The present invention concerns a method and device for demodulating received symbols using a turbo-demodulation scheme comprising an iterative channel equalization and wherein an iterative channel decoder is used in the turbo-demodulation scheme, characterized in that the iterative channel decoder performs a first iterative process named iterative decoding process, the turbo-demodulation performing a second iterative process named iterative demodulation and decoding process, at each iteration of the second iterative process, the iterative channel decoder executing plural iterations in order to decode bits from which symbols are derived from. The iterative channel decoder: —memorizes at the end of the iterations of the first iterative process, the variables used internally by the iterative channel decoder, —reads the memorized variables at the following iteration of the second iterative process.