Question

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 1

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 \(\frac{sin(Nᴪ/2)}{Nᴪ/2}. \)