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The Scientist and Engineer's Guide to Digital Signal ...
277 CHAPTER15 EQUATION 15-1 Equation of the moving average filter. Inthis equation, is the input Signal , isx[]y[]the output Signal , and M is the number ofpoints used in the moving average . Thisequation only uses points on one side of theoutput sample being [i]'1 MjM&1j'0x[i%j]y[80]'x[80]%x[81]%x[82]%x[ 83]%x[84]5 moving average FiltersThe moving average is the most common filter in DSP, mainly because it is the easiest digitalfilter to understand and use. In spite of its simplicity, the moving average filter is optimal fora common task: reducing random noise while retaining a sharp step response. This makes it thepremier filter for time domain encoded signals. However, the moving average is the worst filterfor frequency domain encoded signals, with little ability to separate one band of frequencies fromanother. Relatives of the moving average filter include the Gaussian, Blackman, and multiple-pass moving average .
280 The Scientist and Engineer's Guide to Digital Signal Processing EQUATION 15-2 Frequency response of an M point moving average filter. The frequency, f, …
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