For digital communication transmission system, the joint noncoherent demodulation and decoding scheme is suitable for noncoherent block fading channel. By the action of iterative demodulation and iterative decoding, the information is updated repetitively and thus the error performance becomes better. In this thesis, three noncoherent demodulation schemes are employed for different coherent length and quantization level. We compare various noncoherent demodulators and propose a new noncoherent demodulation algorithm by combining two noncoherent demodulators.