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Normalized array factor of N –element linear array is ________(a) \(\frac{sin(Nᴪ/2)}{Nᴪ/2} \)(b) \(\frac{cos(Nᴪ/2)}{Nᴪ/2} \)(c) \(N\frac{sin(ᴪ/2)}{ᴪ/2} \)(d) \(N\frac{cos(Nᴪ/2)}{Nᴪ/2} \)The question was asked in homework.Question is from N-element Linear Array topic in portion Antenna Array of Antennas

Answer»

The correct option is (a) \(\frac{SIN(Nᴪ/2)}{Nᴪ/2} \)

To explain: 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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