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For N- element linear uniform array, the normalized array factor is represented as ______________(a) \(\frac{sin(Nᴪ/2)}{Nᴪ/2}\)(b) \(\frac{cos(Nᴪ/2)}{Nᴪ/2}\)(c) \(N\frac{sin(ᴪ/2)}{ᴪ/2}\)(d) \(N\frac{cos(Nᴪ/2)}{Nᴪ/2}\)This question was posed to me in an online quiz.I need to ask this question from Factors topic in section Antenna Array of Antennas

Answer»

Correct choice is (a) \(\FRAC{sin(Nᴪ/2)}{Nᴪ/2}\)

The best explanation: The N-element LINEAR uniform array, having a constant PHASE difference will have the array factor AF = \(∑_{n=1}^NE^{j(n-1)ᴪ}\)

NORMALIZED array factor is given by \(\frac{sin(Nᴪ/2)}{Nᴪ/2}\)



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