System frequency response phase estimation based on skewness or kurtosis maximization

Higher order statistics are efficient for estimating the characteristics of linear systems frequency response, especially in terms of phases. Interesting methods are those based on kurtosis maximization. These methods have been developed essentially in the time domain. We give their transcription in terms of frequency response phases. These methods have been developed when the higher order spectrum is accurately estimated. Here we show through simulations and some partial theoretical justifications that they are also useful when the higher order spectrum estimate is not accurate