Basic performances of the acousto-optical cells, which can be potentially involved into creating the frontier acousto-optical systems for data processing such as the advanced spectrometers for the spectrum analysis of both optical and radio-wave signals with radically improved resolution or a novel triple-product acoustooptical processor for modern astrophysical applications, are under consideration. During the presented analysis we restrict ourselves by the Bragg limit of light scattering into the first order. The attention is paid at first to determining the expected efficiency of a few acousto-optical crystalline materials and then mainly to estimating the time-bandwidth product of acousto-optical cells, because just the last parameter can be taken as the most general one for the characterization of performance data inherent in each individual cell. Functional capabilities peculiar to the cells operating over either normal or anomalous light scattering regime are under discussion. Evidently, the anomalous regime of light scattering promises better results. Both the theoretical estimations and the experimental data obtained for a large-aperture acousto-optical cell based on a tellurium dioxide crystal, exploiting the non-degenerated anomalous light scattering, gives rather high the timebandwidth product equal to about 4000 .