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Determine the outputs y[4] and y[5] for the specified moving average filter and input sequence x[n]. Show your work.

x[n] = {2, 6, 3, 3, 1, 8, 9, 1}
filter: 3-point

y[4] = (2 + 6 + 3) / 3 = 3.67

y[5] = (6 + 3 + 3) / 3 = 4

Did you know?

Did you know that a moving average filter is a popular signal processing tool that can help smooth out a sequence of data points? By taking the average of neighboring data points, it provides a way to reduce noise and highlight any underlying trends in a signal. In the specific case of a 3-point moving average filter, the output values can be determined by finding the average of each set of three adjacent input values. For the given input sequence x[n] = {2, 6, 3, 3, 1, 8, 9, 1}, the outputs y[4] and y[5] can be calculated by taking the average of the adjacent input values: y[4] = (3 + 3 + 1) / 3 = 2.33 and y[5] = (3 + 1 + 8) / 3 = 4. You can try this technique to analyze and transform various types of data in signal processing applications.