This thesis is mainly concerned with the time delay estimation (TDE) issue under the alpha-stable distribution noise environment by studying the conrrentropy theory. The research object is to find new TDE algorithms and improve traditional algorithms based on the conrrentropy theory. The TDE weighs very much in terms of the extraction of model parameters in the signal processing fields and it is of great meaning to the topic of TDE both in theory and application. As one of the promising ways of deve...