Linear Filtering

Linear filtering is a technique in which a coordinate is used to select adjacent samples from a discretely sampled signal and replace that signal with a linear approximation of the original. Consider the signal shown in Figure 6.15.


Figure 6.15. Resampling of a signal in one dimension

In Figure 6.15, the signal represented by the solid line has been discretely sampled at the points shown by the large dots. The original signal cannot be reconstructed by placing a straight line between each of the dots. In some areas of the signal, the linear reconstruction matches the original signal reasonably well. However, in other areas, the ...

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