Delta pattern - Array design

Hell Rf people,

I have a question for u:

I'm designing an array antenna in order to synthetize a "delta" pattern defined as it follows:

- null for teta =0;
- Gain = 10 dB for teta= +/- 27 degress.

I'm using an array of patch antennas defined as it follows:

Positions:
1 (0,0)
2 (18.75,0)
3 (9.375,-9.375)
4 (9.375,9.375)

Excitations:
1 (0 dB, 0 degrees)
2 (0 dB, 180 degrees)
3 (0 dB, o degrees)
4 (0, 180 degrees)

At the moment I'm considering an isotropic radiator.

Unforntunately, I don't have a e.m. simulator with me.

Can anyone tell me if this configuration can work?
Frequency is at 1.6 GHz and Bandwidth is very very small.

Thanks in advance,

Lupin