In this paper, we show that an L/M rate changer can be realized as a discrete time SISO (L,M) shift invariant system in form of a two-dimensional kernel function or a filter bank structure. Based on this realization, we can implement an L/M rate changer by a bank of filters with the average number of the coefficients in the filters in each channel is 1/L of the original L/M rate changer. Hence, the system is speed up by L. This helps the designer to design a sharp cutoff discrete time FIR filters in an L/M rate changer for some real time applications in video systems
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