Real BCH codes as joint source channel codes for satellite images coding

In this paper, a Bose-Chaudhuri-Hocquenghem (BCH) coder in the field of the real numbers is investigated for simultaneous source coding and impulse noise cancellation of satellite images. Our channel is a binary symmetric channel (BSC). Our approach is to make a carefully designed interpolation of the subband images prior to quantization and transmission. Compared to a classical tandem source and channel coding (TSC) scheme, in which a binary BCH coder would take place after quantization, our approach makes use of BCH coding prior to quantization, thus, allowing joint source and channel decoding. We also examine the issue of robust transmission of wavelet compressed images through the noisy channel: simulations show that we obtain a 3.7 dB improvement in PSNR over the classical entropy coder for a global rate of 3.25 transmitted bits per pixel and small BSC crossover probability