Abstract
In this thesis, we deal with symbol timing recover for fractal modulation. Our analysis is twofold. First, we investigate the impact of clock errors on the bit-error rate of the optimum receiver for a fractal modulation. Second, we propose clock synchronization techniques for fractal modulation. Our techniques include acquisition and tracking. We use exclusively the self-similar property of fractal modulation for signal acquisition. Moreover we use the wavelet multiresolution property for signal acquisition. Then, we extent the traditional Non-Data Aide Maximum likelihood (NDA-ML) tracking tech-nique to decision-directed ML method for signal tracking. Because of the oscillation of wavelet bases, the ML-based method cannot acquire the right timing of the slower band. The proposed acquisition technique can overcome this problem. In addition, we also develop a new tracking method based on orthogonal wavelet subbands. This helps us to overcome the ambiguity of multirate system timing.