Convolution without using conv; show table as if doing it on paper

Maria Pepper

2021 4 26

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6 次查看（30 天）

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I need to calculate a convolution of a user entered data and do so without using the conv command. I then need to show a table of the steps in which the convoultion is calculated by hand, as if doing it paper. A homework checker essentially. The way you calculate it on hand is as shown here:

I found 2 ways of calculating conv without using he literal conv commmand. They are as follows;

x=input('Enter the coefficients for x (surround with []): ')

h=input('Enter the coefficients for h (surround with []): ')

m=length(x);

n=length(h);

X=[x,zeros(1,n)];

H=[h,zeros(1,m)];

A = [X;H];

for i=1:n+m-1

Y(i)=0;

for j=1:m

if(i-j+1>0)

Y(i)=Y(i)+X(j)*H(i-j+1);

else

end

x=input('Enter the coefficients for x (surround with []): ');

h=input('Enter the coefficients for h (surround with []): ');

x = x';

h=h';

N = length(x)+length(h)-1;

x1 = [x; zeros(N-length(x),1)]

h1 = [h; zeros(N-length(h),1)]

filter(x1, 1, h1)

I'm really at a loss as to how to show the table. I tried creating one (A) in the first method but cant figure out how to get the calculation lines to output. It does show the X and H values

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Steven Lord 2021-4-27

Do you just want to display the intermediate steps or do you want to store them in some sort of variable?

David Goodmanson 2021-4-27

在 MATLAB Online 中打开

Hi Maria,

the convolution has length(x) + length(h) - 1 = 8 elements. If you zerofill x so that it has 8 elements

x = [x zeros(1,3)];

then using

x = circshift(x,1)

at each step will progressively shift x to the right, putting harmless placeholder zeros into the unneeded array elements. After that there are some details to complete the process.

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