Construction of shifted matrix from known matrix

I have matrix 'h' which is of matrix 2056. I need to build matrix 'H' using shifted version of 'h'.

Construction example : Suppose an impulse responce has length of 6 :

h = [h0 h1 h2 h3 h4 h5 h6] '

I need to change length to FIR filter length of 4 such as :

H = [ h0 0 0 0 ]

[ h1 h0 0 0 ]

[ h2 h1 h0 0 ]

[ h3 h2 h1 h0 ]

[ h4 h3 h2 h1 ]

[ h5 h4 h3 h2 ]

[ 0 h5 h4 h3 ]

[ 0 0 h5 h4 ]

[ 0 0 0 h5 ]

I need to produce this kind of matrix. Any help will be very useful. Thank you

Answer 1

[Ameer Hamza]

Try toeplitz()

h = 1:6;
m = 4;
n = numel(h)+m-1;
M = toeplitz([h zeros(1,m-1)], [h(1) zeros(1,m-1)])

Result

>> M
M =
     1     0     0     0
     2     1     0     0
     3     2     1     0
     4     3     2     1
     5     4     3     2
     6     5     4     3
     0     6     5     4
     0     0     6     5
     0     0     0     6

[Abdul Sajeed Mohammed]

Thank you very much worked for me.

[Ameer Hamza]

I am glad to be of help!