Short Inner Block Codes for Serial Concatenated Codes and Bit-Interleaved Coded Modulation

We compute closed-form transfer characteristics for EXIT chart of short rate 1 block codes for binary erasure channel. These functions closely approximate the measurements over additive white Gaussian noise (AWGN) channel. Optimum irregular inner codes are derived for serial concatenated coding over AWGN channel. In addition, we apply the results on bitinterleaved coded modulation (BICM) and introduce signal set capacity on bit level. It is pointed out that capacity approaching performance with BICM requires new modulation schemes.