Create bit patterns in array of bytes [on hold]

I want to create bit patterns in an array of bytes. The patterns are to be created by setting individual bits to 1's and 0's in C language

The patterns are saw-tooth, sine wave, gradient. These patterns are then to be used as filters on some arrayed data.

Visually what I want to achieve is: Two dimensional patterned arary

The size of the arrays is my choice.

What could be some nice ways to achieve this by a C code.

Thanks