Expert Answer:
In MATLAB, the conv2
function is used to perform 2D convolution between two matrices. The syntax of conv2
is as follows:
C = conv2(A, B)
Here, A
and B
are input matrices, and C
is the output matrix after convolution. When A
and B
have the same size, the convolution is called "full convolution," which means that the output matrix C
has the same size as the sum of the sizes of A
and B
minus 1.
To perform full convolution using conv2
, the input matrices A
and B
are first flipped both horizontally and vertically. Then, the flipped B
matrix is slid over A
matrix, and the dot product of the overlapped elements is computed and added up. This process is repeated for all possible positions of B
on A
. The resulting matrix is the full convolution output C
.
Here is an example code that demonstrates how to perform full convolution using conv2
in MATLAB:
% create input matrices
A = randn(5, 5);
B = randn(3, 3);
% perform full convolution using conv2
C = conv2(A, flipud(fliplr(B)), 'full');
In this example, A
and B
are two random matrices of sizes 5x5 and 3x3, respectively. The flipud
and fliplr
functions are used to flip B
horizontally and vertically before performing the convolution. The 'full'
parameter is used to specify that full convolution is required. The resulting matrix C
has size 7x7, which is the sum of the sizes of A
and B
minus 1.