# MIT RadLab {complete set} Vol 01 - Radar System Engineering by L. Ridenour

By L. Ridenour

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Substitution of this expression for a in the radar equation, and the replacement, of R by h/sin 0, h being the height of the aircraft, leads to s = P = (4r)’R4 = p~2&;&4 ‘. (6b) If S is to be independent of 0 between O = 00 and 8 = 7r/2, we must require that G(o) vary aa CSC20 through this angular interval. The ideal antenna pattern then would be described by for 00<0< G = Go=& ~/2, G = O, at all other angles. (7) } The requirement of Eq. (7) imposes a restriction on the maximum gain GOwhich can be achieved and hence on the maximum range.

If, for simplicity, we require @ = 1/7 then S/kT@ becomes S7/k T. The prod- SEC. 10] THE STATISTICAL PROBLEM 35 uct of the received signal power S and the pulse duration 7 is just the energy contained in the received signal pulse, while k T is the average stored energy in a quiescent system with one degree of freedom. That the ultimate criterion of detectability should involve a comparison of these two quantities is certainly not surprising. Thus it is always possible to rewrite the radar equation, Eq.

They demonstrated their version of the cavity magnetron and furnished design information that enabled U. S. manufacturers to duplicate it promptly. In discussions with the Microwave Committee of the National Defense Research Committee, which had been set up a few months before, members of the British Mission proposed two specific projects which they suggested that the United States undertake: a microwave aircraftinterception equipment, and a microwave position finder for antiaircraft lire control.