Adding background image to jTextArea?

I'd like to add a bacground image to JTextArea. Haw can I do that?

Code:

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public final class AreaTest extends JFrame
{
    public AreaTest(final Image image)
    {
        Container container = getContentPane();
        container.setLayout(new BorderLayout());

        JTextArea textArea = new JTextArea()
        {
            //Image grayImage = GrayFilter.createDisabledImage(image);
            {setOpaque(false);}

            public void paintComponent (Graphics g)
            {
                g.drawImage(image, 0, 0, (int)getSize().getWidth(), (int)getSize().getHeight(), this);
                //g.drawImage(grayImage, 0, 0, (int)getSize().getWidth(), (int)getSize().getHeight(), this);
                super.paintComponent(g);
            }
        };

        container.add(textArea);
    }


    public static void main(String[] args)
    {
        Toolkit toolkit = Toolkit.getDefaultToolkit();
        Image image = toolkit.createImage("bg.jpg");

        AreaTest areaTest = new AreaTest(image);
        areaTest.setSize(300, 300);
        //areaTest.setResizable(false);
        areaTest.setTitle("Area test");
        areaTest.setVisible(true);
    }
}

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