Toeplitz (DSP Blockset)

Generate a matrix with Toeplitz symmetry.

Library

Matrix Functions, in Math Functions

Description

The Toeplitz block generates a Toeplitz matrix from vectors defining the first column and first row. The top input (Col) is the vector to be placed in the first column of the matrix. The bottom input (Row) is the vector to be placed in the first row of the matrix.

y = toeplitz(Col,Row)    % equivalent MATLAB code

Other elements, r_i,j, obey the relationship

The r₁₁ element is inherited from Col, and the two vectors must be the same length. For example, the following inputs

Col = [1 2 3 4 5]
Row = [7 7 3 3 2]

produce the Toeplitz matrix

When the Symmetric check box is selected, the block generates a symmetric (Hermitian) Toeplitz matrix from a single vector input (Row) defining both the first row and first column of the matrix:

y = toeplitz(Row)        % equivalent MATLAB code

For example, the Toeplitz matrix generated from the input vector [1 2 3 4] is

Note
If you expect to generate code for the Toeplitz block using the Real-Time Workshop, you should ensure that inputs are contiguous in memory. See the Contiguous Copy block for more information.

Dialog Box

Symmetric: Selects a symmetric Toeplitz matrix output.