DSP Blockset

Matrix Square

Compute the square of the input matrix.

Library

Math Functions / Matrices and Linear Algebra / Matrix Operations

Description

The Matrix Square block computes the square of an M-by-N input matrix, u, by premultiplying with the Hermitian transpose.

y = u' * u           % Equivalent MATLAB code

A length-M 1-D vector input is treated as an M-by-1 matrix. For both sample-based and frame-based inputs, output y is sample-based with dimension N-by-N.

Applications

The Matrix Square block is useful in a variety of applications:

• General matrix squares - The Matrix Square block computes the output matrix, y, without explicitly forming u'. It is therefore more efficient than other methods for computing the matrix square.
• Sum of squares - When the input is a column vector (N=1), the block's operation is equivalent to a multiply-accumulate (MAC) process, or inner product. The output is the sum of the squares of the input, and is always a real scalar.
• Correlation matrix - When the input is a row vector (M=1), the output, y, is the symmetric autocorrelation matrix, or outer product.

Dialog Box

See Also

Matrix Multiply	DSP Blockset
Matrix Product	DSP Blockset
Matrix Sum	DSP Blockset
Transpose	DSP Blockset

Matrix Scaling

Matrix Sum