Joint source channel coding with Hermitian symmetric DFT codes

This paper considers the joint source channel coding using a new class of DFT codes which we refer to as Hermitian symmetric DFT (HSDFT) codes. A new decoding algorithm for decoding of HSDFT codes is presented. With this new decoding algorithm and an appropriate transmission scheme, HSDFT codes are capable of correcting more burst errors than the capacity of any maximum distance separable (MDS) code. Experimental results obtained by transmission of image over binary symmetric channel and Gilbert-Elliot channel are also presented, which show that HSDFT codes perform similar to the existing DFT class of codes on a binary symmetric channel while it performs consistently better (by around 2dB) on a Gilbert-Elliot like channel.