A moving average is an averaging technique that can be applied to an analog, dis

Question

A moving average is an averaging technique that can be applied to an analog, discrete time, or digital signal. A moving average is based on the concept of windowing, as illustrated in the figure below. That portion of the signal that lies inside the window is averaged and the average values plotted as a function of time as the window moves across the signal. A 10-point moving average of the signal is given in the second figure. a. Discuss the effects of employing a moving average on the original signal. b. Develop a computer-based algorithm for computing a moving average, and determine the effect of the width of the averaging window on the signal described by

Explanation / Answer

a) benefits and effects of moving average on original signal:

signal smoothing done ( see diagram of signal after window average done) .

smoothing helps us to discover important patterns in our data while leaving out things that are unimportant (i.e. noise). We use moving average filtering to perform this smoothing. The goal of smoothing is to produce slow changes in value so that it's easier to see trends in our data.

Disadvantages of moving average:

Moving average algorithm is particularly damaging when the filter passes through peaks that are narrow compared to the filter width.

see below in commnets:

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