A nonlinearly excited sideband wave due to a magnetohydrodynamic interchange mode is observed in a radio frequency (t-f)-produced simple mirror plasma, and its excitation is discussed. The measured amplitude of the sideband wave field is compared with the theoretical value showing the agreement in order of magnitude, but the radial distribution is different. As the rfcurrent of the production source is changed, the sideband excitation level varies and this variation is explained by the density fluctuation and the difference of the dispersion relations between pump and sideband waves. Using the difference of the dispersion relations, it would be possible to suppress the sideband excitation and to reduce its destabilizing contribution.