The parameter estimation and signal detection is done by the linear canonical transform domain power spectrum. Authors first analyze the statistical characteristics of random signals through the LCT domain filter, and obtain some conclusion about the relationship between the input and output of random signal value, the relationship between the input and output random signal and correlation function , At the same time , power spectrum in the linear canonical transform domain were defined, study further the relationship between the correlation function and power spectrum in LCT domain, and parameter estimation for a single component chirp signal is done through the use of the relationship between the auto correlation function and power spectrum, the theory and the simulation results show that the method is better than the power spectrum estimation based on the FRFT domain.
