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 t o 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 3.7dB improvement in PSNR over the classical entropy coder for a global rate of 3.25 transmitted bits per pixel and small BSC crossover probability.