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.

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