Question: The data in Table 11-13 are input samples taken by an A/D converter. Notice that if the input data were plotted, it would represent a

The data in Table 11-13 are input samples taken by an A/D converter. Notice that if the input data were plotted, it would represent a simple step function like the rising edge of a digital signal. Calculate the simple average of the four most recent data points, starting with OUT[4] and proceeding through OUT[10]. Plot the values for IN and OUT against the sample number n as shown in Figure 11-41.

Sample calculations:

(IN[n OUT[n] OUT[4] (IN[1] OUT[5] = (IN[2] = - - 3] + IN[n  2] + IN[n + IN[2] + IN[3] + IN[3] + IN[4] 1] +

(Notice that this calculation is equivalent to multiplying each sample by 1/4 and summing.)


Table 11-13

Sample n IN[n] (V) OUT[n] (V) 1 0 0 2 0 0 3 0 0 4 0 5 10 6 10 7 10 8 10 9 10 10 10


Figure 11-41

In/Out 10 (volts) 8 6 4 2 0 1 2 3 4 5 6 7 8 9 10 n

(IN[n OUT[n] OUT[4] (IN[1] OUT[5] = (IN[2] = - - 3] + IN[n 2] + IN[n + IN[2] + IN[3] + IN[3] + IN[4] 1] + IN[n])/4 = 0 + IN[4])/4 = 0 + IN[5])/4 = 2.5

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