11-49. The data in Table 11-13 are input samples taken by an A/D converter. Notice that if the input data were plotted,

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11 49 The Data In Table 11 13 Are Input Samples Taken By An A D Converter Notice That If The Input Data Were Plotted 1 (69.79 KiB) Viewed 20 times

11-49. 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 11-410 Table 11-13 1 3 10 Sample n IN[n] () OUT[n] (V) - 2 0 4 5 6 0 10 10 To 7 8 10 10 9 9 10 0 0 10 0 0 0 In/Out 10 - (volts) 8- 6 6 4 2 0 1 1 TT 1 1 2 3 4 5 6 7 8 9 10 n Figure 11-41 Graph format for Problems 11-49 and 11-500 Sample calculations: 0 OUT[n] OUT4 OUT(5] = (IN[n – 3] + IN[n – 2] + IN[n – 1] + IN[n])/4 (IN[1] + IN[2] + IN[3] + IN[4])/4 = 0 (IN (2) + IN[3] + IN 4 + IN[5])/4 = 2.5 ( = = = (Notice that this calculation is equivalent to multiplying each sample by and summing.) 11-50. Repeat the previous problem using a weighted average of the last four samples. The weights in this case are placing greater emphasis on recent samples and less emphasis on older samples. Use the weights 0.1, 0.2, 0.3, and 0.4. OUT[n] = 0.1(IN[n – 3]) + 0.2(IN[n – 2]) + 0.3(IN[n – 1]) + 0.4(IN[n]) OUT(5] 0.1(IN[2]) + 0.2(IN[3]) + 0.3(IN[4]) + 0.4(IN[5]) 4 = =