Binomial Antenna Array

[rf997]

Hello, I am trying to make a 3x3 patch antenna array. But I need to feed the antenna array with binomial coefficients. For example, if there was a 1x3 antenna array, I had to feed it with amplitudes of 1,2,1 according to the 3rd line of Pascal's triangle. However, I could not understand how to feed the 3x3 antenna array.

 

[D.A.(Tony)Stewart]

Something like this 2D element array

https://www.waves.utoronto.ca/prof/svhum/ece422/notes/15-arrays2.pdf

analyzed here https://www.researchgate.net/public...ays_for_Extremely_Low_Side_Lobe_Level/figures

 

[rf997]

Something like this 2D element array

View attachment 186458

View attachment 186459

https://www.waves.utoronto.ca/prof/svhum/ece422/notes/15-arrays2.pdf

analyzed here https://www.researchgate.net/public...ays_for_Extremely_Low_Side_Lobe_Level/figures

Thank you, but what I want to ask is what should be the feed amplitudes for each element of my antenna array? For example, while the feed amplitudes should be [1 4 6 4 1] for a 1*5 binomial antenna array, what should they be for a 3*3 binomial antenna array?

 

[D.A.(Tony)Stewart]

maybe . . . . or
1 2 1 . . 1 2 1
2 3 2 . . 2 4 2
1 2 1 . . 1 2 1

 

[oscillationeer]

Pascal's triangle (the binomial coefficients) in high-order limit becomes a Gaussian curve,
proportional to exp(-c*r^2 ).
Do you really need integers for the elemental amplitudes?
Do you really need a 3x3 square (as opposed to hexagonal array or irregular) layout?

 

[volker@muehlhaus]

For example, while the feed amplitudes should be [1 4 6 4 1] for a 1*5 binomial antenna array, what should they be for a 3*3 binomial antenna array?

Maybe this calculator can help you to test coefficients:

CALCULATOR

PARAMETERS Frequency: MHz Number of elements: 1 2 3 4 5 6 7 8 9 10 Inter-element distance: mm Antenna e...

antennaarraycalculator.blogspot.com

It supports binomial and user defined values.

As far as I understand pattern calculation, you can reduce your 3*3 array to one row when calculating coefficients.