"Only after both design and implementation have been performed can data be filtered.Slide 13: Filter Coefficients and Filter Names In general, the z -transform Y ( z ) of a digital filter's output y ( n ) is related to the z -transform X ( z ) of the input by Many standard names for filters reflect the number of a and b coefficients present: When n = 0 (that is, b is a scalar), the filter is an Inf" . . . .