Convolution without convolution function

Question

Randa 2022-11-30

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https://ww2.mathworks.cn/matlabcentral/answers/1867778-convolution-without-convolution-function

评论： Rena Berman 2022-12-5

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So I have two square matrices of different sizes. I want to multiply each element of each matrix, sum them, then place the results(column by column)in another output matrix with the same size of the bigger matrix. In order to do that, I have to pad the bigger matrix and incorporate a for loop for the smaller matrix inside the bigger matrix where is shifts by one every iteration and performs the calculations. I also have to incorporate another for loop for the bigger matrix where I can perform those calculations(multiplying then summing)but my code doesn’t work for every size:

function homework M1=rand(7) M2=eye(4)

n=size(M1)-size(M2);%subtract size M2 from size M1 to get the right output padding size A=padarray(M1,n,"post"); %padding M1 with the padded size Output=zeros(size(M1)); %output matrix,set it first to zero

for i=1:size(A,1) for j=1:size(A,2) temp=A(i:i+n,j:j+n).*M2; Output(i,j)=sum(temp(:)); end end display(Output) end