float hamming[fir_half] = {
   8.0000000e-02,
   8.3776594e-02,
   9.5044363e-02,
   1.1361829e-01,
   1.3919340e-01,
   1.7134973e-01,
   2.0955930e-01,
   2.5319469e-01,
   3.0153942e-01,
   3.5379966e-01,
   4.0911731e-01,
   4.6658405e-01,
   5.2525627e-01,
   5.8417059e-01,
   6.4235963e-01,
   6.9886793e-01,
   7.5276761e-01,
   8.0317366e-01,
   8.4925841e-01,
   8.9026514e-01,
   9.2552053e-01,
   9.5444568e-01,
   9.7656564e-01,
   9.9151721e-01,
   9.9905488e-01
   };