MATLAB: Construction of shifted matrix from known matrix

fir filterimpulse response

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

Best Answer

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

Related Solutions

MATLAB: Fastest & most effective way to create this matrix:

one way

a =[1   2   3
   4   5   6
   7   8   9];
out = kron([0 0 ; 0 1],a);

MATLAB: Is there an example of how to save column-separated data under the column header name in MATLAB

You can use IMPORTDATA to import data like this. For help with IMPORTDATA, type the following at the MATLAB command prompt:

help importdata

You could also use the following example:

Here is an example of how to read a data file with columns into MATLAB variable names. The variable names in MATLAB match the column headers of the data file.

Save this as test.dat:

 H1  H2  H3  H4
 0   1.0  5   6
 1   2.3  7   8
 2   3.2  9   1
 3   4.7  2   3

Save this as test.m:

% get a file handle
fid=fopen('test.dat','r');
% read in the first line
line = fgetl(fid);
% parse the line for variable names
if(~isempty(line))
    zz = 1;
    line_size = size(line,2);
    tmpstring = [];
    varlist = [];
    while(zz <= line_size)
      % assume the variable names are separated by spaces
      if (real(line(zz)) ~= 32)
        tmpstring = [tmpstring line(zz) ];
        zz = zz+1;
      else
        if(~isempty(varlist))
          varlist = str2mat(varlist,tmpstring);
        else
          varlist = str2mat(tmpstring);
        end
        tmpstring = [];
        % increment the list until the next non-space
        while(zz < line_size & real(line(zz)) == 32 )
          zz = zz+1;
        end
      end
    end
    if(~isempty(tmpstring))
      varlist = str2mat(varlist,tmpstring);
    end
end
tmpmatrix = fscanf(fid,'%f %f %f %f',[4,inf])';
fclose(fid);
% assign the variable names
for(zz = 1:size(varlist,1))
    eval( [ varlist(zz,:) ' = tmpmatrix(:, ' num2str(zz) ');'])
end
clear ans fid line line_size tmpmatrix tmpstring varlist zz

Best Answer

Related Solutions

MATLAB: Fastest & most effective way to create this matrix:

MATLAB: Is there an example of how to save column-separated data under the column header name in MATLAB

Related Question