Phased Arrays - MATLAB Simulations for Radar Systems Design - page 350

The array is assumed to have the maximum number of identical elements along
the x-axis ( ). This number is denoted by , where is an odd num-
ber in order to obtain a symmetric array, where an element is present at
. The number of rows in the array is denoted by

y = 0 N x N x

( xy , ) = ( 00 , ) M . The hori-

zontal rows are indexed by m which varies from – ( N x – 1 ) ⁄ 2 to ( N x – 1 ) ⁄ 2 .

The number of elements in the mth row is denoted by N r and is defined by

N r = N x – m (8.71)

The electric field at a far field observation point is computed using Eq.
(8.24) and (8.25). The phase associated with

( mn , ) th location is

2π d x
λ

3
2

n
---

 

ψ mn = ------------ sin θ m + cos φ + n ------- sin φ

(8.72)

 

,

MATLAB Function Ðrect_array.mÑ

The function Ðrect_array.mÑ computes and plots the rectangular antenna
gain pattern in the visible U,V space. This function is given in Listing 8.5 in
Section 8.8. The syntax is as follows:

[pattern] = rect_array(Nxr, Nyr, dolxr, dolyr, theta0, phi0, winid, win, nbits)

where

Symbol Description Units Status

Nxr number of elements along x none input

Nyr number of elements along y none input

dolxr element spacing in lambda units along x wavelengths input

dolyr element spacing in lambda units along y wavelengths input

theta0 elevation steering angle degrees input

phi0 azimuth steering angle degrees input

winid -1: No weighting is used

1: Use weighting defined in win

none input

win window for sidelobe control none input

nbits negative #: perfect quantization none input

2 nbits positive #: use quantization levels

pattern gain pattern dB output