creation of toeplitz matrix

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g 2021-12-15

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https://ww2.mathworks.cn/matlabcentral/answers/1611420-creation-of-toeplitz-matrix

评论： Star Strider 2021-12-15

Good morinig,

i have a cell matrix ( 6 x 1 ) where inside each cell i have a vector of two values. I would like to get a toeplitz matrix and I tried to use the command toeplitz(c,r) but I got the following error 'Inputs must be numeric'. In fact inside each cell I don't have a single value but a vector of two values.

What can i do? thanks

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Answer 1

Star Strider 2021-12-15

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It would help to see the code, since I have no idea what ‘r’ is.

That aside, try something like this —

cell_matrix = {rand(1,2); rand(1,2); rand(1,2)}
cell_matrix = 3×1 cell array
    {[0.8842 0.4232]}
    {[0.5807 0.8143]}
    {[0.9432 0.7645]}
r = rand(1,2)
r = 1×2
    0.7594    0.9229
tm = toeplitz([cell_matrix{:}], r)
Warning: First element of input column does not match first element of input row. 
         Column wins diagonal conflict.
tm = 6×2
    0.8842    0.9229
    0.4232    0.8842
    0.5807    0.4232
    0.8143    0.5807
    0.9432    0.8143
    0.7645    0.9432

This indexing convention extracts the data in the comma-separated list of the cell array and concatenates it, creating a numeric vector. I have no idea if that numeric vector is the desired one. Another option is the cell2mat function.

See Access Data in Cell Array for more details.

.

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g 2021-12-15

编辑：g 2021-12-15

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what I mean is that I have:

cell_matrix = 
{[0.9503 0.5174]}
{[0.2850 0.6280]}
{[0.4221 0.3325]}

And from this array I want to get the toeplitz matrix:

toeplitz_matrix=
[0.9503 0.5174] [0 0 ][0 0 ]
[0.2850 0.6280] [0.9503 0.5174] [0 0 ]
[0.4221 0.3325][0.2850 0.6280] [0.9503 0.5174] 

To do this I tried using

toeplitz(c,r)

where c corresponds to the first column and r to the first row. But I got the following error 'Inputs must be numeric'.

Star Strider 2021-12-15

在 MATLAB Online 中打开

It appears to be a ‘cell-of-cells’, so —

cell_matrix = { {[0.9503 0.5174]}
                {[0.2850 0.6280]}
                {[0.4221 0.3325]} }
cell_matrix = 3×1 cell array
    {1×1 cell}
    {1×1 cell}
    {1×1 cell}
M = cellfun(@cell2mat, cell_matrix, 'Unif',0)
M = 3×1 cell array
    {[0.9503 0.5174]}
    {[0.2850 0.6280]}
    {[0.4221 0.3325]}
M = cell2mat(M)
M = 3×2
    0.9503    0.5174
    0.2850    0.6280
    0.4221    0.3325
c = M(:,1)
c = 3×1
    0.9503
    0.2850
    0.4221
r = M(1,:)
r = 1×2
    0.9503    0.5174
Tm = toeplitz(c, r)
Tm = 3×2
    0.9503    0.5174
    0.2850    0.9503
    0.4221    0.2850