

distributions<br />

targets such as airplanes and clouds which have non-uniform<br />

of radial speeds, and would like to know the best values of the blind<br />

speeds in these cases.<br />

Figure 16.24 shows the distribution of radial velocities for airplanes<br />

whose ground speed can have any value between 100 and 400 mph with<br />

equal probability and whose direction of flight is random. It is hard to<br />

choose the best blind speeds from this graph. There will probably be<br />

an average loss 1 of about 3 db, as in the case of a uniform distribution,<br />

whether there are many blind speeds in the interval O to 400 mph or<br />

whether the first optimum speed comes at, for example, 400 mph. The<br />

choice of blind speeds is of no particular consequence, per se; but there<br />

may be special cases, such as airport traffic control, where the radial speed<br />

can be regulated. Blind speeds can then be chosen accordingly.<br />

1See footnote on p. 651.

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