MATLAB: What is the meaning of L1 norm, L2 norm, Max norm in Wavelet

wavelet

I want to know the exact and detailed meaning.

If you can see the meaning of L1 in the graph below?

Norm is a function that is used to measure size of a vector.

Norms of a vector x given by

The three common norms are

1) L1 norm when p=1,

2) L2 norm when p=2,

3) Max norm when

Assume

Now coming to this question max norm is the one with maximum value (check the field with Maximum) = 1.414

Similarly you can correlate L1 norm and L2 norm.

Refer the below link for more details (slide 15)

 x/norm(x,1)

The l2 norm of a vector is the square root of the sum of the absolute values squared

X = randn(8,1);
norm(X,2)

The above is equal to

sqrt(sum(abs(X).^2))