There are provided examples of decoders and decoding methods. One decoder includes: a bitstream reader to provide a version of an input signal as a sequence of frames, each frame subdivided into a plurality of bins, each bin having a sampled value; a context definer to define a context for one bin under process, the context including at least one additional bin in a predetermined positional relationship with the bin under process; a statistical relationship and information estimator to provide statistical relationships between the bin under process and the at least one additional bin; and a value estimator to process and acquire an estimate of the value of the bin. There is included a noise relationship and information estimator providing statistical relationships and information regarding noise, which includes a noise matrix estimating relationships among noise signals among the bin under process and the at least one additional bin.