Using stationary wavelet transform in bch image coding

This paper propose a novel technique that use efficient image compression based on stationary wavelet transform (SWT) decomposition and Bose-Chauhuri-Hochquenghem (BCH) coding for image transmission over additive white Gaussian noise (AWGN) channel. We know that, discrete wavelet transform (DWT) decomposition suffers a drawback which is the not time-invariant transform, leading to a non-redundant decomposition. This means, even with periodic signal extension, the DWT of a translated version of a signal X is not, in general, the translated version of the DWT of X. In such case, the use of an adequate wavelet transform that restore the translation invariance, appear efficient to give high-quality image reconstruction. Also, BCH coding is a linear block procedure that permits multiple-error bit correction over noisy channel. The idea is to combine efficient image compression gived by SWT decomposition with an exam of the selection of the Bose-Chauhuri-Hochquenghem (BCH) error correction codes applied to the low pass version at different decomposition level. By using BCH(63,45,3) code against the channel degradation, a significal improvement is obtained.