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What will be the array factor in polynomial form for the 3 element binomial array if Z=e^(-iᴪ)?(a) 1+2z+z^2(b) 1+3z+3z^2+z^3(c) 1+2z+3z^2+z^3(d) 1+3z+z^2I got this question in an interview for job.This key question is from Binomial Array in portion Phased, Adaptive and Binomial Arrays of Antennas

Answer»

Correct choice is (a) 1+2z+z^2

To EXPLAIN I would say: The ARRAY factor AF = (1+z)^N-1and N is number of elements.

AF = (1+z)^3-1 = (1+z)^2 = 1+2z+z^2

Binomial array follows the Pascal’s triangle coefficients



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