Generate an array of NxN circles using convolution method.

So here is the problem: I need to use the convolution method to generate an array of NxN circles where N is any positive number. Based on what I've perceived to tackle this problem, first, I have to make or use a function that pinpoints NxN locations in a meshgrid with equal distances from each other. Next is to make another function to generate a circle (radius can be varied). After that, I will convolve the two functions to generate an array of circles. To visualize, I've attached a simple diagram below.

So the distance between two points is twice the radius of the circle. The size of the meshgrid is fixed to 1024 by 1024 pixels. Can anyone help? Is my proposition even possible? Thanks.

[Matt J]

It's not clear what help you need. You seem to know exactly what you have to do.