A challenge of image communication over unreliable channels is to achieve good compression rates and be effective in presence of channel failures. In this work we use the Multiple Description Coding (MDC) techniques, based on Wavelet Transforms, that have been shown to be powerful against channel failures. We propose a Bit Allocation procedure that dispatch redundancy between the different channels when compressing to a target bit rate with a bounded side distortion. In this way we develop a MDC scheme well adapted to channel noise.