Digital Signal Processing Using MATLAB and Wavelets

Chapter 9.5 - Down-Sampling and Up-Sampling

The down-sampling operation is easy enough to envision: only the even indexed values are kept. It squeezes the signal to half of its size. The inverse operation, up-sampling, stretches the signal back out, usually by inserting a 0 between each two successive samples. The effect of a down-sampler followed by an up-sampler is that every other value will be 0.

In this text, we show the down-sampler as the arrow followed by the number 2, as in the top left corner of Figure 9.7, and the up-sampler as in the top right corner of the same figure. Alternatively, some texts use the two symbols along the bottom of this figure, as in two inputs enter but only one leaves for the down-sampler, and one input enters but two exit the up-sampler.

Figure 9.7: Different ways to indicate down-samplers and up-samplers.


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