Toeplitz Matrix Construction

Hello,

I want to construct Topeltz Matrix -- T of or M * N .

I will be given first row and first column of the matrix .

Input are


row = T [ first row (M number )entries ] = [1, 0, 1, 1, 0, 1];

col = T[ first column (N - number ) entries ] = [1, 1, 0]' ;

And my T matrix is something look like this

T =

1 0 1 1 0 1
1 1 0 1 1 0
0 1 1 0 1 1



As we can see that Col 2 is constructed using Col 1 by shifting it down by one bit

C1 =
[ 1

1

0 ] ;



C2 =

[ 0 <----- This is the second entry of row input .

1

1 ];

and so on .........



I have written the same code in Matlab and it works fine .

I know that I have use shift register to write it in VHDL , but I am getting any idea how to proceed . Please can help me with this .

that defines the first row. just in this example is unnecessary to move anything

yes , U are correct .............

keep on shifting each row .......

thanks I got it ...........

please can U tell me how can I implement it

take the first column.

during

in process


column_shifter(0 to n-1) <= column_shifter( n-1) & column_shifter(0 to n-2);

so again M times

after each shift to remove the result. condition is not entirely clear. and what to do with the data columns.