Cyclic step by step decoding method used in discrete fourier transform cyclic code of a communication system

Discrete Fourier transformation is applied to an analog system so that a signal be transfering, the analog data can be corrected before being quantized and after being transferred and received. In the DFT cyclic decoder and the method of the same, a cyclic property of DFT code is used to induce a decoding way in the receiving end of a communication system. This way is used to design a basic decoding circuit and a fast decoding circuit structure. Since the decoding process is quick and the structure is simple so that the analog error correcting code is used widely.