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Radar System Engineering

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688 RADAR RELAY [SEC. 174<br />

long signals from straddling two or more pulse intervals and thus providing<br />

false coincidences. It cannot, of course, prevent such blocks of<br />

signals from saturating the receiver and excludlng the desired pulses.<br />

A brief analysis of the effectiveness of the coding is worth while.<br />

Periodic pulses cannot give a response from V, unless their frequency is<br />

greater than the reciprocal of the delay times in the coding. Random<br />

pulses or noise do, however, have a finite probability of initiating a<br />

response. To calculate thk probability suppose that there are n random<br />

pulses per second and let r be their length. Then the fractional time<br />

during which the grid of Vdbis receiving signals through the delay line is m.<br />

The probability that a signal from a given undelayed pulse will overlap<br />

that from the delayed pulses is therefore Zrm, the factor 2 entering on the<br />

assumption that any overlap at all will produce a result. Thus the<br />

number of reinforced signals reaching the grid of Vi each second is 2n%.<br />

Since the probability that one of these will coincide with a pulse on the<br />

suppressor grid is n7,1 the total number of pulses triggering V, each<br />

second is 2 n’rz. This is to be compared with the number n of interfering<br />

signals originally present, the ratio of improvement being<br />

n/2n3r2<br />

= l/2n2r2.<br />

If, for example, r = 1 psec and n = 10,000, this ratio is 5000. The ratio<br />

improves for smaller n and vice versa.<br />

If the signal being relayed is the firing time of the modulator, the<br />

firing should, if possible, coincide with the transmission of the third pulse.<br />

If the modulator can be triggered with sufficient accuracy, the output<br />

connection indicated in -Fig. 17.2 can be used for this purpose. If, on<br />

the other hand, the modulator is self-synchronous, its pulse must be used<br />

to trigger the coder. The synchronizing pulse at the receiving station,<br />

which must await the arrival of the third pulse, will be 6 ~sec late. If<br />

this error cannot be tolerated, the video signals must be passed through a<br />

6-psec delay line before they reach the indicators.<br />

Figure 17.3 also illustrates one method for excluding all signals<br />

except during an interval surrounding the expected time of arrival of the<br />

desired signal. The coincidence pulse from the plate of Vi is passed, after<br />

buffering in Vw, through a 2-Asec delay line, and is used to trigger the<br />

flip-flop circuit formed by V* and V6b (Sec. 13.7), in which circuit<br />

the latter tube is normally off. After the flip-flop has been triggered, the<br />

current through VW lifts the cathode of Via, cutting this tube off by an<br />

amount greater than the signal level. The flip-flop is timed to reverse<br />

shortly before the next desired signal is expected. 1’1~ prevents an<br />

appreciable pedestal from appearing on the common plate circuit<br />

since it is turned on when VI. is turned off and vice versa. If the signals<br />

1The factor 2 does not enteragain.

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