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By Adriano Cappelli, David Heimann, Richard Kay

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1963. The Theory of Array Antennas. Lexington, MA: Lincoln Laboratory Tech. Report #323. 2. Blass, J. 1960. Multidirectional Antenna-A New Approach to Stacked Beams. 1960 IRE Int'l. Conv. Record, pt. 1, pp. 48-50. 3. Brookner, E. 1985. Phased Array Radars, Scientific American, vol. 252, no. 2 (Feb. 1985), p. 100. 4. Gardner, M. 1981. Mathematical Games. Scientific American, vol. 245, no. 2, (Aug. 1981) pp. 16-26. 5. Hansen, R. C. 1966. Microwave Scanning Antennas, vol. 2. New York: Academic Press.

Phase shifting can be made economic. N two-pole single throw switches (like a diode, which can be turned either on or oft) allow for 2N different phases. 13 which shows a two-bit phase shifting system. Switch positions 1 & 2 .. 13 Concept of a two-bit phase shifter 2 30 Radar Principles for the Non-Specialist Tabulated below are the four different phase shifts available from the two switches. Switch Positions 1 1 2 2 1 2 1 2 Resulting Phase Shift o deg 90 180 270 Two-bit phase shifters are too coarse for practical use, but three-, four-, and five-bit shifters are used.

5 dB Detailed curves of P d VS P fa with SIN as a parameter have been worked out by many (Barton, 1988, p. 62; Marcum, 1960; Skolnik, 1980, p. 28). I have used a home computer to generate curves using the approach discussed previously. 0. The open circles are points derived from the more elaborate theory. The small arrows show the extent of the error. Appreciable divergence at small SIN or high PIa is apparent. If the return signal is not an impulse in the probability dOinainiitmav have modulatIOn added to it by either toe target ot the intervening meoium ot both).

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