Abstract: We discribe theoretically in this paper,with the expansion of the Bessel functions, the spinning sidebands (SB) and the approaches to the SB suppression of inhomogeneuos interactions under MAS. The analysis reveals that severe spectral distortions will appear with the most popular SB suppression technique TOSS, when the ratio of the strength of inhomogeneuos interaction under investigation to the spinning speed is larger than 2. An experimental comparison of the existing appraoches of the SB suppression is also made in the paper.