DSP Blockset

Toeplitz

Generate a matrix with Toeplitz symmetry.

Library

Math Functions / Matrices and Linear Algebra / Matrix Operations

Description

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

• y = toeplitz(Col,Row)        % Equivalent MATLAB code
  

The other elements of the matrix obey the relationship

• y(i,j) = y(i-1,j-1)
  

and the output has dimension [length(Col) length(Row)]. The y(1,1) element is inherited from the Col input. For example, the following inputs

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

produce the Toeplitz matrix

If both of the inputs are sample-based, the output is sample-based. Otherwise, the output is frame-based.

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

• y = toeplitz(u)          % Equivalent MATLAB code
  

The output has dimension [length(u) length(u)]. For example, the Toeplitz matrix generated from the input vector [1 2 3 4] is

The output has the same frame status as the input.

Dialog Box

Symmetric

When selected, enables the single-input configuration for symmetric Toeplitz matrix output.

Supported Data Types

• Double-precision floating point
• Single-precision floating point
• Fixed-point
• Custom data types
• Boolean
• 8-, 16-, and 32-bit signed integers
• 8-, 16-, and 32-bit unsigned integers

To learn how to convert to the above data types in MATLAB and Simulink, see Supported Data Types and How to Convert to Them.

See Also

Constant Diagonal Matrix	DSP Blockset
toeplitz	MATLAB

Also see Matrix Operations for a list of all the blocks in the Matrix Operations library.

Time Scope

To Wave Device