Average

Moving average frequency response over an image

Moving average frequency response over an image
  1. What is moving average in digital image processing?
  2. What is the frequency response of a moving average filter?
  3. Is moving average a FIR filter?
  4. What will be the response of a moving average filter of an impulse response?

What is moving average in digital image processing?

Moving average applied on images

Mathematically, the moving average is the convolution of the datum points with a fixed weighting function. One application is creating a pixelisation from a digital graphical image. For all the image on the right pixelisation is applied for several squares.

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 ).

Is moving average a FIR filter?

The moving average filter is a special case of the regular FIR filter. Both filters have finite impulse responses. The moving average filter uses a sequence of scaled 1s as coefficients, while the FIR filter coefficients are designed based on the filter specifications. They are not usually a sequence of 1s.

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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