## FANDOM

186 Pages

Signal processing transforms the input signal to output signal using either linear transformation function or nonlinear transformation functions. If the input signal vector is $\mathbf{x}$, the output signal vector transformed by linear matrix filter is given by

$\mathbf{y} = \mathbf{W}\mathbf{x}$

where $\mathbf{W}$ is the linear transformation matrix. For nonlinear signal processing, the output signal vector is given by

$\mathbf{y} = f_w(\mathbf{x})$

where $f_w(.)$ is the nonlinear transformation function.