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Which of the following lowpass filters is/are covers the range of very smooth filter function?

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Which of the following lowpass filters is/are covers the range of very smooth filter function?

(a) Ideal lowpass filters

(b) Butterworth lowpass filter

(c) Gaussian lowpass filter

(d) All of the mentioned

I had been asked this question in examination.

My question comes from Smoothing Frequency-Domain Filters topic in section Intensity Transformations and Spatial Filtering of Digital Image Processing

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Correct option is (a) Ideal lowpass filters

To elaborate: Gaussian lowpass filter covers the range of very smooth filter functioning of lowpass filters.

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