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Time interleaving is one of the most efficient techniques employed in the design of high-speed sampled-data systems. However, the mismatches appearing among different channels will create distortion tones that will degrade the system performance. This paper presents a detailed analysis of the effect of sampling bandwidth mismatches in the statistical behavior of time-interleaved sampling systems. Closed-form and handy signal-to-noise distortion ratio formulas will also be derived which allow quick evaluation of the system performance, and the MATLAB simulations are provided in order to verify the effectiveness of those formulas. Finally, the corresponding design procedure extracted from the formulas will be further addressed through a design example.