Average

Moving average filter frequency response

Moving average filter frequency response
  1. What is the frequency response of a moving average filter?
  2. What is the effect of the moving average filter?
  3. What will be the response of a moving average filter of an impulse response?

What is the frequency response of a moving average filter?

Frequency Response of the Running Average Filter

H(ω) = (1/L) (1 − e L)/(1 − e ).

What is the effect of the moving average filter?

Of all the possible linear filters that could be used, the moving average produces the lowest noise for a given edge sharpness. The amount of noise reduction is equal to the square-root of the number of points in the average. For example, a 100 point moving average filter reduces the noise by a factor of 10.

What will be the response of a moving average filter of an impulse response?

The moving average filter has an impulse response = rectangular function rect(.). From Lecture 3, slide 6, we have learned that the Fourier transform of a rectangular function is of the form of sin(x)/x, (or sinc(x)). Shown here is the frequency response of the moving average filter for different number of taps.

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