I have splash.png with gradient. But on screen this image looks not so good ...
My simple .apk for this question consists of:
public class TestditherActivity extends Activity {
@Override
public void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
    setContentView(R.layout.main);
}
  @Override
  public void onAttachedToWindow() {
    super.onAttachedToWindow();
    getWindow().setFormat(PixelFormat.RGBA_8888);
  }
}
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:id="@+id/LinearLayout01"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent"
    android:gravity="center" >
<ImageView
    android:layout_width="fill_parent"
    android:layout_height="fill_parent"
    android:scaleType="fitXY"
    android:src="@drawable/test"/>
</LinearLayout>
and test.xml:
<?xml version="1.0" encoding="utf-8"?> 
<bitmap
xmlns:android="http://schemas.android.com/apk/res/android"
android:src="@drawable/splash"
android:antialias="true"
android:dither="true" />
splash.png

result

How to apply RGBA_8888 and dither correctly? Where is my mistake?
The next code gives me perfect result in emulator, but not on the real device:
public class TestditherActivity extends Activity {
@Override
public void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
    setContentView(R.layout.main);
    getWindow().setFormat(PixelFormat.RGBA_8888);
    getWindow().addFlags(WindowManager.LayoutParams.FLAG_DITHER);
    BitmapFactory.Options options = new BitmapFactory.Options();
    options.inPreferredConfig = Bitmap.Config.ARGB_8888;
    Bitmap gradient = BitmapFactory.decodeResource(getResources(), R.drawable.splash, options);
    findViewById(R.id.linear).setBackgroundDrawable(new BitmapDrawable(gradient));
}
}
main.xml
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
android:id="@+id/linear"
android:layout_width="fill_parent"
android:layout_height="fill_parent"/>