Comparison of second- and fourth-order cumulant-based MUSIC method in the presence of sensor errors

We carry out a sensitivity analysis of fourth-order cumulant-based MUSIC method (FOC-MUSIC) via a generalized approach using a particular Taylor series expansion of a null spectrum function. We provide the variance of the estimate error for FOC-MUSIC with an emphasis on comparing robustness of FOC-MUSIC with that of the standard covariance matrix based MUSIC in the presence of sensor errors. We address the condition of effective aperture extension by higher-order cumulant-based processing, and give the new interpretation of effective aperture extension. A new fourth-order cumulants matrix is also given